fading.cpp

00001 
00002 #include "fading.hpp"
00003 #include "wireless_comm_signal.hpp"
00004 #include "physical_layer.hpp"
00005 #include "simulator.hpp"
00006 #include "rand_num_generator.hpp"
00007 
00008 const double Ricean::m_DEFAULT_MAX_VELOCITY = 6.5;
00009 const double Ricean::m_DEFAULT_K = 6.0;
00010 const t_uint Ricean::m_NUMBER_OF_POINTS = 16384;
00011 const double Ricean::m_MAX_DOPPLER_FREQUENCY = 30.0;
00012 const double Ricean::m_MAX_SAMPLE_RATE = 1000.0;
00013 
00014 Fading::Fading()
00015 {
00016 
00017 }
00018 
00019 Fading::Fading(const Fading& rhs)
00020 {
00021 
00022 }
00023 
00024 Fading::~Fading()
00025 {
00026 
00027 }
00028 
00029 Ricean::Ricean()
00030    : m_maxVelocity(m_DEFAULT_MAX_VELOCITY), m_kParameter(m_DEFAULT_K)
00031 {
00032 
00033 }
00034 
00035 Ricean::Ricean(double maxVelocity, double k)
00036    : m_maxVelocity(maxVelocity), m_kParameter(k)
00037 {
00038 
00039 }
00040 
00041 Ricean::Ricean(const Ricean& rhs)
00042    : m_maxVelocity(rhs.m_maxVelocity), m_kParameter(rhs.m_kParameter)
00043 {
00044 
00045 }
00046 
00047 Rayleigh::Rayleigh()
00048    : Ricean(m_DEFAULT_MAX_VELOCITY, 0)
00049 {
00050 
00051 }
00052 
00053 Rayleigh::Rayleigh(double maxVelocity)
00054    : Ricean(maxVelocity, 0)
00055 {
00056 
00057 }
00058 
00059 Rayleigh::Rayleigh(const Rayleigh& rhs)
00060    : Ricean(rhs)
00061 {
00062 
00063 }
00064 
00065 double Ricean::fadingFactor(const WirelessCommSignal& signal, 
00066    const NodeId& nodeId)
00067 {
00068    // This code is from the ns-2 module by Punnoose et al.
00069    // See their code and paper for details of the model.
00070 
00071    // MJM: I modified the model to compute a different fading
00072    // factor for each receiver to avoid having the same
00073    // fading factor globally for a given time instance.
00074    
00075    double maxFrequency = m_maxVelocity / signal.getWavelength();
00076    SimTime currentTime = Simulator::instance()->currentTime();
00077    double timeIndex = (currentTime.getTimeInSeconds() * 
00078       m_MAX_SAMPLE_RATE * (maxFrequency / m_MAX_DOPPLER_FREQUENCY));
00079    timeIndex = timeIndex - (m_NUMBER_OF_POINTS * 
00080       floor(timeIndex / m_NUMBER_OF_POINTS));
00081 
00082    // Envelope interpolation using Legendre polynomials
00083    int idx1 = static_cast<int>(floor(timeIndex));
00084    assert(idx1 >= 0 && idx1 < static_cast<int>(m_NUMBER_OF_POINTS));
00085 
00086    map<NodeId,int>::const_iterator p = m_nodeOffset.find(nodeId);
00087    if(p == m_nodeOffset.end()) {
00088       RandNumGeneratorPtr rand = 
00089          Simulator::instance()->getRandNumGenerator();
00090       m_nodeOffset[nodeId] = 
00091          rand->uniformInt(0, (m_NUMBER_OF_POINTS - 1));;
00092    }
00093    idx1 = (idx1 + m_nodeOffset[nodeId]) % m_NUMBER_OF_POINTS;
00094 
00095    int idx0 = (idx1 - 1 + m_NUMBER_OF_POINTS) % m_NUMBER_OF_POINTS;
00096    int idx2 = (idx1 + 1) % m_NUMBER_OF_POINTS;
00097    int idx3 = (idx1 + 2) % m_NUMBER_OF_POINTS;
00098 
00099    //double X1 = timeIndex - idx1;
00100    double X1 = timeIndex - floor(timeIndex);
00101    double X0 = X1 + 1.0;
00102    double X2 = X1 - 1.0;
00103    double X3 = X1 - 2.0;
00104 
00105    double interpolation1 =
00106       (m_GAUSSIAN_DATA1[idx0] * X1 * X2 * X3 / -6.0) +
00107       (m_GAUSSIAN_DATA1[idx1] * X0 * X2 * X3 * 0.5) +
00108       (m_GAUSSIAN_DATA1[idx2] * X0 * X1 * X3 * -0.5) +
00109       (m_GAUSSIAN_DATA1[idx3] * X0 * X1 * X2 / 6.0);
00110 
00111    double interpolation2 =
00112       (m_GAUSSIAN_DATA2[idx0] * X1 * X2 * X3 / -6.0) +
00113       (m_GAUSSIAN_DATA2[idx1] * X0 * X2 * X3 * 0.5) +
00114       (m_GAUSSIAN_DATA2[idx2] * X0 * X1 * X3 * -0.5) +
00115       (m_GAUSSIAN_DATA2[idx3] * X0 * X1 * X2 / 6.0);
00116 
00117    // The envelope multiplicative factor
00118    double numeratorTerm1 = interpolation1 + sqrt(2.0 * m_kParameter);
00119    double envelopeFactor = 
00120       (pow(numeratorTerm1, 2) + pow(interpolation2, 2)) / 
00121       (2.0 * (m_kParameter + 1));
00122 
00123    return envelopeFactor;
00124 }
00125 
00126 // These are generated values from the Punnoose et al.
00127 // implementation.  I've hard-coded them rather than load
00128 // from a file.
00129 const double Ricean::m_GAUSSIAN_DATA1[m_NUMBER_OF_POINTS] =
00130 {
00131 -1.059166,
00132 -1.230047,
00133 -1.372025,
00134 -1.485196,
00135 -1.570531,
00136 -1.629788,
00137 -1.665405,
00138 -1.680371,
00139 -1.678082,
00140 -1.662188,
00141 -1.636435,
00142 -1.604505,
00143 -1.569873,
00144 -1.535666,
00145 -1.504541,
00146 -1.478590,
00147 -1.459267,
00148 -1.447334,
00149 -1.442852,
00150 -1.445183,
00151 -1.453035,
00152 -1.464527,
00153 -1.477274,
00154 -1.488506,
00155 -1.495187,
00156 -1.494163,
00157 -1.482299,
00158 -1.456634,
00159 -1.414520,
00160 -1.353755,
00161 -1.272704,
00162 -1.170396,
00163 -1.046604,
00164 -0.901891,
00165 -0.737635,
00166 -0.556020,
00167 -0.359999,
00168 -0.153229,
00169 0.060025,
00170 0.275005,
00171 0.486598,
00172 0.689491,
00173 0.878337,
00174 1.047926,
00175 1.193353,
00176 1.310188,
00177 1.394627,
00178 1.443630,
00179 1.455042,
00180 1.427677,
00181 1.361389,
00182 1.257095,
00183 1.116782,
00184 0.943470,
00185 0.741147,
00186 0.514675,
00187 0.269661,
00188 0.012320,
00189 -0.250705,
00190 -0.512512,
00191 -0.766141,
00192 -1.004764,
00193 -1.221875,
00194 -1.411477,
00195 -1.568253,
00196 -1.687713,
00197 -1.766322,
00198 -1.801603,
00199 -1.792207,
00200 -1.737947,
00201 -1.639808,
00202 -1.499914,
00203 -1.321473,
00204 -1.108681,
00205 -0.866610,
00206 -0.601065,
00207 -0.318423,
00208 -0.025461,
00209 0.270826,
00210 0.563413,
00211 0.845426,
00212 1.110321,
00213 1.352048,
00214 1.565195,
00215 1.745117,
00216 1.888036,
00217 1.991117,
00218 2.052518,
00219 2.071404,
00220 2.047944,
00221 1.983267,
00222 1.879407,
00223 1.739217,
00224 1.566263,
00225 1.364708,
00226 1.139182,
00227 0.894645,
00228 0.636247,
00229 0.369192,
00230 0.098608,
00231 -0.170577,
00232 -0.433741,
00233 -0.686662,
00234 -0.925591,
00235 -1.147308,
00236 -1.349160,
00237 -1.529074,
00238 -1.685556,
00239 -1.817671,
00240 -1.925007,
00241 -2.007627,
00242 -2.066009,
00243 -2.100982,
00244 -2.113653,
00245 -2.105338,
00246 -2.077492,
00247 -2.031647,
00248 -1.969349,
00249 -1.892118,
00250 -1.801403,
00251 -1.698561,
00252 -1.584841,
00253 -1.461382,
00254 -1.329218,
00255 -1.189303,
00256 -1.042530,
00257 -0.889764,
00258 -0.731879,
00259 -0.569794,
00260 -0.404505,
00261 -0.237118,
00262 -0.068871,
00263 0.098844,
00264 0.264483,
00265 0.426344,
00266 0.582591,
00267 0.731276,
00268 0.870378,
00269 0.997854,
00270 1.111691,
00271 1.209974,
00272 1.290951,
00273 1.353103,
00274 1.395211,
00275 1.416422,
00276 1.416302,
00277 1.394887,
00278 1.352713,
00279 1.290836,
00280 1.210840,
00281 1.114817,
00282 1.005339,
00283 0.885408,
00284 0.758389,
00285 0.627931,
00286 0.497871,
00287 0.372128,
00288 0.254591,
00289 0.149006,
00290 0.058854,
00291 -0.012756,
00292 -0.063196,
00293 -0.090411,
00294 -0.092995,
00295 -0.070257,
00296 -0.022252,
00297 0.050193,
00298 0.145491,
00299 0.261324,
00300 0.394699,
00301 0.542022,
00302 0.699199,
00303 0.861751,
00304 1.024943,
00305 1.183926,
00306 1.333883,
00307 1.470180,
00308 1.588510,
00309 1.685032,
00310 1.756493,
00311 1.800342,
00312 1.814813,
00313 1.798990,
00314 1.752847,
00315 1.677257,
00316 1.573973,
00317 1.445582,
00318 1.295433,
00319 1.127536,
00320 0.946439,
00321 0.757097,
00322 0.564711,
00323 0.374565,
00324 0.191866,
00325 0.021573,
00326 -0.131762,
00327 -0.264139,
00328 -0.372239,
00329 -0.453537,
00330 -0.506382,
00331 -0.530056,
00332 -0.524799,
00333 -0.491806,
00334 -0.433187,
00335 -0.351909,
00336 -0.251693,
00337 -0.136903,
00338 -0.012400,
00339 0.116612,
00340 0.244760,
00341 0.366672,
00342 0.477159,
00343 0.571383,
00344 0.645020,
00345 0.694405,
00346 0.716655,
00347 0.709765,
00348 0.672686,
00349 0.605356,
00350 0.508711,
00351 0.384662,
00352 0.236032,
00353 0.066473,
00354 -0.119653,
00355 -0.317409,
00356 -0.521444,
00357 -0.726162,
00358 -0.925906,
00359 -1.115138,
00360 -1.288620,
00361 -1.441581,
00362 -1.569876,
00363 -1.670115,
00364 -1.739775,
00365 -1.777283,
00366 -1.782060,
00367 -1.754542,
00368 -1.696160,
00369 -1.609292,
00370 -1.497180,
00371 -1.363819,
00372 -1.213823,
00373 -1.052267,
00374 -0.884516,
00375 -0.716044,
00376 -0.552247,
00377 -0.398263,
00378 -0.258796,
00379 -0.137958,
00380 -0.039130,
00381 0.035152,
00382 0.083286,
00383 0.104651,
00384 0.099633,
00385 0.069609,
00386 0.016897,
00387 -0.055324,
00388 -0.143124,
00389 -0.241961,
00390 -0.346842,
00391 -0.452495,
00392 -0.553560,
00393 -0.644775,
00394 -0.721171,
00395 -0.778249,
00396 -0.812147,
00397 -0.819786,
00398 -0.798991,
00399 -0.748581,
00400 -0.668427,
00401 -0.559476,
00402 -0.423737,
00403 -0.264234,
00404 -0.084918,
00405 0.109447,
00406 0.313427,
00407 0.521087,
00408 0.726180,
00409 0.922347,
00410 1.103319,
00411 1.263128,
00412 1.396300,
00413 1.498042,
00414 1.564407,
00415 1.592430,
00416 1.580239,
00417 1.527129,
00418 1.433602,
00419 1.301363,
00420 1.133286,
00421 0.933338,
00422 0.706467,
00423 0.458460,
00424 0.195777,
00425 -0.074645,
00426 -0.345599,
00427 -0.609821,
00428 -0.860216,
00429 -1.090068,
00430 -1.293247,
00431 -1.464395,
00432 -1.599091,
00433 -1.693982,
00434 -1.746885,
00435 -1.756855,
00436 -1.724206,
00437 -1.650504,
00438 -1.538512,
00439 -1.392103,
00440 -1.216136,
00441 -1.016307,
00442 -0.798965,
00443 -0.570919,
00444 -0.339224,
00445 -0.110964,
00446 0.106963,
00447 0.308059,
00448 0.486421,
00449 0.636915,
00450 0.755329,
00451 0.838490,
00452 0.884356,
00453 0.892061,
00454 0.861927,
00455 0.795442,
00456 0.695194,
00457 0.564775,
00458 0.408655,
00459 0.232021,
00460 0.040607,
00461 -0.159502,
00462 -0.362070,
00463 -0.560912,
00464 -0.750100,
00465 -0.924141,
00466 -1.078161,
00467 -1.208046,
00468 -1.310568,
00469 -1.383477,
00470 -1.425559,
00471 -1.436656,
00472 -1.417656,
00473 -1.370442,
00474 -1.297811,
00475 -1.203364,
00476 -1.091363,
00477 -0.966576,
00478 -0.834100,
00479 -0.699174,
00480 -0.566993,
00481 -0.442519,
00482 -0.330308,
00483 -0.234347,
00484 -0.157914,
00485 -0.103464,
00486 -0.072542,
00487 -0.065733,
00488 -0.082638,
00489 -0.121897,
00490 -0.181231,
00491 -0.257531,
00492 -0.346965,
00493 -0.445117,
00494 -0.547148,
00495 -0.647967,
00496 -0.742418,
00497 -0.825465,
00498 -0.892380,
00499 -0.938916,
00500 -0.961470,
00501 -0.957220,
00502 -0.924242,
00503 -0.861589,
00504 -0.769352,
00505 -0.648667,
00506 -0.501705,
00507 -0.331614,
00508 -0.142432,
00509 0.061025,
00510 0.273316,
00511 0.488537,
00512 0.700506,
00513 0.902961,
00514 1.089761,
00515 1.255084,
00516 1.393620,
00517 1.500745,
00518 1.572683,
00519 1.606632,
00520 1.600869,
00521 1.554819,
00522 1.469085,
00523 1.345445,
00524 1.186810,
00525 0.997150,
00526 0.781379,
00527 0.545215,
00528 0.295013,
00529 0.037579,
00530 -0.220038,
00531 -0.470754,
00532 -0.707664,
00533 -0.924256,
00534 -1.114601,
00535 -1.273543,
00536 -1.396850,
00537 -1.481347,
00538 -1.525012,
00539 -1.527040,
00540 -1.487865,
00541 -1.409152,
00542 -1.293740,
00543 -1.145562,
00544 -0.969521,
00545 -0.771340,
00546 -0.557390,
00547 -0.334493,
00548 -0.109716,
00549 0.109847,
00550 0.317288,
00551 0.506093,
00552 0.670345,
00553 0.804895,
00554 0.905523,
00555 0.969056,
00556 0.993468,
00557 0.977933,
00558 0.922848,
00559 0.829812,
00560 0.701580,
00561 0.541967,
00562 0.355730,
00563 0.148420,
00564 -0.073792,
00565 -0.304305,
00566 -0.536291,
00567 -0.762905,
00568 -0.977489,
00569 -1.173781,
00570 -1.346094,
00571 -1.489493,
00572 -1.599937,
00573 -1.674394,
00574 -1.710935,
00575 -1.708774,
00576 -1.668297,
00577 -1.591030,
00578 -1.479598,
00579 -1.337626,
00580 -1.169630,
00581 -0.980874,
00582 -0.777198,
00583 -0.564849,
00584 -0.350277,
00585 -0.139948,
00586 0.059853,
00587 0.243211,
00588 0.404756,
00589 0.539815,
00590 0.644551,
00591 0.716063,
00592 0.752468,
00593 0.752945,
00594 0.717744,
00595 0.648170,
00596 0.546527,
00597 0.416036,
00598 0.260725,
00599 0.085298,
00600 -0.105020,
00601 -0.304648,
00602 -0.507823,
00603 -0.708781,
00604 -0.901932,
00605 -1.082029,
00606 -1.244325,
00607 -1.384708,
00608 -1.499824,
00609 -1.587165,
00610 -1.645134,
00611 -1.673082,
00612 -1.671315,
00613 -1.641067,
00614 -1.584449,
00615 -1.504371,
00616 -1.404438,
00617 -1.288825,
00618 -1.162139,
00619 -1.029269,
00620 -0.895224,
00621 -0.764972,
00622 -0.643290,
00623 -0.534603,
00624 -0.442858,
00625 -0.371397,
00626 -0.322858,
00627 -0.299098,
00628 -0.301143,
00629 -0.329159,
00630 -0.382455,
00631 -0.459513,
00632 -0.558037,
00633 -0.675034,
00634 -0.806912,
00635 -0.949591,
00636 -1.098638,
00637 -1.249402,
00638 -1.397164,
00639 -1.537273,
00640 -1.665297,
00641 -1.777152,
00642 -1.869221,
00643 -1.938466,
00644 -1.982511,
00645 -1.999710,
00646 -1.989186,
00647 -1.950857,
00648 -1.885427,
00649 -1.794356,
00650 -1.679810,
00651 -1.544592,
00652 -1.392047,
00653 -1.225956,
00654 -1.050424,
00655 -0.869749,
00656 -0.688295,
00657 -0.510359,
00658 -0.340052,
00659 -0.181171,
00660 -0.037100,
00661 0.089288,
00662 0.195705,
00663 0.280506,
00664 0.342724,
00665 0.382089,
00666 0.399018,
00667 0.394593,
00668 0.370509,
00669 0.329016,
00670 0.272832,
00671 0.205056,
00672 0.129058,
00673 0.048378,
00674 -0.033396,
00675 -0.112736,
00676 -0.186284,
00677 -0.250954,
00678 -0.304025,
00679 -0.343217,
00680 -0.366761,
00681 -0.373441,
00682 -0.362627,
00683 -0.334285,
00684 -0.288970,
00685 -0.227802,
00686 -0.152422,
00687 -0.064938,
00688 0.032153,
00689 0.136037,
00690 0.243681,
00691 0.351926,
00692 0.457583,
00693 0.557531,
00694 0.648814,
00695 0.728723,
00696 0.794878,
00697 0.845293,
00698 0.878430,
00699 0.893243,
00700 0.889194,
00701 0.866271,
00702 0.824974,
00703 0.766294,
00704 0.691680,
00705 0.602981,
00706 0.502397,
00707 0.392397,
00708 0.275651,
00709 0.154948,
00710 0.033107,
00711 -0.087095,
00712 -0.203008,
00713 -0.312181,
00714 -0.412425,
00715 -0.501868,
00716 -0.579005,
00717 -0.642724,
00718 -0.692329,
00719 -0.727548,
00720 -0.748523,
00721 -0.755794,
00722 -0.750271,
00723 -0.733187,
00724 -0.706056,
00725 -0.670614,
00726 -0.628756,
00727 -0.582474,
00728 -0.533794,
00729 -0.484705,
00730 -0.437108,
00731 -0.392753,
00732 -0.353191,
00733 -0.319735,
00734 -0.293427,
00735 -0.275015,
00736 -0.264939,
00737 -0.263333,
00738 -0.270030,
00739 -0.284580,
00740 -0.306276,
00741 -0.334188,
00742 -0.367204,
00743 -0.404069,
00744 -0.443439,
00745 -0.483924,
00746 -0.524139,
00747 -0.562750,
00748 -0.598516,
00749 -0.630329,
00750 -0.657241,
00751 -0.678498,
00752 -0.693549,
00753 -0.702062,
00754 -0.703925,
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16149 -0.422862,
16150 -0.581960,
16151 -0.722052,
16152 -0.837974,
16153 -0.925345,
16154 -0.980694,
16155 -1.001550,
16156 -0.986512,
16157 -0.935273,
16158 -0.848620,
16159 -0.728395,
16160 -0.577431,
16161 -0.399454,
16162 -0.198962,
16163 0.018916,
16164 0.248578,
16165 0.484120,
16166 0.719513,
16167 0.948776,
16168 1.166152,
16169 1.366269,
16170 1.544286,
16171 1.696029,
16172 1.818094,
16173 1.907930,
16174 1.963904,
16175 1.985321,
16176 1.972432,
16177 1.926406,
16178 1.849280,
16179 1.743881,
16180 1.613734,
16181 1.462942,
16182 1.296064,
16183 1.117971,
16184 0.933705,
16185 0.748334,
16186 0.566808,
16187 0.393824,
16188 0.233702,
16189 0.090273,
16190 -0.033217,
16191 -0.134179,
16192 -0.210737,
16193 -0.261762,
16194 -0.286882,
16195 -0.286469,
16196 -0.261613,
16197 -0.214067,
16198 -0.146180,
16199 -0.060816,
16200 0.038743,
16201 0.148898,
16202 0.265844,
16203 0.385682,
16204 0.504530,
16205 0.618629,
16206 0.724445,
16207 0.818759,
16208 0.898750,
16209 0.962058,
16210 1.006837,
16211 1.031792,
16212 1.036198,
16213 1.019902,
16214 0.983317,
16215 0.927387,
16216 0.853554,
16217 0.763700,
16218 0.660088,
16219 0.545290,
16220 0.422110,
16221 0.293503,
16222 0.162495,
16223 0.032100,
16224 -0.094755,
16225 -0.215307,
16226 -0.327021,
16227 -0.427646,
16228 -0.515269,
16229 -0.588348,
16230 -0.645742,
16231 -0.686726,
16232 -0.710994,
16233 -0.718654,
16234 -0.710209,
16235 -0.686531,
16236 -0.648824,
16237 -0.598583,
16238 -0.537540,
16239 -0.467614,
16240 -0.390850,
16241 -0.309366,
16242 -0.225286,
16243 -0.140689,
16244 -0.057556,
16245 0.022286,
16246 0.097203,
16247 0.165792,
16248 0.226912,
16249 0.279706,
16250 0.323613,
16251 0.358375,
16252 0.384029,
16253 0.400897,
16254 0.409568,
16255 0.410865,
16256 0.405814,
16257 0.395603,
16258 0.381539,
16259 0.365002,
16260 0.347390,
16261 0.330078,
16262 0.314363,
16263 0.301424,
16264 0.292273,
16265 0.287724,
16266 0.288357,
16267 0.294500,
16268 0.306205,
16269 0.323245,
16270 0.345116,
16271 0.371042,
16272 0.400000,
16273 0.430740,
16274 0.461827,
16275 0.491677,
16276 0.518611,
16277 0.540901,
16278 0.556832,
16279 0.564754,
16280 0.563146,
16281 0.550664,
16282 0.526202,
16283 0.488933,
16284 0.438353,
16285 0.374312,
16286 0.297040,
16287 0.207159,
16288 0.105684,
16289 -0.005985,
16290 -0.126083,
16291 -0.252515,
16292 -0.382894,
16293 -0.514599,
16294 -0.644835,
16295 -0.770701,
16296 -0.889263,
16297 -0.997634,
16298 -1.093053,
16299 -1.172960,
16300 -1.235073,
16301 -1.277459,
16302 -1.298590,
16303 -1.297401,
16304 -1.273327,
16305 -1.226330,
16306 -1.156917,
16307 -1.066134,
16308 -0.955555,
16309 -0.827247,
16310 -0.683726,
16311 -0.527901,
16312 -0.362999,
16313 -0.192489,
16314 -0.019993,
16315 0.150810,
16316 0.316279,
16317 0.472908,
16318 0.617418,
16319 0.746847,
16320 0.858630,
16321 0.950666,
16322 1.021376,
16323 1.069743,
16324 1.095339,
16325 1.098329,
16326 1.079469,
16327 1.040070,
16328 0.981962,
16329 0.907434,
16330 0.819157,
16331 0.720107,
16332 0.613465,
16333 0.502523,
16334 0.390578,
16335 0.280834,
16336 0.176296,
16337 0.079685,
16338 -0.006649,
16339 -0.080799,
16340 -0.141353,
16341 -0.187439,
16342 -0.218742,
16343 -0.235513,
16344 -0.238547,
16345 -0.229157,
16346 -0.209116,
16347 -0.180594,
16348 -0.146077,
16349 -0.108273,
16350 -0.070013,
16351 -0.034150,
16352 -0.003447,
16353 0.019524,
16354 0.032477,
16355 0.033507,
16356 0.021163,
16357 -0.005493,
16358 -0.046834,
16359 -0.102652,
16360 -0.172144,
16361 -0.253932,
16362 -0.346097,
16363 -0.446235,
16364 -0.551527,
16365 -0.658827,
16366 -0.764764,
16367 -0.865852,
16368 -0.958605,
16369 -1.039655,
16370 -1.105870,
16371 -1.154463,
16372 -1.183096,
16373 -1.189963,
16374 -1.173867,
16375 -1.134272,
16376 -1.071332,
16377 -0.985907,
16378 -0.879545,
16379 -0.754450,
16380 -0.613423,
16381 -0.459784,
16382 -0.297280,
16383 -0.129971,
16384 0.037892,
16385 0.201997,
16386 0.358100,
16387 0.502165,
16388 0.630485,
16389 0.739806,
16390 0.827424,
16391 0.891284,
16392 0.930036,
16393 0.943089,
16394 0.930629,
16395 0.893616,
16396 0.833758,
16397 0.753452,
16398 0.655716,
16399 0.544088,
16400 0.422513,
16401 0.295218,
16402 0.166571,
16403 0.040945,
16404 -0.077432,
16405 -0.184610,
16406 -0.277050,
16407 -0.351739,
16408 -0.406291,
16409 -0.439024,
16410 -0.449018,
16411 -0.436142,
16412 -0.401061,
16413 -0.345214,
16414 -0.270759,
16415 -0.180508,
16416 -0.077822,
16417 0.033496,
16418 0.149337,
16419 0.265425,
16420 0.377466,
16421 0.481297,
16422 0.573033,
16423 0.649199,
16424 0.706862,
16425 0.743728,
16426 0.758234,
16427 0.749601,
16428 0.717874,
16429 0.663919,
16430 0.589409,
16431 0.496762,
16432 0.389071,
16433 0.269999,
16434 0.143653,
16435 0.014450,
16436 -0.113041,
16437 -0.234256,
16438 -0.344796,
16439 -0.440586,
16440 -0.518025,
16441 -0.574118,
16442 -0.606590,
16443 -0.613983,
16444 -0.595718,
16445 -0.552132,
16446 -0.484484,
16447 -0.394930,
16448 -0.286464,
16449 -0.162834,
16450 -0.028428,
16451 0.111863,
16452 0.252802,
16453 0.388976,
16454 0.514978,
16455 0.625586,
16456 0.715948,
16457 0.781751,
16458 0.819382,
16459 0.826058,
16460 0.799946,
16461 0.740245,
16462 0.647237,
16463 0.522304,
16464 0.367917,
16465 0.187579,
16466 -0.014259,
16467 -0.232312,
16468 -0.460611,
16469 -0.692667,
16470 -0.921662,
16471 -1.140648,
16472 -1.342758,
16473 -1.521409,
16474 -1.670513,
16475 -1.784658,
16476 -1.859289,
16477 -1.890850,
16478 -1.876908,
16479 -1.816236,
16480 -1.708872,
16481 -1.556128,
16482 -1.360570,
16483 -1.125959,
16484 -0.857154,
16485 -0.559984,
16486 -0.241092,
16487 0.092243,
16488 0.432313,
16489 0.771187,
16490 1.100931,
16491 1.413826,
16492 1.702582,
16493 1.960528,
16494 2.181797,
16495 2.361478,
16496 2.495737,
16497 2.581912,
16498 2.618568,
16499 2.605521,
16500 2.543812,
16501 2.435666,
16502 2.284396,
16503 2.094292,
16504 1.870475,
16505 1.618731,
16506 1.345332,
16507 1.056841,
16508 0.759916,
16509 0.461119,
16510 0.166728,
16511 -0.117436,
16512 -0.386160,
16513 -0.634964,
16514 -0.860210
16515 };
16516 
16517 const double Ricean::m_GAUSSIAN_DATA2[m_NUMBER_OF_POINTS] =
16518 {
16519 -0.304033,
16520 -0.338027,
16521 -0.364900,
16522 -0.384604,
16523 -0.397229,
16524 -0.403005,
16525 -0.402296,
16526 -0.395592,
16527 -0.383497,
16528 -0.366719,
16529 -0.346051,
16530 -0.322357,
16531 -0.296553,
16532 -0.269589,
16533 -0.242434,
16534 -0.216050,
16535 -0.191384,
16536 -0.169343,
16537 -0.150784,
16538 -0.136497,
16539 -0.127190,
16540 -0.123483,
16541 -0.125892,
16542 -0.134822,
16543 -0.150561,
16544 -0.173273,
16545 -0.202993,
16546 -0.239625,
16547 -0.282939,
16548 -0.332572,
16549 -0.388028,
16550 -0.448682,
16551 -0.513784,
16552 -0.582466,
16553 -0.653748,
16554 -0.726555,
16555 -0.799721,
16556 -0.872011,
16557 -0.942135,
16558 -1.008771,
16559 -1.070582,
16560 -1.126244,
16561 -1.174471,
16562 -1.214042,
16563 -1.243827,
16564 -1.262820,
16565 -1.270161,
16566 -1.265168,
16567 -1.247361,
16568 -1.216483,
16569 -1.172518,
16570 -1.115710,
16571 -1.046570,
16572 -0.965879,
16573 -0.874686,
16574 -0.774303,
16575 -0.666283,
16576 -0.552401,
16577 -0.434625,
16578 -0.315074,
16579 -0.195984,
16580 -0.079654,
16581 0.031603,
16582 0.135513,
16583 0.229900,
16584 0.312740,
16585 0.382215,
16586 0.436768,
16587 0.475147,
16588 0.496447,
16589 0.500144,
16590 0.486117,
16591 0.454667,
16592 0.406515,
16593 0.342801,
16594 0.265060,
16595 0.175196,
16596 0.075438,
16597 -0.031709,
16598 -0.143524,
16599 -0.257136,
16600 -0.369601,
16601 -0.477972,
16602 -0.579382,
16603 -0.671119,
16604 -0.750704,
16605 -0.815955,
16606 -0.865054,
16607 -0.896598,
16608 -0.909640,
16609 -0.903721,
16610 -0.878884,
16611 -0.835676,
16612 -0.775139,
16613 -0.698776,
16614 -0.608515,
16615 -0.506657,
16616 -0.395805,
16617 -0.278796,
16618 -0.158617,
16619 -0.038319,
16620 0.079074,
16621 0.190647,
16622 0.293685,
16623 0.385749,
16624 0.464749,
16625 0.528999,
16626 0.577271,
16627 0.608824,
16628 0.623424,
16629 0.621344,
16630 0.603352,
16631 0.570679,
16632 0.524975,
16633 0.468252,
16634 0.402811,
16635 0.331165,
16636 0.255949,
16637 0.179836,
16638 0.105437,
16639 0.035217,
16640 -0.028592,
16641 -0.084066,
16642 -0.129659,
16643 -0.164254,
16644 -0.187203,
16645 -0.198351,
16646 -0.198040,
16647 -0.187097,
16648 -0.166809,
16649 -0.138875,
16650 -0.105346,
16651 -0.068555,
16652 -0.031029,
16653 0.004599,
16654 0.035688,
16655 0.059687,
16656 0.074232,
16657 0.077235,
16658 0.066971,
16659 0.042145,
16660 0.001953,
16661 -0.053875,
16662 -0.125055,
16663 -0.210742,
16664 -0.309541,
16665 -0.419546,
16666 -0.538387,
16667 -0.663299,
16668 -0.791211,
16669 -0.918831,
16670 -1.042762,
16671 -1.159604,
16672 -1.266073,
16673 -1.359110,
16674 -1.435984,
16675 -1.494397,
16676 -1.532561,
16677 -1.549272,
16678 -1.543960,
16679 -1.516723,
16680 -1.468333,
16681 -1.400232,
16682 -1.314489,
16683 -1.213755,
16684 -1.101183,
16685 -0.980337,
16686 -0.855088,
16687 -0.729493,
16688 -0.607672,
16689 -0.493673,
16690 -0.391352,
16691 -0.304237,
16692 -0.235420,
16693 -0.187449,
16694 -0.162243,
16695 -0.161020,
16696 -0.184252,
16697 -0.231641,
16698 -0.302118,
16699 -0.393868,
16700 -0.504380,
16701 -0.630517,
16702 -0.768606,
16703 -0.914553,
16704 -1.063959,
16705 -1.212262,
16706 -1.354874,
16707 -1.487321,
16708 -1.605391,
16709 -1.705258,
16710 -1.783607,
16711 -1.837742,
16712 -1.865668,
16713 -1.866161,
16714 -1.838804,
16715 -1.784008,
16716 -1.702999,
16717 -1.597781,
16718 -1.471081,
16719 -1.326259,
16720 -1.167210,
16721 -0.998241,
16722 -0.823938,
16723 -0.649026,
16724 -0.478224,
16725 -0.316097,
16726 -0.166915,
16727 -0.034527,
16728 0.077756,
16729 0.167265,
16730 0.232043,
16731 0.270903,
16732 0.283459,
16733 0.270124,
16734 0.232094,
16735 0.171292,
16736 0.090305,
16737 -0.007715,
16738 -0.119155,
16739 -0.240070,
16740 -0.366317,
16741 -0.493689,
16742 -0.618062,
16743 -0.735525,
16744 -0.842510,
16745 -0.935909,
16746 -1.013164,
16747 -1.072355,
16748 -1.112245,
16749 -1.132318,
16750 -1.132784,
16751 -1.114555,
16752 -1.079205,
16753 -1.028904,
16754 -0.966325,
16755 -0.894546,
16756 -0.816927,
16757 -0.736986,
16758 -0.658264,
16759 -0.584192,
16760 -0.517967,
16761 -0.462429,
16762 -0.419959,
16763 -0.392387,
16764 -0.380928,
16765 -0.386135,
16766 -0.407878,
16767 -0.445350,
16768 -0.497095,
16769 -0.561067,
16770 -0.634698,
16771 -0.715005,
16772 -0.798693,
16773 -0.882288,
16774 -0.962263,
16775 -1.035180,
16776 -1.097825,
16777 -1.147329,
16778 -1.181293,
16779 -1.197885,
16780 -1.195921,
16781 -1.174926,
16782 -1.135166,
16783 -1.077654,
16784 -1.004132,
16785 -0.917020,
16786 -0.819346,
16787 -0.714644,
16788 -0.606839,
16789 -0.500112,
16790 -0.398751,
16791 -0.306995,
16792 -0.228883,
16793 -0.168091,
16794 -0.127795,
16795 -0.110534,
16796 -0.118102,
16797 -0.151454,
16798 -0.210647,
16799 -0.294804,
16800 -0.402110,
16801 -0.529846,
16802 -0.674444,
16803 -0.831583,
16804 -0.996302,
16805 -1.163149,
16806 -1.326340,
16807 -1.479941,
16808 -1.618052,
16809 -1.735005,
16810 -1.825549,
16811 -1.885035,
16812 -1.909580,
16813 -1.896216,
16814 -1.843009,
16815 -1.749155,
16816 -1.615035,
16817 -1.442239,
16818 -1.233555,
16819 -0.992915,
16820 -0.725312,
16821 -0.436679,
16822 -0.133735,
16823 0.176190,
16824 0.485353,
16825 0.785817,
16826 1.069670,
16827 1.329257,
16828 1.557394,
16829 1.747589,
16830 1.894230,
16831 1.992753,
16832 2.039790,
16833 2.033272,
16834 1.972499,
16835 1.858178,
16836 1.692410,
16837 1.478641,
16838 1.221579,
16839 0.927067,
16840 0.601924,
16841 0.253767,
16842 -0.109206,
16843 -0.478431,
16844 -0.845222,
16845 -1.200999,
16846 -1.537529,
16847 -1.847147,
16848 -2.122958,
16849 -2.359020,
16850 -2.550498,
16851 -2.693785,
16852 -2.786579,
16853 -2.827934,
16854 -2.818262,
16855 -2.759297,
16856 -2.654023,
16857 -2.506566,
16858 -2.322054,
16859 -2.106445,
16860 -1.866344,
16861 -1.608790,
16862 -1.341047,
16863 -1.070383,
16864 -0.803854,
16865 -0.548105,
16866 -0.309180,
16867 -0.092357,
16868 0.097991,
16869 0.258502,
16870 0.386899,
16871 0.482028,
16872 0.543865,
16873 0.573478,
16874 0.572960,
16875 0.545335,
16876 0.494428,
16877 0.424719,
16878 0.341175,
16879 0.249067,
16880 0.153790,
16881 0.060672,
16882 -0.025207,
16883 -0.099181,
16884 -0.157153,
16885 -0.195729,
16886 -0.212319,
16887 -0.205218,
16888 -0.173655,
16889 -0.117805,
16890 -0.038773,
16891 0.061450,
16892 0.180064,
16893 0.313562,
16894 0.457852,
16895 0.608404,
16896 0.760399,
16897 0.908894,
16898 1.048989,
16899 1.175988,
16900 1.285556,
16901 1.373855,
16902 1.437676,
16903 1.474532,
16904 1.482748,
16905 1.461502,
16906 1.410855,
16907 1.331748,
16908 1.225964,
16909 1.096076,
16910 0.945359,
16911 0.777690,
16912 0.597424,
16913 0.409260,
16914 0.218097,
16915 0.028884,
16916 -0.153527,
16917 -0.324524,
16918 -0.479868,
16919 -0.615816,
16920 -0.729221,
16921 -0.817615,
16922 -0.879273,
16923 -0.913245,
16924 -0.919375,
16925 -0.898284,
16926 -0.851339,
16927 -0.780593,
16928 -0.688712,
16929 -0.578882,
16930 -0.454699,
16931 -0.320059,
16932 -0.179030,
16933 -0.035735,
16934 0.105776,
16935 0.241638,
16936 0.368276,
16937 0.482506,
16938 0.581609,
16939 0.663394,
16940 0.726246,
16941 0.769150,
16942 0.791696,
16943 0.794071,
16944 0.777024,
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27