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lte-mi-error-model.cc
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1 /* -*- Mode: C++; c-file-style: "gnu"; indent-tabs-mode:nil; -*- */
2 /*
3 * Copyright (c) 2011 SIGNET LAB. Department of Information Engineering (DEI), University of Padua
4 *
5 * This program is free software; you can redistribute it and/or modify
6 * it under the terms of the GNU General Public License version 2 as
7 * published by the Free Software Foundation;
8 *
9 * This program is distributed in the hope that it will be useful,
10 * but WITHOUT ANY WARRANTY; without even the implied warranty of
11 * MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
12 * GNU General Public License for more details.
13 *
14 * You should have received a copy of the GNU General Public License
15 * along with this program; if not, write to the Free Software
16 * Foundation, Inc., 59 Temple Place, Suite 330, Boston, MA 02111-1307 USA
17 *
18 *
19 * Original Work Authors:
20 * Marco Mezzavilla <mezzavil@dei.unipd.it>
21 * Giovanni Tomasi <tomasigv@gmail.com>
22 * Original Work Acknowldegments:
23 * This work was supported by the MEDIEVAL (MultiMEDia transport
24 * for mobIlE Video AppLications) project, which is a
25 * medium-scale focused research project (STREP) of the 7th
26 * Framework Programme (FP7)
27 *
28 * Subsequent integration in LENA and extension done by:
29 * Marco Miozzo <marco.miozzo@cttc.es>
30 */
31 
32 
33 #include <list>
34 #include <tr1/functional>
35 #include <vector>
36 #include <ns3/log.h>
37 #include <ns3/pointer.h>
38 #include <stdint.h>
39 #include <cmath>
40 #include <stdint.h>
41 #include "stdlib.h"
42 #include <ns3/lte-mi-error-model.h>
43 
44 
45 
46 NS_LOG_COMPONENT_DEFINE ("LteMiErrorModel");
47 
48 namespace ns3 {
49 
50  // global table of the effective code rates (ECR)s that have BLER performance curves
51  double BlerCurvesEcrMap[38] = {
52  // QPSK (M=2)
53  0.01, 0.026, 0.04, // ECRs of MCS0 retx
54  0.08, 0.1, 0.11, 0.15, 0.19, 0.24, 0.3, 0.37, 0.44, 0.51, // ECRs of MCSs
55  // 16QAM (M=4)
56  0.075, 0.1, 0.15, // ECRs of MCS10 retx
57  0.3, 0.33, 0.37, 0.42, 0.48, 0.54, 0.6,// ECRs of MCSs
58  // 64QAM (M=6)
59  0.1075, 0.143, 0.215,// ECRs of MCS17 retx
60  0.43, 0.45, 0.5, 0.55, 0.6, 0.65, 0.7, 0.75, 0.8, 0.85, 0.89, 0.92// ECRs of MCSs
61  };
62 
63  // Table codifing standard MCSs ECR to available ECRs
64  uint8_t McsEcrBlerTableMapping[29] = {
65  3, 4, 5, 6, 7, 8, 9, 10, 11, 12,
66  16, 17, 18, 19, 20, 21, 22,
67  26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37
68  };
69 
70  // Table of ECR of the standard MCSs
71  double McsEcrTable [29] = {0.08, 0.1, 0.11, 0.15, 0.19, 0.24, 0.3, 0.37, 0.44, 0.51, 0.3, 0.33, 0.37, 0.42, 0.48, 0.54, 0.6, 0.43, 0.45, 0.5, 0.55, 0.6, 0.65, 0.7, 0.75, 0.8, 0.85, 0.89, 0.92
72  };
73 
74  // Table with ECRs obtained with retransmissions with BLER curves
75  double HarqRetxEcr[9] = {0.00064, 0.000512, 0.000041, 0.09, 0.027, 0.0081, 0.185, 0.079, 0.034
76  };
77 
78  // PCFICH-PDCCH Error model based on 3GPP R4-081920 "LTE PDCCH/PCFICH
79  // Demodulation Performance Results with Implementation Margin"
80 
81  double PdcchPcfichBlerCurveXaxis[PDCCH_PCFICH_CURVE_SIZE] = {
82  -10,-9.8,-9.6, -9.4, -9.2, -9.0, -8.8, -8.6, -8.4, -8.2, -8.0,
83  -7.8, -7.6, -7.4, -7.2, -7.0, -6.8, -6.6, -6.4, -6.2, -6.0,
84  -5.8, -5.6, -5.4, -5.2, -5.0, -4.8, -4.6, -4.4, -4.2, -4.0,
85  -3.8, -3.6, -3.4, -3.2, -3.0, -2.8, -2.6, -2.4, -2.2, -2.0,
86  -1.8, -1.6, -1.4, -1.2, -1.0
87  };
88 
89  double PdcchPcfichBlerCurveYaxis[PDCCH_PCFICH_CURVE_SIZE] = {
90  0.922602, 0.871559, 0.82334, 0.777789, 0.734758, 0.694107, 0.655706,
91  0.619429, 0.585159, 0.552785, 0.520927, 0.479229, 0.440869, 0.405579,
92  0.373114, 0.343104, 0.309947,0.279994, 0.252936, 0.228492, 0.206048,
93  0.181449, 0.159787, 0.140711, 0.123912, 0.109119, 0.0916184, 0.0769244,
94  0.0645871, 0.0542285, 0.0454971, 0.037584, 0.0310472, 0.0256473,
95  0.0211866, 0.0175023, 0.0144636, 0.0119524, 0.00987724, 0.00816236,
96  0.00673821, 0.00532283, 0.00420476, 0.00332154, 0.00262385, 0.0020727
97 
98  };
99 
100  int TbsIndex[32] = {0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 9, 10, 11, 12, 13, 14, 15, 15, 16, 17, 18, 19, 20, 21, 22, 23, 24, 25, 26, -1, -1, -1};
101 
102  uint16_t cbSizeTable[188] = { // as K column of table 5.1.3-3 of TS 36,212
103 
104  40, 48, 56, 64, 72, 80, 88, 96, 104, 112, 120, 128, 136, 144, 152,
105  160, 168, 176, 184, 192, 200, 208, 216, 224, 232, 240, 248, 256, 264,
106  272, 280, 288, 296, 304, 312, 320, 328, 336, 344, 352, 360, 368, 376,
107  384, 392, 400, 408, 416, 424, 432, 440, 448, 456, 464, 472, 480, 488,
108  496, 504, 512, 528, 544, 560, 576, 592, 608, 624, 640, 656, 672, 688,
109  704, 720, 736, 752, 768, 784, 800, 816, 832, 848, 864, 880, 896, 912,
110  928, 944, 960, 976, 992, 1008, 1024, 1056, 1088, 1120, 1152, 1184, 1216,
111  1248, 1280, 1312, 1344, 1376, 1408, 1440, 1472, 1504, 1536, 1568, 1600,
112  1632, 1664, 1696, 1728, 1760, 1792, 1824, 1856, 1888, 1920, 1952, 1984,
113  2016, 2048, 2112, 2176, 2240, 2304, 2368, 2432, 2496, 2560, 2624, 2688, 2752, 2816, 2880, 2944, 3008, 3072, 3136, 3200, 3264, 3328, 3392, 3456,
114  3520, 3584, 3648, 3712, 3776, 3840, 3904, 3968, 4032, 4096, 4160, 4224, 4288, 4352, 4416, 4480, 4544, 4608, 4672, 4736, 4800, 4864, 4928, 4992, 5056, 5120, 5184, 5248, 5312, 5376, 5440, 5504, 5568, 5632, 5696, 5760,
115  5824, 5888, 5952, 6016, 6080, 6144
116  };
117 
118  ;
119 
120 uint16_t cbMiSizeTable [9] = {40, 104, 160, 256, 512, 1024, 2560, 4032, 6144};
121 
122 
123 double MI_map_qpsk[MI_MAP_QPSK_SIZE] = {
124  0.008922, 0.011813, 0.014697, 0.017570, 0.020430, 0.023276, 0.026109, 0.028929, 0.031734, 0.034526, 0.037304, 0.040069, 0.042821, 0.045559, 0.048285, 0.050999, 0.053700, 0.056389, 0.059066, 0.061731, 0.064384, 0.067026, 0.069657, 0.072277, 0.074885, 0.077483, 0.080070, 0.082647, 0.085213, 0.087769, 0.090315, 0.092850, 0.095376, 0.097892, 0.100399, 0.102895, 0.105383, 0.107861, 0.110329, 0.112789, 0.115239, 0.117680, 0.120113, 0.122536, 0.124951, 0.127357, 0.129755, 0.132144, 0.134525, 0.136897, 0.139261, 0.141616, 0.143964, 0.146303, 0.148635, 0.150958, 0.153273, 0.155581, 0.157881, 0.160173, 0.162457, 0.164734, 0.167003, 0.169265, 0.171519, 0.173765, 0.176005, 0.178237, 0.180461, 0.182679, 0.184889, 0.187092, 0.189288, 0.191477, 0.193659, 0.195834, 0.198002, 0.200164, 0.202318, 0.204465, 0.206606, 0.208740, 0.210867, 0.212988, 0.215102, 0.217209, 0.219310, 0.221405, 0.223492, 0.225574, 0.227649, 0.229717, 0.231780, 0.233835, 0.235885, 0.237928, 0.239965, 0.241996, 0.244021, 0.246039, 0.248052, 0.250058, 0.252058, 0.254052, 0.256040, 0.258023, 0.259999, 0.261969, 0.263933, 0.265892, 0.267844, 0.269791, 0.271732, 0.273667, 0.275597, 0.277520, 0.279438, 0.281350, 0.283257, 0.285158, 0.287053, 0.288943, 0.290827, 0.292705, 0.294578, 0.296446, 0.298308, 0.300164, 0.302015, 0.303861, 0.305701, 0.307536, 0.309365, 0.311189, 0.313007, 0.314821, 0.316629, 0.318431, 0.320229, 0.322021, 0.323808, 0.325589, 0.327366, 0.329137, 0.330903, 0.332664, 0.334420, 0.336171, 0.337916, 0.339657, 0.341392, 0.343123, 0.344848, 0.346568, 0.348284, 0.349994, 0.351699, 0.353400, 0.355095, 0.356786, 0.358471, 0.360152, 0.361828, 0.363499, 0.365165, 0.366174, 0.367827, 0.369475, 0.371118, 0.372755, 0.374388, 0.376015, 0.377637, 0.379255, 0.380867, 0.382474, 0.384076, 0.385674, 0.387266, 0.388854, 0.390436, 0.392014, 0.393587, 0.395155, 0.396718, 0.398277, 0.399830, 0.401379, 0.402924, 0.404463, 0.405998, 0.407529, 0.409054, 0.410576, 0.412092, 0.413604, 0.415111, 0.416614, 0.418113, 0.419606, 0.421096, 0.422581, 0.424061, 0.425537, 0.427009, 0.428476, 0.429939, 0.431398, 0.432852, 0.434302, 0.435748, 0.437189, 0.438627, 0.440060, 0.441488, 0.442913, 0.444333, 0.445749, 0.447161, 0.448569, 0.449973, 0.451373, 0.452768, 0.454160, 0.455547, 0.456931, 0.458310, 0.459685, 0.461057, 0.462424, 0.463788, 0.465147, 0.466503, 0.467854, 0.469202, 0.470546, 0.471886, 0.473222, 0.474555, 0.475883, 0.477208, 0.478529, 0.479846, 0.481159, 0.482469, 0.483774, 0.485077, 0.486375, 0.487670, 0.488961, 0.490248, 0.491532, 0.492812, 0.494088, 0.495361, 0.496630, 0.497896, 0.499158, 0.500416, 0.501671, 0.502922, 0.504170, 0.505414, 0.506655, 0.507893, 0.509126, 0.510357, 0.511584, 0.512807, 0.514027, 0.515244, 0.516457, 0.517667, 0.518873, 0.520076, 0.521276, 0.522472, 0.523665, 0.524855, 0.526042, 0.527225, 0.528404, 0.529581, 0.530754, 0.531924, 0.533091, 0.534255, 0.535415, 0.536572, 0.537726, 0.538877, 0.540024, 0.541169, 0.542310, 0.543448, 0.544583, 0.545715, 0.546844, 0.547969, 0.549092, 0.550211, 0.551328, 0.552441, 0.553551, 0.554658, 0.555763, 0.556864, 0.557962, 0.559057, 0.560149, 0.561238, 0.562325, 0.563408, 0.564488, 0.565566, 0.566640, 0.567712, 0.568780, 0.569846, 0.570909, 0.571969, 0.573026, 0.574080, 0.575131, 0.576180, 0.577225, 0.578268, 0.579308, 0.580345, 0.581380, 0.582411, 0.583440, 0.584466, 0.585489, 0.586510, 0.587528, 0.588543, 0.589555, 0.590565, 0.591571, 0.592576, 0.593577, 0.594576, 0.595572, 0.596565, 0.597556, 0.598544, 0.599530, 0.600513, 0.601493, 0.602470, 0.603445, 0.604418, 0.605387, 0.606355, 0.607319, 0.608281, 0.609241, 0.610198, 0.611152, 0.612104, 0.613053, 0.614000, 0.614944, 0.615886, 0.616825, 0.617762, 0.618696, 0.619628, 0.620557, 0.621484, 0.622409, 0.623331, 0.624250, 0.625167, 0.626082, 0.626994, 0.627904, 0.628812, 0.629717, 0.630619, 0.631520, 0.632418, 0.633313, 0.634206, 0.635097, 0.635986, 0.636872, 0.637756, 0.638637, 0.639516, 0.640393, 0.641268, 0.642140, 0.643010, 0.643878, 0.644743, 0.645606, 0.646467, 0.647326, 0.648182, 0.649037, 0.649889, 0.650738, 0.651586, 0.652431, 0.653274, 0.654115, 0.654954, 0.655790, 0.656624, 0.657457, 0.658287, 0.659114, 0.659940, 0.660763, 0.661585, 0.662404, 0.663221, 0.664036, 0.664849, 0.665660, 0.666468, 0.667275, 0.668079, 0.668882, 0.669682, 0.670480, 0.671276, 0.672070, 0.672862, 0.673652, 0.674440, 0.675226, 0.676010, 0.676792, 0.677572, 0.678349, 0.679125, 0.679899, 0.680671, 0.681440, 0.682208, 0.682974, 0.683738, 0.684500, 0.685260, 0.686018, 0.686774, 0.687528, 0.688280, 0.689030, 0.689778, 0.690525, 0.691269, 0.692012, 0.692752, 0.693491, 0.694228, 0.694963, 0.695696, 0.696427, 0.697156, 0.697883, 0.698609, 0.699333, 0.700055, 0.700774, 0.701493, 0.702209, 0.702923, 0.703636, 0.704347, 0.705056, 0.705763, 0.706468, 0.707172, 0.707874, 0.708574, 0.709272, 0.709969, 0.710663, 0.711356, 0.712047, 0.712737, 0.713424, 0.714110, 0.714794, 0.715477, 0.716157, 0.716836, 0.717513, 0.718189, 0.718862, 0.719535, 0.720205, 0.720873, 0.721540, 0.722206, 0.722869, 0.723531, 0.724191, 0.724850, 0.725507, 0.726162, 0.726815, 0.727467, 0.728117, 0.728766, 0.729413, 0.730058, 0.730702, 0.731344, 0.731984, 0.732623, 0.733260, 0.733896, 0.734530, 0.735162, 0.735793, 0.736422, 0.737050, 0.737676, 0.738300, 0.738923, 0.739544, 0.740164, 0.740782, 0.741399, 0.742014, 0.742627, 0.743239, 0.743850, 0.744459, 0.745066, 0.745672, 0.746276, 0.746879, 0.747480, 0.748080, 0.748678, 0.749275, 0.749870, 0.750464, 0.751056, 0.751647, 0.752236, 0.752824, 0.753410, 0.753995, 0.754579, 0.755161, 0.755741, 0.756320, 0.756898, 0.757474, 0.758049, 0.758622, 0.759194, 0.759764, 0.760333, 0.760901, 0.761467, 0.762032, 0.762595, 0.763157, 0.763717, 0.764277, 0.764834, 0.765391, 0.765946, 0.766499, 0.767051, 0.767602, 0.768152, 0.768700, 0.769246, 0.769792, 0.770336, 0.770878, 0.771419, 0.771959, 0.772498, 0.773035, 0.773571, 0.774106, 0.774639, 0.775171, 0.775701, 0.776231, 0.776759, 0.777285, 0.777811, 0.778335, 0.778858, 0.779379, 0.779899, 0.780418, 0.780936, 0.781452, 0.781967, 0.782481, 0.782993, 0.783504, 0.784014, 0.784523, 0.785030, 0.785536, 0.786041, 0.786545, 0.787047, 0.787549, 0.788048, 0.788547, 0.789045, 0.789541, 0.790036, 0.790530, 0.791022, 0.791513, 0.792004, 0.792493, 0.792980, 0.793467, 0.793952, 0.794436, 0.794919, 0.795401, 0.795881, 0.796361, 0.796839, 0.797316, 0.797792, 0.798266, 0.798740, 0.799212, 0.799683, 0.800153, 0.800622, 0.801090, 0.801556, 0.802022, 0.802486, 0.802949, 0.803411, 0.803872, 0.804331, 0.804790, 0.805247, 0.805704, 0.806159, 0.806613, 0.807066, 0.807518, 0.807969, 0.808418, 0.808867, 0.809314, 0.809761, 0.810206, 0.810650, 0.811093, 0.811535, 0.811976, 0.812416, 0.812854, 0.813292, 0.813729, 0.814164, 0.814599, 0.815032, 0.815464, 0.815896, 0.816326, 0.816755, 0.817183, 0.817610, 0.818036, 0.818461, 0.818885, 0.819308, 0.819730, 0.820151, 0.820571, 0.820990, 0.821407, 0.821824, 0.822240, 0.822655, 0.823068, 0.823481, 0.823893, 0.824303, 0.824713, 0.825122, 0.825529, 0.825936, 0.826342, 0.826747, 0.827150, 0.827553, 0.827955, 0.828356, 0.828756, 0.829154, 0.829552, 0.829949, 0.830345, 0.830740, 0.831134, 0.831527, 0.831919, 0.832311, 0.832701, 0.833090, 0.833478, 0.833866, 0.834252, 0.834638, 0.835022, 0.835406, 0.835789, 0.836170, 0.836551, 0.836931, 0.837310, 0.837688, 0.838065, 0.838442, 0.838817, 0.839191, 0.839565, 0.839938, 0.840309, 0.840680, 0.841050, 0.841419, 0.841787, 0.842154, 0.842521, 0.842886, 0.843251, 0.843615, 0.843977, 0.844339, 0.844700, 0.845061, 0.845420, 0.845778, 0.846136, 0.846493, 0.846849, 0.847204, 0.847558, 0.847911, 0.848263, 0.848615, 0.848966, 0.849316, 0.849665, 0.850013, 0.850360, 0.850707, 0.851052, 0.851397, 0.851741, 0.852085, 0.852427, 0.852768, 0.853109, 0.853449, 0.853788, 0.854126, 0.854464, 0.854801, 0.855136, 0.855471, 0.855806, 0.856139, 0.856472, 0.856803, 0.857134, 0.857465, 0.857794, 0.858123, 0.858451, 0.858778, 0.859104, 0.859429, 0.859754, 0.860078, 0.860401, 0.860723, 0.861045, 0.861366, 0.861686, 0.862005
125 };
126 
127 
128 
129 double MI_map_qpsk_axis[MI_MAP_QPSK_SIZE] = {
130  0.013000, 0.017000, 0.021000, 0.025000, 0.029000, 0.033000, 0.037000, 0.041000, 0.045000, 0.049000, 0.053000, 0.057000, 0.061000, 0.065000, 0.069000, 0.073000, 0.077000, 0.081000, 0.085000, 0.089000, 0.093000, 0.097000, 0.101000, 0.105000, 0.109000, 0.113000, 0.117000, 0.121000, 0.125000, 0.129000, 0.133000, 0.137000, 0.141000, 0.145000, 0.149000, 0.153000, 0.157000, 0.161000, 0.165000, 0.169000, 0.173000, 0.177000, 0.181000, 0.185000, 0.189000, 0.193000, 0.197000, 0.201000, 0.205000, 0.209000, 0.213000, 0.217000, 0.221000, 0.225000, 0.229000, 0.233000, 0.237000, 0.241000, 0.245000, 0.249000, 0.253000, 0.257000, 0.261000, 0.265000, 0.269000, 0.273000, 0.277000, 0.281000, 0.285000, 0.289000, 0.293000, 0.297000, 0.301000, 0.305000, 0.309000, 0.313000, 0.317000, 0.321000, 0.325000, 0.329000, 0.333000, 0.337000, 0.341000, 0.345000, 0.349000, 0.353000, 0.357000, 0.361000, 0.365000, 0.369000, 0.373000, 0.377000, 0.381000, 0.385000, 0.389000, 0.393000, 0.397000, 0.401000, 0.405000, 0.409000, 0.413000, 0.417000, 0.421000, 0.425000, 0.429000, 0.433000, 0.437000, 0.441000, 0.445000, 0.449000, 0.453000, 0.457000, 0.461000, 0.465000, 0.469000, 0.473000, 0.477000, 0.481000, 0.485000, 0.489000, 0.493000, 0.497000, 0.501000, 0.505000, 0.509000, 0.513000, 0.517000, 0.521000, 0.525000, 0.529000, 0.533000, 0.537000, 0.541000, 0.545000, 0.549000, 0.553000, 0.557000, 0.561000, 0.565000, 0.569000, 0.573000, 0.577000, 0.581000, 0.585000, 0.589000, 0.593000, 0.597000, 0.601000, 0.605000, 0.609000, 0.613000, 0.617000, 0.621000, 0.625000, 0.629000, 0.633000, 0.637000, 0.641000, 0.645000, 0.649000, 0.653000, 0.657000, 0.661000, 0.665000, 0.669000, 0.673000, 0.677000, 0.681000, 0.685000, 0.689000, 0.693000, 0.697000, 0.701000, 0.705000, 0.709000, 0.713000, 0.717000, 0.721000, 0.725000, 0.729000, 0.733000, 0.737000, 0.741000, 0.745000, 0.749000, 0.753000, 0.757000, 0.761000, 0.765000, 0.769000, 0.773000, 0.777000, 0.781000, 0.785000, 0.789000, 0.793000, 0.797000, 0.801000, 0.805000, 0.809000, 0.813000, 0.817000, 0.821000, 0.825000, 0.829000, 0.833000, 0.837000, 0.841000, 0.845000, 0.849000, 0.853000, 0.857000, 0.861000, 0.865000, 0.869000, 0.873000, 0.877000, 0.881000, 0.885000, 0.889000, 0.893000, 0.897000, 0.901000, 0.905000, 0.909000, 0.913000, 0.917000, 0.921000, 0.925000, 0.929000, 0.933000, 0.937000, 0.941000, 0.945000, 0.949000, 0.953000, 0.957000, 0.961000, 0.965000, 0.969000, 0.973000, 0.977000, 0.981000, 0.985000, 0.989000, 0.993000, 0.997000, 1.001000, 1.005000, 1.009000, 1.013000, 1.017000, 1.021000, 1.025000, 1.029000, 1.033000, 1.037000, 1.041000, 1.045000, 1.049000, 1.053000, 1.057000, 1.061000, 1.065000, 1.069000, 1.073000, 1.077000, 1.081000, 1.085000, 1.089000, 1.093000, 1.097000, 1.101000, 1.105000, 1.109000, 1.113000, 1.117000, 1.121000, 1.125000, 1.129000, 1.133000, 1.137000, 1.141000, 1.145000, 1.149000, 1.153000, 1.157000, 1.161000, 1.165000, 1.169000, 1.173000, 1.177000, 1.181000, 1.185000, 1.189000, 1.193000, 1.197000, 1.201000, 1.205000, 1.209000, 1.213000, 1.217000, 1.221000, 1.225000, 1.229000, 1.233000, 1.237000, 1.241000, 1.245000, 1.249000, 1.253000, 1.257000, 1.261000, 1.265000, 1.269000, 1.273000, 1.277000, 1.281000, 1.285000, 1.289000, 1.293000, 1.297000, 1.301000, 1.305000, 1.309000, 1.313000, 1.317000, 1.321000, 1.325000, 1.329000, 1.333000, 1.337000, 1.341000, 1.345000, 1.349000, 1.353000, 1.357000, 1.361000, 1.365000, 1.369000, 1.373000, 1.377000, 1.381000, 1.385000, 1.389000, 1.393000, 1.397000, 1.401000, 1.405000, 1.409000, 1.413000, 1.417000, 1.421000, 1.425000, 1.429000, 1.433000, 1.437000, 1.441000, 1.445000, 1.449000, 1.453000, 1.457000, 1.461000, 1.465000, 1.469000, 1.473000, 1.477000, 1.481000, 1.485000, 1.489000, 1.493000, 1.497000, 1.501000, 1.505000, 1.509000, 1.513000, 1.517000, 1.521000, 1.525000, 1.529000, 1.533000, 1.537000, 1.541000, 1.545000, 1.549000, 1.553000, 1.557000, 1.561000, 1.565000, 1.569000, 1.573000, 1.577000, 1.581000, 1.585000, 1.589000, 1.593000, 1.597000, 1.601000, 1.605000, 1.609000, 1.613000, 1.617000, 1.621000, 1.625000, 1.629000, 1.633000, 1.637000, 1.641000, 1.645000, 1.649000, 1.653000, 1.657000, 1.661000, 1.665000, 1.669000, 1.673000, 1.677000, 1.681000, 1.685000, 1.689000, 1.693000, 1.697000, 1.701000, 1.705000, 1.709000, 1.713000, 1.717000, 1.721000, 1.725000, 1.729000, 1.733000, 1.737000, 1.741000, 1.745000, 1.749000, 1.753000, 1.757000, 1.761000, 1.765000, 1.769000, 1.773000, 1.777000, 1.781000, 1.785000, 1.789000, 1.793000, 1.797000, 1.801000, 1.805000, 1.809000, 1.813000, 1.817000, 1.821000, 1.825000, 1.829000, 1.833000, 1.837000, 1.841000, 1.845000, 1.849000, 1.853000, 1.857000, 1.861000, 1.865000, 1.869000, 1.873000, 1.877000, 1.881000, 1.885000, 1.889000, 1.893000, 1.897000, 1.901000, 1.905000, 1.909000, 1.913000, 1.917000, 1.921000, 1.925000, 1.929000, 1.933000, 1.937000, 1.941000, 1.945000, 1.949000, 1.953000, 1.957000, 1.961000, 1.965000, 1.969000, 1.973000, 1.977000, 1.981000, 1.985000, 1.989000, 1.993000, 1.997000, 2.001000, 2.005000, 2.009000, 2.013000, 2.017000, 2.021000, 2.025000, 2.029000, 2.033000, 2.037000, 2.041000, 2.045000, 2.049000, 2.053000, 2.057000, 2.061000, 2.065000, 2.069000, 2.073000, 2.077000, 2.081000, 2.085000, 2.089000, 2.093000, 2.097000, 2.101000, 2.105000, 2.109000, 2.113000, 2.117000, 2.121000, 2.125000, 2.129000, 2.133000, 2.137000, 2.141000, 2.145000, 2.149000, 2.153000, 2.157000, 2.161000, 2.165000, 2.169000, 2.173000, 2.177000, 2.181000, 2.185000, 2.189000, 2.193000, 2.197000, 2.201000, 2.205000, 2.209000, 2.213000, 2.217000, 2.221000, 2.225000, 2.229000, 2.233000, 2.237000, 2.241000, 2.245000, 2.249000, 2.253000, 2.257000, 2.261000, 2.265000, 2.269000, 2.273000, 2.277000, 2.281000, 2.285000, 2.289000, 2.293000, 2.297000, 2.301000, 2.305000, 2.309000, 2.313000, 2.317000, 2.321000, 2.325000, 2.329000, 2.333000, 2.337000, 2.341000, 2.345000, 2.349000, 2.353000, 2.357000, 2.361000, 2.365000, 2.369000, 2.373000, 2.377000, 2.381000, 2.385000, 2.389000, 2.393000, 2.397000, 2.401000, 2.405000, 2.409000, 2.413000, 2.417000, 2.421000, 2.425000, 2.429000, 2.433000, 2.437000, 2.441000, 2.445000, 2.449000, 2.453000, 2.457000, 2.461000, 2.465000, 2.469000, 2.473000, 2.477000, 2.481000, 2.485000, 2.489000, 2.493000, 2.497000, 2.501000, 2.505000, 2.509000, 2.513000, 2.517000, 2.521000, 2.525000, 2.529000, 2.533000, 2.537000, 2.541000, 2.545000, 2.549000, 2.553000, 2.557000, 2.561000, 2.565000, 2.569000, 2.573000, 2.577000, 2.581000, 2.585000, 2.589000, 2.593000, 2.597000, 2.601000, 2.605000, 2.609000, 2.613000, 2.617000, 2.621000, 2.625000, 2.629000, 2.633000, 2.637000, 2.641000, 2.645000, 2.649000, 2.653000, 2.657000, 2.661000, 2.665000, 2.669000, 2.673000, 2.677000, 2.681000, 2.685000, 2.689000, 2.693000, 2.697000, 2.701000, 2.705000, 2.709000, 2.713000, 2.717000, 2.721000, 2.725000, 2.729000, 2.733000, 2.737000, 2.741000, 2.745000, 2.749000, 2.753000, 2.757000, 2.761000, 2.765000, 2.769000, 2.773000, 2.777000, 2.781000, 2.785000, 2.789000, 2.793000, 2.797000, 2.801000, 2.805000, 2.809000, 2.813000, 2.817000, 2.821000, 2.825000, 2.829000, 2.833000, 2.837000, 2.841000, 2.845000, 2.849000, 2.853000, 2.857000, 2.861000, 2.865000, 2.869000, 2.873000, 2.877000, 2.881000, 2.885000, 2.889000, 2.893000, 2.897000, 2.901000, 2.905000, 2.909000, 2.913000, 2.917000, 2.921000, 2.925000, 2.929000, 2.933000, 2.937000, 2.941000, 2.945000, 2.949000, 2.953000, 2.957000, 2.961000, 2.965000, 2.969000, 2.973000, 2.977000, 2.981000, 2.985000, 2.989000, 2.993000, 2.997000, 3.001000, 3.005000, 3.009000, 3.013000, 3.017000, 3.021000, 3.025000, 3.029000, 3.033000, 3.037000, 3.041000, 3.045000, 3.049000, 3.053000, 3.057000, 3.061000, 3.065000, 3.069000, 3.073000, 3.077000, 3.081000, 3.085000, 3.089000, 3.093000, 3.097000, 3.101000, 3.105000, 3.109000, 3.113000, 3.117000, 3.121000, 3.125000, 3.129000, 3.133000, 3.137000, 3.141000, 3.145000, 3.149000, 3.153000, 3.157000, 3.161000, 3.165000, 3.169000, 3.173000, 3.177000, 3.181000, 3.185000, 3.189000, 3.193000, 3.197000
131 };
132 
133 
134 double MI_map_16qam[MI_MAP_16QAM_SIZE] = {
135  0.018884, 0.021859, 0.024808, 0.027732, 0.030631, 0.033506, 0.036357, 0.039185, 0.041991, 0.044776, 0.047538, 0.050280, 0.053002, 0.055703, 0.058385, 0.061048, 0.063692, 0.066318, 0.068925, 0.071514, 0.074086, 0.076640, 0.079178, 0.081699, 0.084203, 0.086691, 0.089163, 0.091619, 0.094059, 0.096484, 0.098894, 0.101289, 0.103669, 0.106034, 0.108385, 0.110721, 0.113043, 0.115351, 0.117645, 0.119926, 0.122192, 0.124446, 0.126686, 0.128912, 0.131126, 0.133326, 0.135514, 0.137689, 0.139852, 0.142001, 0.144139, 0.146101, 0.148211, 0.150308, 0.152392, 0.154464, 0.156524, 0.158571, 0.160606, 0.162630, 0.164641, 0.166641, 0.168629, 0.170606, 0.172572, 0.174526, 0.176470, 0.178403, 0.180325, 0.182236, 0.184136, 0.186027, 0.187907, 0.189777, 0.191636, 0.193486, 0.195326, 0.197156, 0.198976, 0.200787, 0.202588, 0.204380, 0.206162, 0.207935, 0.209700, 0.211455, 0.213201, 0.214938, 0.216666, 0.218386, 0.220097, 0.221800, 0.223494, 0.225180, 0.226857, 0.228526, 0.230187, 0.231840, 0.233485, 0.235121, 0.236750, 0.238372, 0.239985, 0.241591, 0.243189, 0.244779, 0.246362, 0.247938, 0.249506, 0.251067, 0.252621, 0.254167, 0.255707, 0.257239, 0.258764, 0.260283, 0.261794, 0.263299, 0.264797, 0.266288, 0.267772, 0.269250, 0.270722, 0.272186, 0.273645, 0.275097, 0.276542, 0.277981, 0.279414, 0.280841, 0.282262, 0.283676, 0.285085, 0.286487, 0.287883, 0.289274, 0.290659, 0.292037, 0.293410, 0.294777, 0.296139, 0.297495, 0.298845, 0.300189, 0.301528, 0.302862, 0.304190, 0.305513, 0.306830, 0.308142, 0.309449, 0.310750, 0.312046, 0.313337, 0.314623, 0.315903, 0.317179, 0.318449, 0.319715, 0.320975, 0.322231, 0.323481, 0.324727, 0.325968, 0.327204, 0.328436, 0.329662, 0.330884, 0.332102, 0.333314, 0.334522, 0.335726, 0.336924, 0.338119, 0.339309, 0.340494, 0.341675, 0.342852, 0.344024, 0.345192, 0.346355, 0.347515, 0.348670, 0.349821, 0.350967, 0.352110, 0.353248, 0.354382, 0.355512, 0.356639, 0.357761, 0.358879, 0.359993, 0.361103, 0.362209, 0.363311, 0.364410, 0.365504, 0.366595, 0.367682, 0.368765, 0.369844, 0.370920, 0.371992, 0.373060, 0.374125, 0.375186, 0.376243, 0.377297, 0.378347, 0.379393, 0.380436, 0.381476, 0.382512, 0.383545, 0.384574, 0.385600, 0.386622, 0.387641, 0.388657, 0.389669, 0.390678, 0.391683, 0.392686, 0.393685, 0.394681, 0.395674, 0.396663, 0.397649, 0.398632, 0.399612, 0.400589, 0.401563, 0.402534, 0.403501, 0.404466, 0.405427, 0.406386, 0.407341, 0.408294, 0.409243, 0.410190, 0.411133, 0.412074, 0.413012, 0.413947, 0.414879, 0.415808, 0.416735, 0.417658, 0.418579, 0.419497, 0.420412, 0.421325, 0.422234, 0.423142, 0.424046, 0.424947, 0.425846, 0.426743, 0.427636, 0.428527, 0.429416, 0.430302, 0.431185, 0.432065, 0.432943, 0.433819, 0.434692, 0.435562, 0.436430, 0.437296, 0.438159, 0.439019, 0.439877, 0.440733, 0.441586, 0.442437, 0.443285, 0.444131, 0.444975, 0.445816, 0.446493, 0.447329, 0.448163, 0.448994, 0.449823, 0.450650, 0.451474, 0.452297, 0.453116, 0.453934, 0.454749, 0.455562, 0.456373, 0.457182, 0.457988, 0.458793, 0.459595, 0.460395, 0.461192, 0.461988, 0.462781, 0.463572, 0.464362, 0.465149, 0.465934, 0.466716, 0.467497, 0.468276, 0.469053, 0.469827, 0.470600, 0.471370, 0.472139, 0.472905, 0.473670, 0.474432, 0.475193, 0.475952, 0.476708, 0.477463, 0.478216, 0.478967, 0.479716, 0.480463, 0.481208, 0.481951, 0.482692, 0.483432, 0.484169, 0.484905, 0.485639, 0.486371, 0.487101, 0.487830, 0.488556, 0.489281, 0.490004, 0.490726, 0.491445, 0.492163, 0.492879, 0.493593, 0.494306, 0.495016, 0.495725, 0.496433, 0.497138, 0.497842, 0.498544, 0.499245, 0.499944, 0.500641, 0.501337, 0.502030, 0.502723, 0.503413, 0.504102, 0.504790, 0.505475, 0.506159, 0.506842, 0.507523, 0.508202, 0.508880, 0.509556, 0.510231, 0.510904, 0.511575, 0.512245, 0.512914, 0.513581, 0.514246, 0.514910, 0.515572, 0.516233, 0.516893, 0.517551, 0.518207, 0.518862, 0.519515, 0.520167, 0.520818, 0.521467, 0.522115, 0.522761, 0.523405, 0.524049, 0.524691, 0.525331, 0.525970, 0.526608, 0.527244, 0.527879, 0.528513, 0.529145, 0.529776, 0.530405, 0.531033, 0.531660, 0.532285, 0.532909, 0.533532, 0.534153, 0.534773, 0.535392, 0.536009, 0.536625, 0.537240, 0.537853, 0.538465, 0.539076, 0.539361, 0.539968, 0.540575, 0.541180, 0.541783, 0.542386, 0.542987, 0.543587, 0.544186, 0.544783, 0.545379, 0.545974, 0.546568, 0.547160, 0.547751, 0.548341, 0.548930, 0.549517, 0.550103, 0.550688, 0.551272, 0.551855, 0.552436, 0.553016, 0.553595, 0.554173, 0.554749, 0.555325, 0.555899, 0.556472, 0.557044, 0.557615, 0.558184, 0.558753, 0.559320, 0.559886, 0.560451, 0.561015, 0.561578, 0.562140, 0.562700, 0.563259, 0.563818, 0.564375, 0.564931, 0.565486, 0.566040, 0.566593, 0.567144, 0.567695, 0.568244, 0.568793, 0.569340, 0.569887, 0.570432, 0.570976, 0.571519, 0.572061, 0.572602, 0.573142, 0.573681, 0.574219, 0.574756, 0.575292, 0.575827, 0.576361, 0.576894, 0.577425, 0.577956, 0.578486, 0.579015, 0.579543, 0.580069, 0.580595, 0.581120, 0.581644, 0.582167, 0.582689, 0.583210, 0.583730, 0.584249, 0.584767, 0.585284, 0.585800, 0.586315, 0.586829, 0.587342, 0.587855, 0.588366, 0.588877, 0.589386, 0.589895, 0.590402, 0.590909, 0.591415, 0.591920, 0.592424, 0.592927, 0.593429, 0.593930, 0.594431, 0.594930, 0.595429, 0.595926, 0.596423, 0.596919, 0.597414, 0.597908, 0.598402, 0.598894, 0.599386, 0.599876, 0.600366, 0.600855, 0.601343, 0.601830, 0.602317, 0.602802, 0.603287, 0.603771, 0.604254, 0.604736, 0.605217, 0.605697, 0.606177, 0.606656, 0.607134, 0.607611, 0.608087, 0.608563, 0.609038, 0.609511, 0.609985, 0.610457, 0.610928, 0.611399, 0.611869, 0.612338, 0.612806, 0.613274, 0.613740, 0.614206, 0.614671, 0.615136, 0.615599, 0.616062, 0.616524, 0.616985, 0.617446, 0.617905, 0.618364, 0.618822, 0.619280, 0.619736, 0.620192, 0.620647, 0.621102, 0.621555, 0.622008, 0.622460, 0.622912, 0.623362, 0.623812, 0.624261, 0.624710, 0.625157, 0.625604, 0.626051, 0.626496, 0.626941, 0.627385, 0.627828, 0.628271, 0.628713, 0.629154, 0.629594, 0.630034, 0.630473, 0.630911, 0.631349, 0.631786, 0.632222, 0.632658, 0.633093, 0.633527, 0.633960, 0.634393, 0.634825, 0.635257, 0.635687, 0.636117, 0.636547, 0.636975, 0.637403, 0.637831, 0.638257, 0.638683, 0.639109, 0.639533, 0.639957, 0.640381, 0.640803, 0.641225, 0.641647, 0.642067, 0.642487, 0.642907, 0.643326, 0.643744, 0.644161, 0.644578, 0.644994, 0.645410, 0.645824, 0.646239, 0.646652, 0.647065, 0.647477, 0.647889, 0.648300, 0.648711, 0.649120, 0.649530, 0.649938, 0.650346, 0.650753, 0.651160, 0.651566, 0.651972, 0.652377, 0.652781, 0.653184, 0.653587, 0.653990, 0.654392, 0.654793, 0.655193, 0.655593, 0.655993, 0.656392, 0.656790, 0.657187, 0.657584, 0.657981, 0.658377, 0.658772, 0.659167, 0.659561, 0.659954, 0.660347, 0.660739, 0.661131, 0.661522, 0.661913, 0.662303, 0.662692, 0.663081, 0.663469, 0.663857, 0.664244, 0.664631, 0.665017, 0.665402, 0.665787, 0.666171, 0.666555, 0.666938, 0.667321, 0.667703, 0.668085, 0.668466, 0.668846, 0.669226, 0.669605, 0.669984, 0.670362, 0.670740, 0.671117, 0.671494, 0.671870, 0.672245, 0.672620, 0.672995, 0.673368, 0.673742, 0.674115, 0.674487, 0.674859, 0.675230, 0.675601, 0.675971, 0.676340, 0.676709, 0.677078, 0.677446, 0.677814, 0.678181, 0.678547, 0.678913, 0.679279, 0.679643, 0.680008, 0.680372, 0.680735, 0.681098, 0.681460, 0.681822, 0.682184, 0.682544, 0.682905, 0.683265, 0.683624, 0.683983, 0.684341, 0.684699, 0.685056, 0.685413, 0.685769, 0.686125, 0.686481, 0.686835, 0.687190, 0.687544, 0.687897, 0.688250, 0.688602, 0.688954, 0.689305, 0.689656, 0.690007, 0.690357, 0.690706, 0.691055, 0.691404, 0.691752, 0.692099, 0.692446, 0.692793, 0.693139, 0.693485, 0.693830, 0.694175, 0.694519, 0.694863, 0.695206, 0.695549, 0.695891, 0.696233, 0.696574, 0.696915, 0.697256, 0.697596, 0.697935, 0.698274, 0.698613, 0.698951, 0.699289, 0.699626, 0.699963, 0.700299, 0.700635, 0.700971, 0.701306, 0.701640, 0.701974, 0.702308, 0.702641, 0.702974, 0.703306, 0.703638, 0.703969, 0.704300, 0.704631, 0.704961, 0.705291, 0.705620, 0.705949, 0.706277, 0.706605, 0.706932, 0.707259, 0.707586, 0.707912, 0.708238, 0.708563, 0.708888, 0.709212, 0.709536, 0.709859, 0.710183, 0.710505, 0.710828, 0.711149, 0.711471, 0.711792, 0.712112, 0.712432, 0.712752, 0.713071, 0.713390, 0.713709, 0.714027, 0.714344, 0.714661, 0.714978, 0.715295, 0.715611, 0.715926, 0.716241, 0.716556, 0.716870, 0.717184, 0.717497, 0.717811, 0.718123, 0.718435, 0.718747, 0.719059, 0.719370, 0.719680, 0.719991, 0.720300, 0.720610, 0.720919, 0.721227, 0.721536, 0.721843, 0.722151, 0.722458, 0.722764, 0.723071, 0.723376, 0.723682, 0.723987, 0.724291, 0.724596, 0.724899, 0.725203, 0.725506, 0.725809, 0.726111, 0.726413, 0.726714, 0.727015, 0.727316, 0.727616, 0.727916, 0.728216, 0.728515, 0.728814, 0.729112, 0.729410, 0.729708, 0.730005, 0.730302, 0.730599, 0.730895, 0.731191, 0.731486, 0.731781, 0.732076, 0.732370, 0.732664, 0.732957, 0.733250, 0.733543, 0.733835, 0.734127, 0.734419, 0.734710, 0.735001, 0.735292, 0.735582, 0.735872, 0.736161, 0.736450, 0.736739, 0.737027, 0.737315, 0.737603, 0.737890, 0.738177, 0.738463, 0.738750, 0.739035, 0.739321, 0.739606, 0.739891, 0.740175, 0.740459, 0.740743, 0.741026, 0.741309, 0.741591, 0.741874, 0.742155, 0.742437, 0.742718, 0.742999, 0.743279, 0.743559, 0.743839, 0.744119, 0.744398, 0.744676, 0.744955, 0.745233, 0.745510, 0.745788, 0.746065, 0.746341, 0.746618, 0.746893, 0.747169, 0.747444, 0.747719, 0.747994, 0.748268, 0.748542, 0.748815, 0.749089, 0.749361, 0.749634, 0.749906, 0.750178, 0.750450, 0.750721, 0.750992, 0.751262, 0.751532, 0.751802, 0.752072, 0.752341, 0.752610, 0.752878, 0.753146, 0.753414, 0.753682, 0.753949, 0.754216, 0.754482, 0.754748, 0.755014, 0.755280, 0.755545, 0.755810, 0.756074, 0.756339, 0.756603, 0.756866, 0.757129, 0.757392, 0.757655, 0.757917, 0.758179, 0.758441, 0.758702, 0.758963, 0.759224, 0.759484, 0.759744, 0.760004, 0.760264, 0.760523, 0.760781, 0.761040, 0.761298, 0.761556, 0.761813, 0.762071, 0.762328, 0.762584, 0.762840, 0.763096, 0.763352, 0.763607, 0.763862, 0.764117, 0.764371, 0.764626, 0.764879
136 };
137 
138 double MI_map_16qam_axis[MI_MAP_16QAM_SIZE] = {
139  0.063000, 0.073000, 0.083000, 0.093000, 0.103000, 0.113000, 0.123000, 0.133000, 0.143000, 0.153000, 0.163000, 0.173000, 0.183000, 0.193000, 0.203000, 0.213000, 0.223000, 0.233000, 0.243000, 0.253000, 0.263000, 0.273000, 0.283000, 0.293000, 0.303000, 0.313000, 0.323000, 0.333000, 0.343000, 0.353000, 0.363000, 0.373000, 0.383000, 0.393000, 0.403000, 0.413000, 0.423000, 0.433000, 0.443000, 0.453000, 0.463000, 0.473000, 0.483000, 0.493000, 0.503000, 0.513000, 0.523000, 0.533000, 0.543000, 0.553000, 0.563000, 0.573000, 0.583000, 0.593000, 0.603000, 0.613000, 0.623000, 0.633000, 0.643000, 0.653000, 0.663000, 0.673000, 0.683000, 0.693000, 0.703000, 0.713000, 0.723000, 0.733000, 0.743000, 0.753000, 0.763000, 0.773000, 0.783000, 0.793000, 0.803000, 0.813000, 0.823000, 0.833000, 0.843000, 0.853000, 0.863000, 0.873000, 0.883000, 0.893000, 0.903000, 0.913000, 0.923000, 0.933000, 0.943000, 0.953000, 0.963000, 0.973000, 0.983000, 0.993000, 1.003000, 1.013000, 1.023000, 1.033000, 1.043000, 1.053000, 1.063000, 1.073000, 1.083000, 1.093000, 1.103000, 1.113000, 1.123000, 1.133000, 1.143000, 1.153000, 1.163000, 1.173000, 1.183000, 1.193000, 1.203000, 1.213000, 1.223000, 1.233000, 1.243000, 1.253000, 1.263000, 1.273000, 1.283000, 1.293000, 1.303000, 1.313000, 1.323000, 1.333000, 1.343000, 1.353000, 1.363000, 1.373000, 1.383000, 1.393000, 1.403000, 1.413000, 1.423000, 1.433000, 1.443000, 1.453000, 1.463000, 1.473000, 1.483000, 1.493000, 1.503000, 1.513000, 1.523000, 1.533000, 1.543000, 1.553000, 1.563000, 1.573000, 1.583000, 1.593000, 1.603000, 1.613000, 1.623000, 1.633000, 1.643000, 1.653000, 1.663000, 1.673000, 1.683000, 1.693000, 1.703000, 1.713000, 1.723000, 1.733000, 1.743000, 1.753000, 1.763000, 1.773000, 1.783000, 1.793000, 1.803000, 1.813000, 1.823000, 1.833000, 1.843000, 1.853000, 1.863000, 1.873000, 1.883000, 1.893000, 1.903000, 1.913000, 1.923000, 1.933000, 1.943000, 1.953000, 1.963000, 1.973000, 1.983000, 1.993000, 2.003000, 2.013000, 2.023000, 2.033000, 2.043000, 2.053000, 2.063000, 2.073000, 2.083000, 2.093000, 2.103000, 2.113000, 2.123000, 2.133000, 2.143000, 2.153000, 2.163000, 2.173000, 2.183000, 2.193000, 2.203000, 2.213000, 2.223000, 2.233000, 2.243000, 2.253000, 2.263000, 2.273000, 2.283000, 2.293000, 2.303000, 2.313000, 2.323000, 2.333000, 2.343000, 2.353000, 2.363000, 2.373000, 2.383000, 2.393000, 2.403000, 2.413000, 2.423000, 2.433000, 2.443000, 2.453000, 2.463000, 2.473000, 2.483000, 2.493000, 2.503000, 2.513000, 2.523000, 2.533000, 2.543000, 2.553000, 2.563000, 2.573000, 2.583000, 2.593000, 2.603000, 2.613000, 2.623000, 2.633000, 2.643000, 2.653000, 2.663000, 2.673000, 2.683000, 2.693000, 2.703000, 2.713000, 2.723000, 2.733000, 2.743000, 2.753000, 2.763000, 2.773000, 2.783000, 2.793000, 2.803000, 2.813000, 2.823000, 2.833000, 2.843000, 2.853000, 2.863000, 2.873000, 2.883000, 2.893000, 2.903000, 2.913000, 2.923000, 2.933000, 2.943000, 2.953000, 2.963000, 2.973000, 2.983000, 2.993000, 3.003000, 3.013000, 3.023000, 3.033000, 3.043000, 3.053000, 3.063000, 3.073000, 3.083000, 3.093000, 3.103000, 3.113000, 3.123000, 3.133000, 3.143000, 3.153000, 3.163000, 3.173000, 3.183000, 3.193000, 3.203000, 3.213000, 3.223000, 3.233000, 3.243000, 3.253000, 3.263000, 3.273000, 3.283000, 3.293000, 3.303000, 3.313000, 3.323000, 3.333000, 3.343000, 3.353000, 3.363000, 3.373000, 3.383000, 3.393000, 3.403000, 3.413000, 3.423000, 3.433000, 3.443000, 3.453000, 3.463000, 3.473000, 3.483000, 3.493000, 3.503000, 3.513000, 3.523000, 3.533000, 3.543000, 3.553000, 3.563000, 3.573000, 3.583000, 3.593000, 3.603000, 3.613000, 3.623000, 3.633000, 3.643000, 3.653000, 3.663000, 3.673000, 3.683000, 3.693000, 3.703000, 3.713000, 3.723000, 3.733000, 3.743000, 3.753000, 3.763000, 3.773000, 3.783000, 3.793000, 3.803000, 3.813000, 3.823000, 3.833000, 3.843000, 3.853000, 3.863000, 3.873000, 3.883000, 3.893000, 3.903000, 3.913000, 3.923000, 3.933000, 3.943000, 3.953000, 3.963000, 3.973000, 3.983000, 3.993000, 4.003000, 4.013000, 4.023000, 4.033000, 4.043000, 4.053000, 4.063000, 4.073000, 4.083000, 4.093000, 4.103000, 4.113000, 4.123000, 4.133000, 4.143000, 4.153000, 4.163000, 4.173000, 4.183000, 4.193000, 4.203000, 4.213000, 4.223000, 4.233000, 4.243000, 4.253000, 4.263000, 4.273000, 4.283000, 4.293000, 4.303000, 4.313000, 4.323000, 4.333000, 4.343000, 4.353000, 4.363000, 4.373000, 4.383000, 4.393000, 4.403000, 4.413000, 4.423000, 4.433000, 4.443000, 4.453000, 4.463000, 4.473000, 4.483000, 4.493000, 4.503000, 4.513000, 4.523000, 4.533000, 4.543000, 4.553000, 4.563000, 4.573000, 4.583000, 4.593000, 4.603000, 4.613000, 4.623000, 4.633000, 4.643000, 4.653000, 4.663000, 4.673000, 4.683000, 4.693000, 4.703000, 4.713000, 4.723000, 4.733000, 4.743000, 4.753000, 4.763000, 4.773000, 4.783000, 4.793000, 4.803000, 4.813000, 4.823000, 4.833000, 4.843000, 4.853000, 4.863000, 4.873000, 4.883000, 4.893000, 4.903000, 4.913000, 4.923000, 4.933000, 4.943000, 4.953000, 4.963000, 4.973000, 4.983000, 4.993000, 5.003000, 5.013000, 5.023000, 5.033000, 5.043000, 5.053000, 5.063000, 5.073000, 5.083000, 5.093000, 5.103000, 5.113000, 5.123000, 5.133000, 5.143000, 5.153000, 5.163000, 5.173000, 5.183000, 5.193000, 5.203000, 5.213000, 5.223000, 5.233000, 5.243000, 5.253000, 5.263000, 5.273000, 5.283000, 5.293000, 5.303000, 5.313000, 5.323000, 5.333000, 5.343000, 5.353000, 5.363000, 5.373000, 5.383000, 5.393000, 5.403000, 5.413000, 5.423000, 5.433000, 5.443000, 5.453000, 5.463000, 5.473000, 5.483000, 5.493000, 5.503000, 5.513000, 5.523000, 5.533000, 5.543000, 5.553000, 5.563000, 5.573000, 5.583000, 5.593000, 5.603000, 5.613000, 5.623000, 5.633000, 5.643000, 5.653000, 5.663000, 5.673000, 5.683000, 5.693000, 5.703000, 5.713000, 5.723000, 5.733000, 5.743000, 5.753000, 5.763000, 5.773000, 5.783000, 5.793000, 5.803000, 5.813000, 5.823000, 5.833000, 5.843000, 5.853000, 5.863000, 5.873000, 5.883000, 5.893000, 5.903000, 5.913000, 5.923000, 5.933000, 5.943000, 5.953000, 5.963000, 5.973000, 5.983000, 5.993000, 6.003000, 6.013000, 6.023000, 6.033000, 6.043000, 6.053000, 6.063000, 6.073000, 6.083000, 6.093000, 6.103000, 6.113000, 6.123000, 6.133000, 6.143000, 6.153000, 6.163000, 6.173000, 6.183000, 6.193000, 6.203000, 6.213000, 6.223000, 6.233000, 6.243000, 6.253000, 6.263000, 6.273000, 6.283000, 6.293000, 6.303000, 6.313000, 6.323000, 6.333000, 6.343000, 6.353000, 6.363000, 6.373000, 6.383000, 6.393000, 6.403000, 6.413000, 6.423000, 6.433000, 6.443000, 6.453000, 6.463000, 6.473000, 6.483000, 6.493000, 6.503000, 6.513000, 6.523000, 6.533000, 6.543000, 6.553000, 6.563000, 6.573000, 6.583000, 6.593000, 6.603000, 6.613000, 6.623000, 6.633000, 6.643000, 6.653000, 6.663000, 6.673000, 6.683000, 6.693000, 6.703000, 6.713000, 6.723000, 6.733000, 6.743000, 6.753000, 6.763000, 6.773000, 6.783000, 6.793000, 6.803000, 6.813000, 6.823000, 6.833000, 6.843000, 6.853000, 6.863000, 6.873000, 6.883000, 6.893000, 6.903000, 6.913000, 6.923000, 6.933000, 6.943000, 6.953000, 6.963000, 6.973000, 6.983000, 6.993000, 7.003000, 7.013000, 7.023000, 7.033000, 7.043000, 7.053000, 7.063000, 7.073000, 7.083000, 7.093000, 7.103000, 7.113000, 7.123000, 7.133000, 7.143000, 7.153000, 7.163000, 7.173000, 7.183000, 7.193000, 7.203000, 7.213000, 7.223000, 7.233000, 7.243000, 7.253000, 7.263000, 7.273000, 7.283000, 7.293000, 7.303000, 7.313000, 7.323000, 7.333000, 7.343000, 7.353000, 7.363000, 7.373000, 7.383000, 7.393000, 7.403000, 7.413000, 7.423000, 7.433000, 7.443000, 7.453000, 7.463000, 7.473000, 7.483000, 7.493000, 7.503000, 7.513000, 7.523000, 7.533000, 7.543000, 7.553000, 7.563000, 7.573000, 7.583000, 7.593000, 7.603000, 7.613000, 7.623000, 7.633000, 7.643000, 7.653000, 7.663000, 7.673000, 7.683000, 7.693000, 7.703000, 7.713000, 7.723000, 7.733000, 7.743000, 7.753000, 7.763000, 7.773000, 7.783000, 7.793000, 7.803000, 7.813000, 7.823000, 7.833000, 7.843000, 7.853000, 7.863000, 7.873000, 7.883000, 7.893000, 7.903000, 7.913000, 7.923000, 7.933000, 7.943000, 7.953000, 7.963000, 7.973000, 7.983000, 7.993000, 8.003000, 8.013000, 8.023000, 8.033000, 8.043000, 8.053000, 8.063000, 8.073000, 8.083000, 8.093000, 8.103000, 8.113000, 8.123000, 8.133000, 8.143000, 8.153000, 8.163000, 8.173000, 8.183000, 8.193000, 8.203000, 8.213000, 8.223000, 8.233000, 8.243000, 8.253000, 8.263000, 8.273000, 8.283000, 8.293000, 8.303000, 8.313000, 8.323000, 8.333000, 8.343000, 8.353000, 8.363000, 8.373000, 8.383000, 8.393000, 8.403000, 8.413000, 8.423000, 8.433000, 8.443000, 8.453000, 8.463000, 8.473000, 8.483000, 8.493000, 8.503000, 8.513000, 8.523000, 8.533000, 8.543000, 8.553000, 8.563000, 8.573000, 8.583000, 8.593000, 8.603000, 8.613000, 8.623000, 8.633000, 8.643000, 8.653000, 8.663000, 8.673000, 8.683000, 8.693000, 8.703000, 8.713000, 8.723000, 8.733000, 8.743000, 8.753000, 8.763000, 8.773000, 8.783000, 8.793000, 8.803000, 8.813000, 8.823000, 8.833000, 8.843000, 8.853000, 8.863000, 8.873000, 8.883000, 8.893000, 8.903000, 8.913000, 8.923000, 8.933000, 8.943000, 8.953000, 8.963000, 8.973000, 8.983000, 8.993000, 9.003000, 9.013000, 9.023000, 9.033000, 9.043000, 9.053000, 9.063000, 9.073000, 9.083000, 9.093000, 9.103000, 9.113000, 9.123000, 9.133000, 9.143000, 9.153000, 9.163000, 9.173000, 9.183000, 9.193000, 9.203000, 9.213000, 9.223000, 9.233000, 9.243000, 9.253000, 9.263000, 9.273000, 9.283000, 9.293000, 9.303000, 9.313000, 9.323000, 9.333000, 9.343000, 9.353000, 9.363000, 9.373000, 9.383000, 9.393000, 9.403000, 9.413000, 9.423000, 9.433000, 9.443000, 9.453000, 9.463000, 9.473000, 9.483000, 9.493000, 9.503000, 9.513000, 9.523000, 9.533000, 9.543000, 9.553000, 9.563000, 9.573000, 9.583000, 9.593000, 9.603000, 9.613000, 9.623000, 9.633000, 9.643000, 9.653000, 9.663000, 9.673000, 9.683000, 9.693000, 9.703000, 9.713000, 9.723000, 9.733000, 9.743000, 9.753000, 9.763000, 9.773000, 9.783000, 9.793000, 9.803000, 9.813000, 9.823000, 9.833000, 9.843000, 9.853000, 9.863000, 9.873000, 9.883000, 9.893000, 9.903000, 9.913000, 9.923000, 9.933000, 9.943000, 9.953000, 9.963000, 9.973000, 9.983000, 9.993000
140 };
141 
142 
143 double MI_map_64qam[MI_MAP_64QAM_SIZE] = {
144  0.036455, 0.064415, 0.090225, 0.114215, 0.136597, 0.157298, 0.176808, 0.195063, 0.212193, 0.228310, 0.243505, 0.257860, 0.271445, 0.284323, 0.296550, 0.308175, 0.319243, 0.329796, 0.339870, 0.349499, 0.358715, 0.367545, 0.376015, 0.384150, 0.391971, 0.399498, 0.406751, 0.413746, 0.420499, 0.427026, 0.433340, 0.439453, 0.445378, 0.451125, 0.456705, 0.462127, 0.467400, 0.472532, 0.477531, 0.482404, 0.487157, 0.491797, 0.496330, 0.500760, 0.505094, 0.509116, 0.513264, 0.517327, 0.521309, 0.525213, 0.529043, 0.532803, 0.536495, 0.540123, 0.543689, 0.547196, 0.550646, 0.554041, 0.557385, 0.560678, 0.563922, 0.567120, 0.570273, 0.573383, 0.576451, 0.579478, 0.582467, 0.585418, 0.588332, 0.591211, 0.594055, 0.596866, 0.599644, 0.602392, 0.605108, 0.607795, 0.610453, 0.613082, 0.615684, 0.618259, 0.620808, 0.623331, 0.625829, 0.628303, 0.630753, 0.633179, 0.635582, 0.637963, 0.640321, 0.642658, 0.644974, 0.647269, 0.649543, 0.651797, 0.653815, 0.656029, 0.658222, 0.660396, 0.662552, 0.664689, 0.666807, 0.668908, 0.670990, 0.673056, 0.675104, 0.677135, 0.679149, 0.681147, 0.683128, 0.685094, 0.687044, 0.688978, 0.690896, 0.692799, 0.694688, 0.696561, 0.698420, 0.700264, 0.702094, 0.703909, 0.705711, 0.707499, 0.709273, 0.711033, 0.712781, 0.714515, 0.716235, 0.717943, 0.719638, 0.721321, 0.722991, 0.724648, 0.726293, 0.727926, 0.729547, 0.731156, 0.732753, 0.734339, 0.735913, 0.737475, 0.739026, 0.740566, 0.742095, 0.743613, 0.745120, 0.746616, 0.748101, 0.749576, 0.751040, 0.752494, 0.753937, 0.755371, 0.756794, 0.758207, 0.759610, 0.761003, 0.762387, 0.763761, 0.765125, 0.766479, 0.767825, 0.769160, 0.770487, 0.771805, 0.773113, 0.774412, 0.775702, 0.776984, 0.778257, 0.779521, 0.780776, 0.782022, 0.783261, 0.784490, 0.785712, 0.786925, 0.788130, 0.789327, 0.790515, 0.791696, 0.792868, 0.794033, 0.795190, 0.796339, 0.797481, 0.798615, 0.799741, 0.800860, 0.801971, 0.803075, 0.804172, 0.805261, 0.806343, 0.807418, 0.808486, 0.809547, 0.810601, 0.811647, 0.812687, 0.813721, 0.814747, 0.815767, 0.816780, 0.817786, 0.818786, 0.819780, 0.820767, 0.821747, 0.822722, 0.823689, 0.824651, 0.825607, 0.826556, 0.827499, 0.828436, 0.829367, 0.830292, 0.831212, 0.832125, 0.833032, 0.833934, 0.834830, 0.835720, 0.836605, 0.837484, 0.838357, 0.839225, 0.840088, 0.840945, 0.841796, 0.842642, 0.843483, 0.844319, 0.845149, 0.845974, 0.846794, 0.847609, 0.848419, 0.849223, 0.850023, 0.850818, 0.851608, 0.852392, 0.853172, 0.853947, 0.854718, 0.855483, 0.856244, 0.857000, 0.857752, 0.858499, 0.859241, 0.859979, 0.860712, 0.861441, 0.862165, 0.862885, 0.863600, 0.864311, 0.865018, 0.865720, 0.866418, 0.867112, 0.867802, 0.868488, 0.869169, 0.869846, 0.870519, 0.871188, 0.871854, 0.872515, 0.873172, 0.873825, 0.874474, 0.875120, 0.875761, 0.876399, 0.877033, 0.877663, 0.878289, 0.878911, 0.879530, 0.880146, 0.880757, 0.881365, 0.881969, 0.882570, 0.883167, 0.883761, 0.884351, 0.884938, 0.885521, 0.886101, 0.886677, 0.887250, 0.887820, 0.888387, 0.888950, 0.889509, 0.890066, 0.890619, 0.891169, 0.891716, 0.892259, 0.892800, 0.893337, 0.893872, 0.894403, 0.894931, 0.895456, 0.895978, 0.896497, 0.897013, 0.897526, 0.898036, 0.898543, 0.899047, 0.899549, 0.900047, 0.900543, 0.901036, 0.901526, 0.902013, 0.902497, 0.902979, 0.903458, 0.903934, 0.904407, 0.904878, 0.905346, 0.905812, 0.906275, 0.906735, 0.907193, 0.907648, 0.908100, 0.908550, 0.908998, 0.909443, 0.909885, 0.910325, 0.910762, 0.911198, 0.911630, 0.912060, 0.912488, 0.912914, 0.913337, 0.913757, 0.914176, 0.914592, 0.915005, 0.915417, 0.915826, 0.916233, 0.916638, 0.917040, 0.917440, 0.917838, 0.918234, 0.918628, 0.919019, 0.919408, 0.919796, 0.920181, 0.920564, 0.920944, 0.921323, 0.921700, 0.922075, 0.922447, 0.922818, 0.923186, 0.923553, 0.923917, 0.924280, 0.924641, 0.924999, 0.925356, 0.925711, 0.926064, 0.926415, 0.926764, 0.927111, 0.927456, 0.927800, 0.928141, 0.928481, 0.928819, 0.929155, 0.929490, 0.929822, 0.930153, 0.930482, 0.930809, 0.931135, 0.931459, 0.931781, 0.932101, 0.932420, 0.932737, 0.933052, 0.933365, 0.933677, 0.933988, 0.934296, 0.934603, 0.934909, 0.935213, 0.935515, 0.935815, 0.936114, 0.936412, 0.936708, 0.937002, 0.937295, 0.937586, 0.937876, 0.938164, 0.938451, 0.938736, 0.939020, 0.939302, 0.939583, 0.939862, 0.940140, 0.940416, 0.940691, 0.940965, 0.941237, 0.941507, 0.941777, 0.942045, 0.942311, 0.942576, 0.942840, 0.943103, 0.943364, 0.943623, 0.943882, 0.944139, 0.944395, 0.944649, 0.944902, 0.945154, 0.945405, 0.945654, 0.945902, 0.946149, 0.946394, 0.946638, 0.946881, 0.947123, 0.947363, 0.947603, 0.947841, 0.948078, 0.948313, 0.948548, 0.948781, 0.949013, 0.949244, 0.949474, 0.949702, 0.949930, 0.950156, 0.950381, 0.950605, 0.950828, 0.951050, 0.951270, 0.951490, 0.951708, 0.951926, 0.952142, 0.952357, 0.952571, 0.952784, 0.952996, 0.953207, 0.953417, 0.953626, 0.953833, 0.954040, 0.954246, 0.954451, 0.954654, 0.954857, 0.955059, 0.955259, 0.955459, 0.955657, 0.955855, 0.956052, 0.956248, 0.956442, 0.956636, 0.956829, 0.957021, 0.957212, 0.957402, 0.957591, 0.957779, 0.957966, 0.958153, 0.958338, 0.958522, 0.958706, 0.958889, 0.959071, 0.959251, 0.959431, 0.959611, 0.959789, 0.959966, 0.960143, 0.960318, 0.960493, 0.960667, 0.960840, 0.961013, 0.961184, 0.961355, 0.961524, 0.961693, 0.961862, 0.962029, 0.962195, 0.962361, 0.962526, 0.962690, 0.962854, 0.963016, 0.963178, 0.963339, 0.963499, 0.963659, 0.963817, 0.963975, 0.964132, 0.964289, 0.964444, 0.964599, 0.964754, 0.964907, 0.965060, 0.965212, 0.965363, 0.965513, 0.965663, 0.965812, 0.965961, 0.966108, 0.966255, 0.966402, 0.966547, 0.966692, 0.966836, 0.966980, 0.967123, 0.967265, 0.967407, 0.967547, 0.967688, 0.967827, 0.967966, 0.968104, 0.968242, 0.968379, 0.968515, 0.968650, 0.968785, 0.968920, 0.969053, 0.969186, 0.969319, 0.969451, 0.969582, 0.969713, 0.969843, 0.969972, 0.970101, 0.970229, 0.970356, 0.970483, 0.970610, 0.970736, 0.970861, 0.970985, 0.971110, 0.971233, 0.971356, 0.971478, 0.971600, 0.971721, 0.971842, 0.971962, 0.972081, 0.972200, 0.972319, 0.972437, 0.972554, 0.972671, 0.972787, 0.972903, 0.973018, 0.973133, 0.973247, 0.973360, 0.973473, 0.973586, 0.973698, 0.973809, 0.973920, 0.974031, 0.974141, 0.974250, 0.974359, 0.974468, 0.974576, 0.974683, 0.974790, 0.974897, 0.975003, 0.975108, 0.975213, 0.975318, 0.975422, 0.975526, 0.975629, 0.975731, 0.975834, 0.975935, 0.976037, 0.976138, 0.976238, 0.976338, 0.976437, 0.976536, 0.976635, 0.976733, 0.976831, 0.976928, 0.977025, 0.977121, 0.977217, 0.977312, 0.977407, 0.977502, 0.977596, 0.977690, 0.977783, 0.977876, 0.977969, 0.978061, 0.978153, 0.978244, 0.978335, 0.978425, 0.978515, 0.978605, 0.978694, 0.978783, 0.978871, 0.978959, 0.979047, 0.979134, 0.979221, 0.979308, 0.979394, 0.979479, 0.979565, 0.979650, 0.979734, 0.979818, 0.979902, 0.979986, 0.980069, 0.980151, 0.980234, 0.980316, 0.980397, 0.980479, 0.980560, 0.980640, 0.980720, 0.980800, 0.980879, 0.980959, 0.981037, 0.981116, 0.981194, 0.981271, 0.981349, 0.981426, 0.981503, 0.981579, 0.981655, 0.981731, 0.981806, 0.981881, 0.981956, 0.982030, 0.982104, 0.982178, 0.982251, 0.982324, 0.982397, 0.982469, 0.982541, 0.982613, 0.982685, 0.982756, 0.982827, 0.982897, 0.982967, 0.983037, 0.983107, 0.983176, 0.983245, 0.983314, 0.983382, 0.983450, 0.983518, 0.983586, 0.983653, 0.983720, 0.983786, 0.983853, 0.983919, 0.983985, 0.984050, 0.984115, 0.984180, 0.984245, 0.984309, 0.984373, 0.984437, 0.984500, 0.984564, 0.984627, 0.984689, 0.984752, 0.984814, 0.984876, 0.984937, 0.984999, 0.985060, 0.985121, 0.985181, 0.985242, 0.985302
145 };
146 
147 double MI_map_64qam_axis[MI_MAP_64QAM_SIZE] = {
148  0.250000, 0.460000, 0.670000, 0.880000, 1.090000, 1.300000, 1.510000, 1.720000, 1.930000, 2.140000, 2.350000, 2.560000, 2.770000, 2.980000, 3.190000, 3.400000, 3.610000, 3.820000, 4.030000, 4.240000, 4.450000, 4.660000, 4.870000, 5.080000, 5.290000, 5.500000, 5.710000, 5.920000, 6.130000, 6.340000, 6.550000, 6.760000, 6.970000, 7.180000, 7.390000, 7.600000, 7.810000, 8.020000, 8.230000, 8.440000, 8.650000, 8.860000, 9.070000, 9.280000, 9.490000, 9.700000, 9.910000, 10.120000, 10.330000, 10.540000, 10.750000, 10.960000, 11.170000, 11.380000, 11.590000, 11.800000, 12.010000, 12.220000, 12.430000, 12.640000, 12.850000, 13.060000, 13.270000, 13.480000, 13.690000, 13.900000, 14.110000, 14.320000, 14.530000, 14.740000, 14.950000, 15.160000, 15.370000, 15.580000, 15.790000, 16.000000, 16.210000, 16.420000, 16.630000, 16.840000, 17.050000, 17.260000, 17.470000, 17.680000, 17.890000, 18.100000, 18.310000, 18.520000, 18.730000, 18.940000, 19.150000, 19.360000, 19.570000, 19.780000, 19.990000, 20.200000, 20.410000, 20.620000, 20.830000, 21.040000, 21.250000, 21.460000, 21.670000, 21.880000, 22.090000, 22.300000, 22.510000, 22.720000, 22.930000, 23.140000, 23.350000, 23.560000, 23.770000, 23.980000, 24.190000, 24.400000, 24.610000, 24.820000, 25.030000, 25.240000, 25.450000, 25.660000, 25.870000, 26.080000, 26.290000, 26.500000, 26.710000, 26.920000, 27.130000, 27.340000, 27.550000, 27.760000, 27.970000, 28.180000, 28.390000, 28.600000, 28.810000, 29.020000, 29.230000, 29.440000, 29.650000, 29.860000, 30.070000, 30.280000, 30.490000, 30.700000, 30.910000, 31.120000, 31.330000, 31.540000, 31.750000, 31.960000, 32.170000, 32.380000, 32.590000, 32.800000, 33.010000, 33.220000, 33.430000, 33.640000, 33.850000, 34.060000, 34.270000, 34.480000, 34.690000, 34.900000, 35.110000, 35.320000, 35.530000, 35.740000, 35.950000, 36.160000, 36.370000, 36.580000, 36.790000, 37.000000, 37.210000, 37.420000, 37.630000, 37.840000, 38.050000, 38.260000, 38.470000, 38.680000, 38.890000, 39.100000, 39.310000, 39.520000, 39.730000, 39.940000, 40.150000, 40.360000, 40.570000, 40.780000, 40.990000, 41.200000, 41.410000, 41.620000, 41.830000, 42.040000, 42.250000, 42.460000, 42.670000, 42.880000, 43.090000, 43.300000, 43.510000, 43.720000, 43.930000, 44.140000, 44.350000, 44.560000, 44.770000, 44.980000, 45.190000, 45.400000, 45.610000, 45.820000, 46.030000, 46.240000, 46.450000, 46.660000, 46.870000, 47.080000, 47.290000, 47.500000, 47.710000, 47.920000, 48.130000, 48.340000, 48.550000, 48.760000, 48.970000, 49.180000, 49.390000, 49.600000, 49.810000, 50.020000, 50.230000, 50.440000, 50.650000, 50.860000, 51.070000, 51.280000, 51.490000, 51.700000, 51.910000, 52.120000, 52.330000, 52.540000, 52.750000, 52.960000, 53.170000, 53.380000, 53.590000, 53.800000, 54.010000, 54.220000, 54.430000, 54.640000, 54.850000, 55.060000, 55.270000, 55.480000, 55.690000, 55.900000, 56.110000, 56.320000, 56.530000, 56.740000, 56.950000, 57.160000, 57.370000, 57.580000, 57.790000, 58.000000, 58.210000, 58.420000, 58.630000, 58.840000, 59.050000, 59.260000, 59.470000, 59.680000, 59.890000, 60.100000, 60.310000, 60.520000, 60.730000, 60.940000, 61.150000, 61.360000, 61.570000, 61.780000, 61.990000, 62.200000, 62.410000, 62.620000, 62.830000, 63.040000, 63.250000, 63.460000, 63.670000, 63.880000, 64.090000, 64.300000, 64.510000, 64.720000, 64.930000, 65.140000, 65.350000, 65.560000, 65.770000, 65.980000, 66.190000, 66.400000, 66.610000, 66.820000, 67.030000, 67.240000, 67.450000, 67.660000, 67.870000, 68.080000, 68.290000, 68.500000, 68.710000, 68.920000, 69.130000, 69.340000, 69.550000, 69.760000, 69.970000, 70.180000, 70.390000, 70.600000, 70.810000, 71.020000, 71.230000, 71.440000, 71.650000, 71.860000, 72.070000, 72.280000, 72.490000, 72.700000, 72.910000, 73.120000, 73.330000, 73.540000, 73.750000, 73.960000, 74.170000, 74.380000, 74.590000, 74.800000, 75.010000, 75.220000, 75.430000, 75.640000, 75.850000, 76.060000, 76.270000, 76.480000, 76.690000, 76.900000, 77.110000, 77.320000, 77.530000, 77.740000, 77.950000, 78.160000, 78.370000, 78.580000, 78.790000, 79.000000, 79.210000, 79.420000, 79.630000, 79.840000, 80.050000, 80.260000, 80.470000, 80.680000, 80.890000, 81.100000, 81.310000, 81.520000, 81.730000, 81.940000, 82.150000, 82.360000, 82.570000, 82.780000, 82.990000, 83.200000, 83.410000, 83.620000, 83.830000, 84.040000, 84.250000, 84.460000, 84.670000, 84.880000, 85.090000, 85.300000, 85.510000, 85.720000, 85.930000, 86.140000, 86.350000, 86.560000, 86.770000, 86.980000, 87.190000, 87.400000, 87.610000, 87.820000, 88.030000, 88.240000, 88.450000, 88.660000, 88.870000, 89.080000, 89.290000, 89.500000, 89.710000, 89.920000, 90.130000, 90.340000, 90.550000, 90.760000, 90.970000, 91.180000, 91.390000, 91.600000, 91.810000, 92.020000, 92.230000, 92.440000, 92.650000, 92.860000, 93.070000, 93.280000, 93.490000, 93.700000, 93.910000, 94.120000, 94.330000, 94.540000, 94.750000, 94.960000, 95.170000, 95.380000, 95.590000, 95.800000, 96.010000, 96.220000, 96.430000, 96.640000, 96.850000, 97.060000, 97.270000, 97.480000, 97.690000, 97.900000, 98.110000, 98.320000, 98.530000, 98.740000, 98.950000, 99.160000, 99.370000, 99.580000, 99.790000, 100.000000, 100.210000, 100.420000, 100.630000, 100.840000, 101.050000, 101.260000, 101.470000, 101.680000, 101.890000, 102.100000, 102.310000, 102.520000, 102.730000, 102.940000, 103.150000, 103.360000, 103.570000, 103.780000, 103.990000, 104.200000, 104.410000, 104.620000, 104.830000, 105.040000, 105.250000, 105.460000, 105.670000, 105.880000, 106.090000, 106.300000, 106.510000, 106.720000, 106.930000, 107.140000, 107.350000, 107.560000, 107.770000, 107.980000, 108.190000, 108.400000, 108.610000, 108.820000, 109.030000, 109.240000, 109.450000, 109.660000, 109.870000, 110.080000, 110.290000, 110.500000, 110.710000, 110.920000, 111.130000, 111.340000, 111.550000, 111.760000, 111.970000, 112.180000, 112.390000, 112.600000, 112.810000, 113.020000, 113.230000, 113.440000, 113.650000, 113.860000, 114.070000, 114.280000, 114.490000, 114.700000, 114.910000, 115.120000, 115.330000, 115.540000, 115.750000, 115.960000, 116.170000, 116.380000, 116.590000, 116.800000, 117.010000, 117.220000, 117.430000, 117.640000, 117.850000, 118.060000, 118.270000, 118.480000, 118.690000, 118.900000, 119.110000, 119.320000, 119.530000, 119.740000, 119.950000, 120.160000, 120.370000, 120.580000, 120.790000, 121.000000, 121.210000, 121.420000, 121.630000, 121.840000, 122.050000, 122.260000, 122.470000, 122.680000, 122.890000, 123.100000, 123.310000, 123.520000, 123.730000, 123.940000, 124.150000, 124.360000, 124.570000, 124.780000, 124.990000, 125.200000, 125.410000, 125.620000, 125.830000, 126.040000, 126.250000, 126.460000, 126.670000, 126.880000, 127.090000, 127.300000, 127.510000, 127.720000, 127.930000, 128.140000, 128.350000, 128.560000, 128.770000, 128.980000, 129.190000, 129.400000, 129.610000, 129.820000, 130.030000, 130.240000, 130.450000, 130.660000, 130.870000, 131.080000, 131.290000, 131.500000, 131.710000, 131.920000, 132.130000, 132.340000, 132.550000, 132.760000, 132.970000, 133.180000, 133.390000, 133.600000, 133.810000, 134.020000, 134.230000, 134.440000, 134.650000, 134.860000, 135.070000, 135.280000, 135.490000, 135.700000, 135.910000, 136.120000, 136.330000, 136.540000, 136.750000, 136.960000, 137.170000, 137.380000, 137.590000, 137.800000, 138.010000, 138.220000, 138.430000, 138.640000, 138.850000, 139.060000, 139.270000, 139.480000, 139.690000, 139.900000, 140.110000, 140.320000, 140.530000, 140.740000, 140.950000, 141.160000, 141.370000, 141.580000, 141.790000, 142.000000, 142.210000, 142.420000, 142.630000, 142.840000, 143.050000, 143.260000, 143.470000, 143.680000, 143.890000, 144.100000, 144.310000, 144.520000, 144.730000, 144.940000, 145.150000, 145.360000, 145.570000, 145.780000, 145.990000, 146.200000, 146.410000, 146.620000, 146.830000, 147.040000, 147.250000, 147.460000, 147.670000, 147.880000, 148.090000, 148.300000, 148.510000, 148.720000, 148.930000, 149.140000, 149.350000, 149.560000, 149.770000, 149.980000, 150.190000, 150.400000, 150.610000, 150.820000, 151.030000, 151.240000, 151.450000, 151.660000, 151.870000, 152.080000, 152.290000, 152.500000, 152.710000, 152.920000, 153.130000, 153.340000, 153.550000, 153.760000, 153.970000, 154.180000, 154.390000, 154.600000, 154.810000, 155.020000, 155.230000, 155.440000, 155.650000, 155.860000, 156.070000, 156.280000, 156.490000, 156.700000, 156.910000, 157.120000, 157.330000, 157.540000, 157.750000, 157.960000
149 };
150 
151 
152 
153 
154 double bEcrTable [9][38] = {
155  // CB of 40 bits
156  {
157  0.02472, 0.06352, 0.09516, // QPSK retx
158  0.1777, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // QPSK
159  -1.000, -1.000, -1.000, // 16QAM retx
160  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // 16QAM
161  -1.000, -1.000, -1.000, // 64QAM retx
162  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000 // 64QAM
163  },
164  // CB of 104 bits
165  {
166  0.01940, 0.05020, 0.07592, // QPSK retx
167  0.1423, 0.1753, 0.1882, 0.2499, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // QPSK
168  -1.000, -1.000, -1.000, // 16QAM retx
169  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // 16QAM
170  -1.000, -1.000, -1.000, // 64QAM retx
171  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000 // 64QAM
172  },
173  // CB of 160
174  {
175  0.01820, 0.04688, 0.07082, // QPSK retx
176  0.1354, 0.1655, 0.1812, 0.2351, 0.2873, 0.3462, -1.000, -1.000, -1.000, -1.0000, // QPSK
177  -1.000, -1.000, -1.000, // 16QAM retx
178  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // 16QAM
179  -1.000, -1.000, -1.000, // 64QAM retx
180  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000 // 64QAM
181  },
182  // CB of 256
183  {
184  0.01728, 0.04488, 0.06786, // QPSK retx
185  0.1304, 0.1584, 0.1735, 0.2265, 0.2782, 0.3340, 0.3927, 0.4785, 0.5566, -1.000, // QPSK
186  -1.000, -1.000, -1.000, // 16QAM retx
187  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // 16QAM
188  -1.000, -1.000, -1.000, // 64QAM retx
189  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000 // 64QAM
190  },
191  // CB of 512
192  {
193  0.01658, 0.04332, 0.06550, // QPSK retx
194  0.1257, 0.1528, 0.1667, 0.2188, 0.2680, 0.3229, 0.3818, 0.4607, 0.5373, 0.6081, // QPSK
195  0.15004, 0.18266, 0.24084, // 16 QAM retx
196  0.3783, 0.4049, 0.4472, 0.4975, 0.5556, -1.000, -1.000, //16QAM
197  -1.000, -1.000, -1.000, // 64QAM retx
198  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000 // 64QAM
199  },
200  // CB of 1024
201  {
202  0.01622, 0.04216, 0.06402, // QPSK retx
203  0.1224, 0.1497, 0.1638, 0.2139, 0.2636, 0.3195, 0.3768, 0.4520, 0.5269, 0.5963, // QPSK
204  0.14846, 0.18102, 0.237880, // 16QAM retx
205  0.3754, 0.3979, 0.4399, 0.4894, 0.5464, 0.6034, 0.6619, // 16QAM
206  0.13938, 0.19212, 0.28890, // 64QAM retx
207  0.50662, 0.52226, 0.5627, 0.6089, 0.6577, 0.7049, 0.7508, -1.000, -1.000, -1.000, -1.000, -1.000 //64QAM
208  },
209  // CB of 2560
210  {
211  0.01600, 0.04164, 0.06320, // QPSK retx
212  0.1211, 0.1480, 0.1615, 0.2119, 0.2611, 0.3157, 0.3735, 0.4458, 0.5205, 0.5902, // QPSK
213  0.14484, 0.17770, 0.23558, // 16 QAM retx
214  0.3729, 0.3939, 0.4351, 0.4851, 0.5416, 0.5976, 0.6554, // 16QAM
215  0.13770, 0.18336, 0.27600, // 64 QAM retx
216  0.50028, 0.51888, 0.5619, 0.6056, 0.6521, 0.6982, 0.7441, 0.7874, 0.8315, 0.8735, 0.9089, 0.9369 // 64QAM
217  },
218  // CB of 4032
219  {
220  0.01598, 0.04164, 0.06300, // QPSK retx
221  0.1208, 0.1477, 0.1612, 0.2112, 0.2606, 0.3153, 0.3728, 0.4441, 0.5185, 0.5882, // QPSK
222  0.169280, 0.199820, 0.25520, // 16 QAM retx
223  0.3864, 0.3921, 0.4338, 0.4871, 0.5386, 0.5940, 0.6527, // 16QAM
224  0.13754, 0.18956, 0.28408, // 64QAM retx
225  0.50316, 0.51872, 0.5591, 0.6027, 0.6512, 0.6981, 0.7437, 0.7873, 0.8301, 0.8702, 0.9082, 0.9339 // 64QAM
226  },
227  // CB of 6144
228  {
229  0.01598, 0.04154, 0.06288, // QPSK retx
230  0.1207, 0.1474, 0.1612, 0.2111, 0.2605, 0.3153, 0.3726, 0.4439, 0.5193, 0.5882, // QPSK
231  0.14490, 0.17742, 0.23514, // 16QAM retx
232  0.3724, 0.3921, 0.4339, 0.4833, 0.5407, 0.5952, 0.6528, // 16QAM
233  0.13752, 0.18244, 0.27578, // 64QAM retx
234  0.49780, 0.51606, 0.5600, 0.6027, 0.6494, 0.6948, 0.7407, 0.7842, 0.8284, 0.8692, 0.9058, 0.9325 // 64QAM
235  },
236 };
237 
238 
239 double cEcrTable [9][38] = {
240  // CB of 40 bits
241  {
242  0.00543, 0.01337, 0.01969, // QPSK retx
243  0.0342, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // QPSK
244  -1.000, -1.000, -1.000, // 16QAM retx
245  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // 16QAM
246  -1.000, -1.000, -1.000, // 64QAM retx
247  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000 // 64 QAM
248  },
249  // CB of 104 bits
250  {
251  0.00301, 0.00749, 0.01071, // QPSK retx
252  0.0198, 0.0239, 0.0248, 0.0320, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // QPSK
253  -1.000, -1.000, -1.000, // 16QAM retx
254  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // 16QAM
255  -1.000, -1.000, -1.000, // 64QAM retx
256  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000 // 64QAM
257  },
258  // CB of 160 bits
259  {
260  0.00245, 0.00589, 0.00843, // QPSK retx
261  0.0157, 0.0190, 0.0204, 0.0252, 0.0310, 0.0348, -1.0000, -1.000, -1.000, -1.000, //QPSK
262  -1.000, -1.000, -1.000, // 16QAM retx
263  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // 16QAM
264  -1.000, -1.000, -1.000, // 64QAM retx
265  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000 // 64QAM
266  },
267  // CB of 256 bits
268  {
269  0.00187, 0.00453, 0.00699, // QPSK retx
270  0.0123, 0.0149, 0.0163, 0.0212, 0.0252, 0.0298, 0.0304, 0.0341, 0.0382, -1.000, // QPSK
271  -1.000, -1.000, -1.000, // 16QAM retx
272  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, // 16QAM
273  -1.000, -1.000, -1.000, // 64QAM retx
274  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000
275  },
276  // CB of 512 bits
277  {
278  0.00135, 0.00319, 0.00469, // QPSK retx
279  0.0085, 0.0106, 0.0109, 0.0140, 0.0178, 0.0217, 0.0219, 0.0249, 0.0270, 0.0292, // QPSK
280  0.01027, 0.01197, 0.01485, // 16QAM retx
281  0.0202, 0.0206, 0.0220, 0.0235, 0.0236, -1.000, -1.000, // 16 QAM
282  -1.000, -1.000, -1.000, // 64QAM retx
283  -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000, -1.000
284  },
285  // CB of 1024 bits
286  {
287  0.00093, 0.00239, 0.00327, // QPSK retx
288  0.0061, 0.0074, 0.0078, 0.0102, 0.0121, 0.0138, 0.0163, 0.0178, 0.0207, 0.0198, // QPSK
289  0.00725, 0.00879, 0.01015, // 16QAM retx
290  0.0141, 0.0137, 0.0154, 0.0164, 0.0175, 0.0188, 0.0188, // 16QAM
291  0.00705, 0.01111, 0.01359, // 64QAM retx
292  0.01661, 0.01655, 0.0157, 0.0169, 0.0185, 0.0189, 0.0200, -1.000, -1.000, -1.000, -1.000, -1.000 // 64QAM
293  },
294  // CB of 2560 bits
295  {
296  0.00059, 0.00145, 0.00209, // QPSK retx
297  0.0040, 0.0047, 0.0050, 0.0063, 0.0079, 0.0091, 0.0101, 0.0117, 0.0123, 0.0129, // QPSK
298  0.00419, 0.00515, 0.00649, // 16QAM retx
299  0.0083, 0.0091, 0.0095, 0.0102, 0.0112, 0.0114, 0.0119, // 16QAM
300  0.00451, 0.00597, 0.00791, // 64QAM retx
301  0.00951, 0.00943, 0.0096, 0.0104, 0.0109, 0.0108, 0.0118, 0.0122, 0.0117, 0.0110, 0.0097, 0.0085 // 64QAM
302  },
303  // CB of 4032 bits
304  {
305  0.00045, 0.00111, 0.00173, // QPSK retx
306  0.0032, 0.0038, 0.0039, 0.0051, 0.0063, 0.0072, 0.0079, 0.0084, 0.0100, 0.0106, // QPSK
307  0.00577, 0.00615, 0.00723, // 16QAM retx
308  0.0092, 0.0074, 0.0078, 0.0090, 0.0084, 0.0089, 0.0092, // 16 QAM
309  0.00369, 0.00565, 0.00737, // 64QAM retx
310  0.00795, 0.0080, 0.0080, 0.0081, 0.0090, 0.0091, 0.0095, 0.0096, 0.0094, 0.0086, 0.0078, 0.0071 // 64QAM
311  },
312  // CB of 6144 bits
313  {
314  0.00037, 0.00093, 0.00141, // QPSK retx
315  0.0025, 0.0032, 0.0032, 0.0042, 0.0054, 0.0059, 0.0064, 0.0073, 0.0081, 0.0076, // QPSK
316  0.00273, 0.00351, 0.00417, // 16QAM retx
317  0.0056, 0.0058, 0.0064, 0.0070, 0.0068, 0.0074, 0.0080, // 16QAM
318  0.00303, 0.00377, 0.00507, // 64QAM retx
319  0.0060, 0.00609, 0.0061, 0.0066, 0.0069, 0.0080, 0.0081, 0.0080, 0.0077, 0.0068, 0.0066, 0.0058 // 64QAM
320  }
321 
322 };
323 
324 
325 double
326 LteMiErrorModel::Mib (const SpectrumValue& sinr, const std::vector<int>& map, uint8_t mcs)
327 {
328  NS_LOG_FUNCTION (sinr << &map << (uint32_t) mcs);
329 
330  double MI;
331  double MIsum = 0.0;
332 
333  for (uint32_t i = 0; i < map.size (); i++)
334  {
335  SpectrumValue sinrCopy = sinr;
336  double sinrLin = sinrCopy[map.at (i)];
337  if (mcs <= MI_QPSK_MAX_ID) // QPSK
338  {
339  int tr = 0;
340  while ((tr<MI_MAP_QPSK_SIZE)&&(MI_map_qpsk_axis[tr] < sinrLin))
341  {
342  tr++;
343  }
344  if (sinrLin > MI_map_qpsk_axis[MI_MAP_QPSK_SIZE-1])
345  {
346  MI = 1;
347  }
348  else
349  {
350  NS_ASSERT_MSG (tr<MI_MAP_QPSK_SIZE, "MI map out of data");
351  MI = MI_map_qpsk[tr];
352  }
353  }
354  else
355  {
356  if (mcs > MI_QPSK_MAX_ID && mcs <= MI_16QAM_MAX_ID ) // 16-QAM
357  {
358  int tr = 0;
359  while ((tr<MI_MAP_16QAM_SIZE)&&(MI_map_16qam_axis[tr] < sinrLin))
360  {
361  tr++;
362  }
363  if (sinrLin > MI_map_16qam_axis[MI_MAP_16QAM_SIZE-1])
364  {
365  MI = 1;
366  }
367  else
368  {
369  NS_ASSERT_MSG (tr<MI_MAP_16QAM_SIZE, "MI map out of data");
370  MI = MI_map_16qam[tr];
371  }
372  }
373  else // 64-QAM
374  {
375  int tr = 0;
376  while ((tr<MI_MAP_64QAM_SIZE)&&(MI_map_64qam_axis[tr] < sinrLin))
377  {
378  tr++;
379  }
380  if (sinrLin > MI_map_64qam_axis[MI_MAP_64QAM_SIZE-1])
381  {
382  MI = 1;
383  }
384  else
385  {
386  NS_ASSERT_MSG (tr<MI_MAP_64QAM_SIZE, "MI map out of data");
387  MI = MI_map_64qam[tr];
388  }
389  }
390  }
391  NS_LOG_LOGIC (" RB " << map.at (i) << "Minimum SNR = " << 10 * std::log10 (sinrLin) << " dB, " << sinrLin << " V, MCS = " << (uint16_t)mcs << ", MI = " << MI);
392  MIsum += MI;
393  }
394  MI = MIsum / map.size ();
395  NS_LOG_LOGIC (" MI = " << MI);
396  return MI;
397 }
398 
399 
400 double
401 LteMiErrorModel::MappingMiBler (double mib, uint8_t ecrId, uint16_t cbSize)
402 {
403  NS_LOG_FUNCTION (mib << (uint32_t) ecrId << (uint32_t) cbSize);
404  double b = 0;
405  double c = 0;
406 
407  NS_ASSERT_MSG (ecrId <= MI_64QAM_BLER_MAX_ID, "ECR out of range [0..37]: " << (uint16_t) ecrId);
408  int cbIndex = 1;
409  while ((cbIndex < 9)&&(cbMiSizeTable[cbIndex]<= cbSize))
410  {
411  cbIndex++;
412  }
413  cbIndex--;
414  NS_LOG_LOGIC (" ECRid " << (uint16_t)ecrId << " ECR " << BlerCurvesEcrMap[ecrId] << " CB size " << cbSize << " CB size curve " << cbMiSizeTable[cbIndex]);
415 
416  b = bEcrTable[cbIndex][ecrId];
417  if (b<0.0)
418  {
419  //take the lowest CB size including this CB for removing CB size
420  //quatization errors
421  int i = cbIndex;
422  while ((i<9)&&(b<0))
423  {
424  b = bEcrTable[i++][ecrId];
425  }
426  }
427  c = cEcrTable[cbIndex][ecrId];
428  if (c<0.0)
429  {
430  //take the lowest CB size including this CB for removing CB size
431  //quatization errors
432  int i = cbIndex;
433  while ((i<9)&&(c<0))
434  {
435  c = cEcrTable[i++][ecrId];
436  }
437  }
438  // see IEEE802.16m EMD formula 55 of section 4.3.2.1
439  double bler = 0.5*( 1 - erf((mib-b)/(sqrt(2)*c)) );
440  NS_LOG_LOGIC ("MIB: " << mib << " BLER:" << bler << " b:" << b << " c:" << c);
441  return bler;
442 }
443 
444 
445 
446 double
447 LteMiErrorModel::GetPcfichPdcchError (const SpectrumValue& sinr)
448 {
449  NS_LOG_FUNCTION (sinr);
450  double MI;
451  double MIsum = 0.0;
452  SpectrumValue sinrCopy = sinr;
453  Values::iterator sinrIt = sinrCopy.ValuesBegin ();
454  uint16_t rb = 0;
455  NS_ASSERT (sinrIt!=sinrCopy.ValuesEnd ());
456  while (sinrIt!=sinrCopy.ValuesEnd ())
457  {
458  double sinrLin = *sinrIt;
459  int tr = 0;
460  while ((tr<MI_MAP_QPSK_SIZE)&&(MI_map_qpsk_axis[tr] < sinrLin))
461  {
462  tr++;
463  }
464  if (sinrLin > MI_map_qpsk_axis[MI_MAP_QPSK_SIZE-1])
465  {
466  MI = 1;
467  }
468  else
469  {
470  NS_ASSERT_MSG (tr<MI_MAP_QPSK_SIZE, "MI map out of data");
471  MI = MI_map_qpsk[tr];
472  }
473 // NS_LOG_DEBUG (" RB " << rb << " SINR " << 10*log10 (sinrLin) << " MI " << MI);
474  MIsum += MI;
475  sinrIt++;
476  rb++;
477  }
478  MI = MIsum / rb;
479  // return to the effective SINR value
480  int j = 0;
481  double esinr = 0.0;
482  while ((j<MI_MAP_QPSK_SIZE)&&(MI_map_qpsk[j] < MI))
483  {
484  j++;
485  }
486  if (MI > MI_map_qpsk[MI_MAP_QPSK_SIZE-1])
487  {
488  esinr = MI_map_qpsk_axis[MI_MAP_QPSK_SIZE-1];
489  }
490  else
491  {
492  NS_ASSERT_MSG (j<MI_MAP_QPSK_SIZE, "MI map out of data");
493  // take the closest value (when possible)
494  if (j>0)
495  {
496  if ((MI_map_qpsk[j]-MI)<(MI-MI_map_qpsk[j-1]))
497  {
498  esinr = MI_map_qpsk_axis[j];
499  }
500  else
501  {
502  esinr = MI_map_qpsk_axis[j-1];
503  }
504  }
505  else
506  {
507  esinr = MI_map_qpsk_axis[0];
508  }
509  }
510 
511  double esirnDb = 10*log10 (esinr);
512 // NS_LOG_DEBUG ("Effective SINR " << esirnDb << " max " << 10*log10 (MI_map_qpsk [MI_MAP_QPSK_SIZE-1]));
513  uint16_t i = 0;
514  double errorRate = 0.0;
515  while ((i<PDCCH_PCFICH_CURVE_SIZE)&&(PdcchPcfichBlerCurveXaxis[i] < esirnDb))
516  {
517  i++;
518  }
519  if (esirnDb > PdcchPcfichBlerCurveXaxis[PDCCH_PCFICH_CURVE_SIZE-1])
520  {
521  errorRate = 0.0;
522  }
523  else
524  {
525  NS_ASSERT_MSG (i<PDCCH_PCFICH_CURVE_SIZE, "PDCCH-PCFICH map out of data");
526  errorRate = PdcchPcfichBlerCurveYaxis[i];
527  }
528 
529  return (errorRate);
530 }
531 
532 
533 
534 
535 TbStats_t
536 LteMiErrorModel::GetTbDecodificationStats (const SpectrumValue& sinr, const std::vector<int>& map, uint16_t size, uint8_t mcs, HarqProcessInfoList_t miHistory)
537 {
538  NS_LOG_FUNCTION (sinr << &map << (uint32_t) size << (uint32_t) mcs);
539 
540  double tbMi = Mib(sinr, map, mcs);
541  double MI = 0.0;
542  double Reff = 0.0;
543  NS_ASSERT (mcs < 29);
544  if (miHistory.size ()>0)
545  {
546  // evaluate R_eff and MI_eff
547  uint16_t codeBitsSum = 0;
548  double miSum = 0.0;
549  for (uint16_t i = 0; i < miHistory.size (); i++)
550  {
551  NS_LOG_DEBUG (" Sum MI " << miHistory.at (i).m_mi << " Ci " << miHistory.at (i).m_codeBits);
552  codeBitsSum += miHistory.at (i).m_codeBits;
553  miSum += (miHistory.at (i).m_mi*miHistory.at (i).m_codeBits);
554  }
555  codeBitsSum += (((double)size*8.0) / McsEcrTable [mcs]);
556  miSum += (tbMi*(((double)size*8.0) / McsEcrTable [mcs]));
557  Reff = miHistory.at (0).m_infoBits / (double)codeBitsSum; // information bits are the size of the first TB
558  MI = miSum / (double)codeBitsSum;
559  }
560  else
561  {
562  MI = tbMi;
563  }
564  NS_LOG_DEBUG (" MI " << MI << " Reff " << Reff << " HARQ " << miHistory.size ());
565  // estimate CB size (according to sec 5.1.2 of TS 36.212)
566  uint16_t Z = 6144; // max size of a codeblock (including CRC)
567  uint32_t B = size * 8;
568 // B = 1234;
569  uint32_t L = 0;
570  uint32_t C = 0; // no. of codeblocks
571  uint32_t Cplus = 0; // no. of codeblocks with size K+
572  uint32_t Kplus = 0; // no. of codeblocks with size K+
573  uint32_t Cminus = 0; // no. of codeblocks with size K+
574  uint32_t Kminus = 0; // no. of codeblocks with size K+
575  uint32_t B1 = 0;
576  uint32_t deltaK = 0;
577  if (B <= Z)
578  {
579  // only one codeblock
580  L = 0;
581  C = 1;
582  B1 = B;
583  }
584  else
585  {
586  L = 24;
587  C = ceil ((double)B / ((double)(Z-L)));
588  B1 = B + C * L;
589  }
590  // first segmentation: K+ = minimum K in table such that C * K >= B1
591 // uint i = 0;
592 // while (B1 > cbSizeTable[i] * C)
593 // {
594 // // NS_LOG_INFO (" K+ " << cbSizeTable[i] << " means " << cbSizeTable[i] * C);
595 // i++;
596 // }
597 // uint16_t KplusId = i;
598 // Kplus = cbSizeTable[i];
599 
600  // implement a modified binary search
601  int min = 0;
602  int max = 187;
603  int mid = 0;
604  do
605  {
606  mid = (min+max) / 2;
607  if (B1 > cbSizeTable[mid]*C)
608  {
609  if (B1 < cbSizeTable[mid+1]*C)
610  {
611  break;
612  }
613  else
614  {
615  min = mid + 1;
616  }
617  }
618  else
619  {
620  if (B1 > cbSizeTable[mid-1]*C)
621  {
622  break;
623  }
624  else
625  {
626  max = mid - 1;
627  }
628  }
629  } while ((cbSizeTable[mid]*C != B1) && (min < max));
630  // adjust binary search to the largest integer value of K containing B1
631  if (B1 > cbSizeTable[mid]*C)
632  {
633  mid ++;
634  }
635 
636  uint16_t KplusId = mid;
637  Kplus = cbSizeTable[mid];
638 
639 
640  if (C==1)
641  {
642  Cplus = 1;
643  Cminus = 0;
644  Kminus = 0;
645  }
646  else
647  {
648  // second segmentation size: K- = maximum K in table such that K < K+
649  Kminus = cbSizeTable[KplusId-1 > 0 ? KplusId-1 : 0];
650  deltaK = Kplus - Kminus;
651  Cminus = floor ((((double) C * Kplus) - (double)B1) / (double)deltaK);
652  Cplus = C - Cminus;
653  }
654  NS_LOG_INFO ("--------------------LteMiErrorModel: TB size of " << B << " needs of " << B1 << " bits reparted in " << C << " CBs as "<< Cplus << " block(s) of " << Kplus << " and " << Cminus << " of " << Kminus);
655 
656  double errorRate = 1.0;
657  uint8_t ecrId = 0;
658  if (miHistory.size ()==0)
659  {
660  // first tx -> get ECR from MCS
661  ecrId = McsEcrBlerTableMapping[mcs];
662  NS_LOG_DEBUG ("NO HARQ MCS " << (uint16_t)mcs << " ECR id " << (uint16_t)ecrId);
663  }
664  else
665  {
666  NS_LOG_DEBUG ("HARQ block no. " << miHistory.size ());
667  // harq retx -> get closest ECR to Reff from available ones
668  if (mcs <= MI_QPSK_MAX_ID)
669  {
670  // Modulation order 2
671  uint8_t i = MI_QPSK_MAX_ID;
672  while ((BlerCurvesEcrMap[i]>Reff)&&(i>0))
673  {
674  i--;
675  }
676  ecrId = i;
677  }
678  else if (mcs <= MI_16QAM_MAX_ID)
679  {
680  // Modulation order 4
681  uint8_t i = MI_16QAM_MAX_ID;
682  while ((BlerCurvesEcrMap[i]>Reff)&&(i>MI_QPSK_MAX_ID + 1))
683  {
684  i--;
685  }
686  ecrId = i;
687  }
688  else
689  {
690  // Modulation order 6
691  uint8_t i = MI_64QAM_MAX_ID;
692  while ((BlerCurvesEcrMap[i]>Reff)&&(i>MI_16QAM_MAX_ID + 1))
693  {
694  i--;
695  }
696  ecrId = i;
697  }
698  NS_LOG_DEBUG ("HARQ ECR " << (uint16_t)ecrId);
699  }
700 
701  if (C!=1)
702  {
703  double cbler = MappingMiBler (MI, ecrId, Kplus);
704  errorRate *= pow (1.0 - cbler, Cplus);
705  cbler = MappingMiBler (MI, ecrId, Kminus);
706  errorRate *= pow (1.0 - cbler, Cminus);
707  errorRate = 1.0 - errorRate;
708  }
709  else
710  {
711  errorRate = MappingMiBler (MI, ecrId, Kplus);
712  }
713 
714  NS_LOG_LOGIC (" Error rate " << errorRate);
715  TbStats_t ret;
716  ret.tbler = errorRate;
717  ret.mi = tbMi;
718  return ret;
719 }
720 
721 
722 
723 
724 } // namespace ns3
725