├── Problem_Statement.pdf ├── Xtensa Project Report.pdf ├── README.md ├── noise_in.txt ├── Beamformer.cpp ├── beamformer_singlewindow.c ├── window_prev.txt └── window_in.txt /Problem_Statement.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/farhadmohsin/Robust-Adaptive-Beamforming/HEAD/Problem_Statement.pdf -------------------------------------------------------------------------------- /Xtensa Project Report.pdf: -------------------------------------------------------------------------------- https://raw.githubusercontent.com/farhadmohsin/Robust-Adaptive-Beamforming/HEAD/Xtensa Project Report.pdf -------------------------------------------------------------------------------- /README.md: -------------------------------------------------------------------------------- 1 | # Robust-Adaptive-Beamforming 2 | 3 | A robust and optimized system architecture has been developed and designed for adaptive beamformer with a Microphone Array. The system includes following subsystems - 4 | MMSE STSA Estimator, DOI (Direction of Interest) Estimator and an Adaptive Beamformer. 5 | The system architecture had been implemented and tested for Xtensa Processor which was configured for HiFi-2 DSP Standard for audio 6 | processing. 7 | 8 | This work was done as participants of the Cadence Design Contest. A variant of this work was submitted and accepted in the 2015 18th International Conference on Computer and Information Technology (ICCIT). A raw report written before the submission in the conference has been included in the repo. 9 | https://ieeexplore.ieee.org/abstract/document/7488064 10 | 11 | The repository consists of three items. 12 | 13 | 1. beamformer_singlewindow.c: This code was done specifically for the HiFi-2 DSP Processor. We provide with inputs for this code as well. 14 | 2. The input for the code are text files, defining the audio input. 15 | - window_in: eight arrays of double precision point variables of size 512. These are the current window's input from the eight channels. 16 | - window_prev: This carries eight arrays of 307 double precision point variables. This arrays contain values provided from the run of the previous window. For the first window's run, these arrays need to be set at 0. 17 | This file next carries an array, Y of (512-307) = 205 elements, that are also carried from the output of the last run. This, again is initialized as 0 for the first window. 18 | - noise_in: This is the noise spectrum estimated from the silent zone for the use of MMSE. This contains two arrays of 257 elements, Noise and Lambda. 19 | These noise could be generated easily from code defined in Beamformer.cpp, lines 70 onwards. 20 | 21 | 3. Beamformer.cpp: This contains a .cpp code, executable and easily convertible to Xtensa processor's need. The code is full of comments, to ensure understanding. 22 | This code runs for a number of windows at once and gives a complete audio output. 23 | The I/O for this file is defined in the code comment section. 24 | -------------------------------------------------------------------------------- /noise_in.txt: -------------------------------------------------------------------------------- 1 | 1.509523 2 | 1.304989 3 | 0.839307 4 | 0.597788 5 | 0.465134 6 | 0.442682 7 | 0.385063 8 | 0.384965 9 | 0.275900 10 | 0.285803 11 | 0.307965 12 | 0.262875 13 | 0.215777 14 | 0.264844 15 | 0.269245 16 | 0.288515 17 | 0.327395 18 | 0.280053 19 | 0.257424 20 | 0.173949 21 | 0.214350 22 | 0.184556 23 | 0.238887 24 | 0.220731 25 | 0.227882 26 | 0.215719 27 | 0.212213 28 | 0.241708 29 | 0.215678 30 | 0.181583 31 | 0.188735 32 | 0.184439 33 | 0.156388 34 | 0.175396 35 | 0.180500 36 | 0.201249 37 | 0.219782 38 | 0.204371 39 | 0.245023 40 | 0.275672 41 | 0.181388 42 | 0.171975 43 | 0.160601 44 | 0.171203 45 | 0.161496 46 | 0.206178 47 | 0.205300 48 | 0.151303 49 | 0.180797 50 | 0.205883 51 | 0.163346 52 | 0.181666 53 | 0.185488 54 | 0.158193 55 | 0.152566 56 | 0.162190 57 | 0.141866 58 | 0.163047 59 | 0.171489 60 | 0.153171 61 | 0.145587 62 | 0.175584 63 | 0.151327 64 | 0.131078 65 | 0.126799 66 | 0.120285 67 | 0.142873 68 | 0.117347 69 | 0.127128 70 | 0.157276 71 | 0.140299 72 | 0.105646 73 | 0.133013 74 | 0.147050 75 | 0.119866 76 | 0.116139 77 | 0.121419 78 | 0.114967 79 | 0.107129 80 | 0.134693 81 | 0.144436 82 | 0.135499 83 | 0.125023 84 | 0.120518 85 | 0.127417 86 | 0.169317 87 | 0.171036 88 | 0.174453 89 | 0.137890 90 | 0.118638 91 | 0.123173 92 | 0.129133 93 | 0.109300 94 | 0.094296 95 | 0.086931 96 | 0.115519 97 | 0.127864 98 | 0.131785 99 | 0.117266 100 | 0.131686 101 | 0.106989 102 | 0.097910 103 | 0.136310 104 | 0.127367 105 | 0.141460 106 | 0.129563 107 | 0.113329 108 | 0.152705 109 | 0.134584 110 | 0.112746 111 | 0.116504 112 | 0.126103 113 | 0.107649 114 | 0.104751 115 | 0.100470 116 | 0.115832 117 | 0.113253 118 | 0.113884 119 | 0.130920 120 | 0.148193 121 | 0.142395 122 | 0.162170 123 | 0.153815 124 | 0.158873 125 | 0.161687 126 | 0.131313 127 | 0.108341 128 | 0.118030 129 | 0.116506 130 | 0.127966 131 | 0.125606 132 | 0.119857 133 | 0.110704 134 | 0.115936 135 | 0.122517 136 | 0.127257 137 | 0.138769 138 | 0.157084 139 | 0.132968 140 | 0.116395 141 | 0.138048 142 | 0.122989 143 | 0.099812 144 | 0.120044 145 | 0.121884 146 | 0.102071 147 | 0.136934 148 | 0.119720 149 | 0.095240 150 | 0.097647 151 | 0.112606 152 | 0.095017 153 | 0.121444 154 | 0.100516 155 | 0.090679 156 | 0.131590 157 | 0.147519 158 | 0.135008 159 | 0.129346 160 | 0.106204 161 | 0.112341 162 | 0.114928 163 | 0.105035 164 | 0.106569 165 | 0.123264 166 | 0.107866 167 | 0.127555 168 | 0.108057 169 | 0.117059 170 | 0.104170 171 | 0.104588 172 | 0.132107 173 | 0.128349 174 | 0.138169 175 | 0.133761 176 | 0.101299 177 | 0.093965 178 | 0.110086 179 | 0.108911 180 | 0.097185 181 | 0.119110 182 | 0.125994 183 | 0.138334 184 | 0.116707 185 | 0.120629 186 | 0.101240 187 | 0.114401 188 | 0.097739 189 | 0.103215 190 | 0.116492 191 | 0.095980 192 | 0.089513 193 | 0.102323 194 | 0.133914 195 | 0.112689 196 | 0.094524 197 | 0.086328 198 | 0.080962 199 | 0.106033 200 | 0.117551 201 | 0.080834 202 | 0.111251 203 | 0.130663 204 | 0.112991 205 | 0.095460 206 | 0.109209 207 | 0.111189 208 | 0.119319 209 | 0.138810 210 | 0.137058 211 | 0.118271 212 | 0.100650 213 | 0.108730 214 | 0.109379 215 | 0.099564 216 | 0.084336 217 | 0.080094 218 | 0.132350 219 | 0.122535 220 | 0.115156 221 | 0.139104 222 | 0.121537 223 | 0.112111 224 | 0.094829 225 | 0.109814 226 | 0.104176 227 | 0.121343 228 | 0.128948 229 | 0.118380 230 | 0.124611 231 | 0.110954 232 | 0.093099 233 | 0.115672 234 | 0.126104 235 | 0.114025 236 | 0.104548 237 | 0.127096 238 | 0.124580 239 | 0.101501 240 | 0.099436 241 | 0.103148 242 | 0.110276 243 | 0.104318 244 | 0.109663 245 | 0.122371 246 | 0.129994 247 | 0.129626 248 | 0.076361 249 | 0.103840 250 | 0.099745 251 | 0.083924 252 | 0.098537 253 | 0.128245 254 | 0.110132 255 | 0.099001 256 | 0.117491 257 | 0.113469 258 | 2.952962 259 | 2.073910 260 | 0.878976 261 | 0.442110 262 | 0.267085 263 | 0.236428 264 | 0.173450 265 | 0.170236 266 | 0.091583 267 | 0.091369 268 | 0.118213 269 | 0.081002 270 | 0.054560 271 | 0.090050 272 | 0.106103 273 | 0.111772 274 | 0.153277 275 | 0.094920 276 | 0.080345 277 | 0.041771 278 | 0.054912 279 | 0.044408 280 | 0.067230 281 | 0.058733 282 | 0.065255 283 | 0.059983 284 | 0.057216 285 | 0.069368 286 | 0.061994 287 | 0.040183 288 | 0.042787 289 | 0.045856 290 | 0.035208 291 | 0.037126 292 | 0.041074 293 | 0.052331 294 | 0.057514 295 | 0.052951 296 | 0.077742 297 | 0.088422 298 | 0.040858 299 | 0.036955 300 | 0.035755 301 | 0.035850 302 | 0.031026 303 | 0.047479 304 | 0.055873 305 | 0.031453 306 | 0.039408 307 | 0.046783 308 | 0.044057 309 | 0.042052 310 | 0.037369 311 | 0.031191 312 | 0.029674 313 | 0.033176 314 | 0.026706 315 | 0.038189 316 | 0.035372 317 | 0.027801 318 | 0.032095 319 | 0.035627 320 | 0.028428 321 | 0.025420 322 | 0.018326 323 | 0.017837 324 | 0.024004 325 | 0.018642 326 | 0.022423 327 | 0.029624 328 | 0.023350 329 | 0.013417 330 | 0.018918 331 | 0.027280 332 | 0.018434 333 | 0.015579 334 | 0.018321 335 | 0.014343 336 | 0.013915 337 | 0.024718 338 | 0.026889 339 | 0.024197 340 | 0.018062 341 | 0.020738 342 | 0.018440 343 | 0.036462 344 | 0.034336 345 | 0.039180 346 | 0.024079 347 | 0.016872 348 | 0.018128 349 | 0.022483 350 | 0.012819 351 | 0.011143 352 | 0.010541 353 | 0.019703 354 | 0.019968 355 | 0.019710 356 | 0.016573 357 | 0.023142 358 | 0.014561 359 | 0.012863 360 | 0.019768 361 | 0.019383 362 | 0.025573 363 | 0.020936 364 | 0.017378 365 | 0.026961 366 | 0.022529 367 | 0.016845 368 | 0.020054 369 | 0.019564 370 | 0.016653 371 | 0.014240 372 | 0.011882 373 | 0.015557 374 | 0.015802 375 | 0.016820 376 | 0.022901 377 | 0.025281 378 | 0.024447 379 | 0.030821 380 | 0.026188 381 | 0.029943 382 | 0.034037 383 | 0.023530 384 | 0.013297 385 | 0.016638 386 | 0.017864 387 | 0.022709 388 | 0.023895 389 | 0.017978 390 | 0.014567 391 | 0.016936 392 | 0.017377 393 | 0.019726 394 | 0.021598 395 | 0.029012 396 | 0.022078 397 | 0.017844 398 | 0.023424 399 | 0.018111 400 | 0.012411 401 | 0.017296 402 | 0.019375 403 | 0.012766 404 | 0.022950 405 | 0.020568 406 | 0.011083 407 | 0.011203 408 | 0.013916 409 | 0.012102 410 | 0.018882 411 | 0.014478 412 | 0.011624 413 | 0.024473 414 | 0.023429 415 | 0.020571 416 | 0.020075 417 | 0.016312 418 | 0.015453 419 | 0.014849 420 | 0.012954 421 | 0.014347 422 | 0.016195 423 | 0.012566 424 | 0.022131 425 | 0.018604 426 | 0.018621 427 | 0.012338 428 | 0.014061 429 | 0.021104 430 | 0.017851 431 | 0.021832 432 | 0.021595 433 | 0.013058 434 | 0.010618 435 | 0.014137 436 | 0.013764 437 | 0.011714 438 | 0.017647 439 | 0.020249 440 | 0.020974 441 | 0.015897 442 | 0.017293 443 | 0.014123 444 | 0.015326 445 | 0.011716 446 | 0.012857 447 | 0.014599 448 | 0.011626 449 | 0.012443 450 | 0.015037 451 | 0.022371 452 | 0.014317 453 | 0.012828 454 | 0.008492 455 | 0.008141 456 | 0.015454 457 | 0.017416 458 | 0.008884 459 | 0.016813 460 | 0.019741 461 | 0.016779 462 | 0.011737 463 | 0.017870 464 | 0.014847 465 | 0.017827 466 | 0.024199 467 | 0.020989 468 | 0.018733 469 | 0.013728 470 | 0.015164 471 | 0.014017 472 | 0.013433 473 | 0.008281 474 | 0.008900 475 | 0.020085 476 | 0.018497 477 | 0.017659 478 | 0.021348 479 | 0.019294 480 | 0.016825 481 | 0.010100 482 | 0.015624 483 | 0.014578 484 | 0.017368 485 | 0.020750 486 | 0.016119 487 | 0.018670 488 | 0.015602 489 | 0.010823 490 | 0.016620 491 | 0.018135 492 | 0.015667 493 | 0.013980 494 | 0.018940 495 | 0.018597 496 | 0.012735 497 | 0.012794 498 | 0.013602 499 | 0.015284 500 | 0.014410 501 | 0.017510 502 | 0.019399 503 | 0.019704 504 | 0.019493 505 | 0.008017 506 | 0.012959 507 | 0.012023 508 | 0.008128 509 | 0.012871 510 | 0.020048 511 | 0.014295 512 | 0.012032 513 | 0.016233 514 | 0.021067 515 | -------------------------------------------------------------------------------- /Beamformer.cpp: -------------------------------------------------------------------------------- 1 | /* 2 | This code takes as input the audio from 8 channel. 3 | The audio clips are taken as a structure, that consists of three elements. 4 | int samples - the number of samples in each audio channel 5 | int Fs - the sampling frequency 6 | double sig[] - the audio samples 7 | 8 | The maximum sample number for this code is 80000 which can be changed by changing the #define Length pre-processor line 9 | */ 10 | 11 | #include 12 | #include 13 | #include 14 | 15 | #define Length 80006 16 | #define J 40 //Filter tap length 17 | #define M 8 //Number of input channels 18 | #define MJ 320 19 | #define win_length 512 20 | #define fft_length 1024 21 | #define win_by2_plus1 257 22 | #define win_inc 307 23 | #define Lgs 37 24 | #define LG 289 25 | #define PI 3.1415926535 26 | #define EPS 0.00001 27 | 28 | #define abss(x) ((x>0)?(x):(-x)) 29 | 30 | // Audio Structure 31 | struct Audio 32 | { 33 | int samples, Fs; 34 | double sig[Length]; 35 | }sigArray[8]; 36 | 37 | void spline(double y[],double yy[]); 38 | double bessi0( double x ); 39 | double bessi1( double x ); 40 | void FFT(int dir, long m, double xr[], double xi[]); 41 | 42 | double cof_spline[M*M*LG]; 43 | 44 | int main( int argc, char **argv ) 45 | { 46 | int i,j,k; 47 | int m; 48 | int win_count = 1; 49 | FILE *f_in,*f_out; 50 | if((f_in = fopen("sigArray.txt", "r")) == NULL) 51 | { 52 | printf("Error reading input file"); 53 | return 0; 54 | } 55 | for(i=0;i<8;i++) 56 | { 57 | fscanf(f_in,"%d%d",&sigArray[i].Fs,&sigArray[i].samples); 58 | for(j=0;j1) mul = gammanew - 1; 187 | else mul = 0; 188 | xi = alpha * (G[j]*G[j]) * Gamma[j] + (1-alpha)*mul; 189 | Gamma[j] = gammanew; 190 | nu = Gamma[j] * xi / (1+xi); 191 | if(nu/2 > 708) 192 | G[j] = xi / (1+xi); 193 | else 194 | { 195 | G[j] = gamma1p5*sqrt(nu)/Gamma[j]*exp(-nu/2.0); 196 | G[j] *= ((1+nu)*bessi0(nu/2) + nu*bessi1(nu/2)); 197 | } 198 | 199 | Specr[j] = G[j] * sqrt(Yabs) * cos(Yphase); 200 | Speci[j] = G[j] * sqrt(Yabs) * sin(Yphase); 201 | } 202 | for(j=1;j 1) 323 | DOI = 7.5 * PI / 180.0; 324 | else if(coss < -1) 325 | DOI = (172.5) * PI / 180.0; 326 | else 327 | DOI = acos(coss); 328 | printf("%lf %lf\n",DOI*180/PI,mini_lag); 329 | 330 | //Frost Beamforming Part 331 | 332 | double sample_delay[8]; 333 | double out[win_length] = {0}; //Final output 334 | if(DOI <= PI/2.0) 335 | for(i=0;i=0;j--) 368 | { 369 | temp = ((n-N+j)>=0?sigout[n-N+j][i]:prev_sigout[win_inc+n-N+j][i]); 370 | XX[i][0] += h[N-j]*temp; 371 | } 372 | else 373 | for(j=0;j0;i--) 482 | m[i] = (D[i] - c[i]*m[i+1])/b[i]; 483 | m[0] = (D[0]-c[0]*m[1]-d0*m[2])/b[0]; 484 | int C = 0; 485 | double L,t,s0=0,s1=0,s2=0,s3=0; 486 | for(double lag = -18;lag<=18;lag+=0.125,C++) 487 | { 488 | if(!(C%8)) 489 | { 490 | i = C/8; 491 | yy[C] = y[i]; 492 | L = C/8 - 18; 493 | if(L==18) 494 | continue; 495 | s1 = (y[i+1]-y[i]) - (2*m[i]+m[i+1])/6; 496 | s2 = m[i]/2; 497 | s3 = (m[i+1]-m[i])/6; 498 | 499 | continue; 500 | } 501 | s0 = y[i]; 502 | t = lag - L; 503 | 504 | yy[C] = s0 + t*(s1 + t*(s2+s3*t)); 505 | } 506 | return; 507 | } 508 | 509 | 510 | double bessi0( double x ) 511 | { 512 | double ax,ans; 513 | double y; 514 | if ((ax=fabs(x)) < 3.75) 515 | { 516 | y=x/3.75,y=y*y; 517 | ans=1.0+y*(3.5156229+y*(3.0899424+y*(1.2067492 518 | +y*(0.2659732+y*(0.360768e-1+y*0.45813e-2))))); 519 | } 520 | else 521 | { 522 | y=3.75/ax; 523 | ans=(exp(ax)/sqrt(ax))*(0.39894228+y*(0.1328592e-1 524 | +y*(0.225319e-2+y*(-0.157565e-2+y*(0.916281e-2 525 | +y*(-0.2057706e-1+y*(0.2635537e-1+y*(-0.1647633e-1 526 | +y*0.392377e-2)))))))); 527 | } 528 | return ans; 529 | } 530 | 531 | double bessi1( double x ) 532 | { 533 | double ax,ans; 534 | double y; 535 | if ((ax=fabs(x)) < 3.75) 536 | { 537 | y=x/3.75,y=y*y; 538 | ans=ax*(0.5+y*(0.87890594+y*(0.51498869+y*(0.15084934 539 | +y*(0.2658733e-1+y*(0.301532e-2+y*0.32411e-3)))))); 540 | } 541 | else 542 | { 543 | y=3.75/ax; 544 | ans=0.2282967e-1+y*(-0.2895312e-1+y*(0.1787654e-1 545 | -y*0.420059e-2)); 546 | ans=0.39894228+y*(-0.3988024e-1+y*(-0.362018e-2 547 | +y*(0.163801e-2+y*(-0.1031555e-1+y*ans)))); 548 | ans *= (exp(ax)/sqrt(ax)); 549 | } 550 | return x < 0.0 ? -ans : ans; 551 | } 552 | 553 | void FFT(int dir, long m, double xr[], double xi[]) 554 | { 555 | long i, i1, i2,j, k, l, l1, l2, n; 556 | double txr, txi, t1r, t1i, ur, ui, cr, ci,temp,z; 557 | n = 1; 558 | for(i = 0; i < m; i++) 559 | n <<= 1; 560 | i2 = n >> 1; 561 | j = 0; 562 | for (i = 0; i < n-1 ; i++) 563 | { 564 | if (i < j) 565 | { 566 | temp = xr[i]; 567 | xr[i] = xr[j]; 568 | xr[j] = temp; 569 | temp = xi[i]; 570 | xi[i] = xi[j]; 571 | xi[j] = temp; 572 | } 573 | k = i2; 574 | while (k <= j) 575 | { 576 | j -= k; 577 | k >>= 1; 578 | } 579 | j += k; 580 | } 581 | cr = -1.0; 582 | ci = 0.0; 583 | l2 = 1; 584 | for (l = 0; l < m; l++) 585 | { 586 | l1 = l2; 587 | l2 <<= 1; 588 | ur = 1.0; 589 | ui = 0.0; 590 | for (j = 0; j < l1; j++) 591 | { 592 | for (i = j; i < n; i += l2) 593 | { 594 | i1 = i + l1; 595 | t1r = ur*xr[i1] - ui*xi[i1]; 596 | t1i = ur*xi[i1] + ui*xr[i1]; 597 | xr[i1] = xr[i] - t1r; 598 | xi[i1] = xi[i] - t1i; 599 | xr[i] += t1r; 600 | xi[i] += t1i; 601 | } 602 | z = ur*cr - ui*ci; 603 | ui = ur*ci + ui*cr; 604 | ur = z; 605 | } 606 | ci = (sqrt((1.0 - cr) / 2.0)); 607 | if (dir == 1) 608 | ci *= -1; 609 | cr = (sqrt((1.0 + cr) / 2.0)); 610 | } 611 | if (dir == -1) 612 | { 613 | for (i = 0; i < n; i++) 614 | { 615 | xr[i] /= n; 616 | xi[i] /= n; 617 | } 618 | } 619 | return; 620 | } 621 | -------------------------------------------------------------------------------- /beamformer_singlewindow.c: -------------------------------------------------------------------------------- 1 | #include 2 | #include 3 | #include 4 | #include 5 | #include 6 | #include 7 | 8 | #define Length 1024 9 | #define J 40 //Filter tap length 10 | #define M 8 //Number of input channels 11 | #define MJ 320 12 | #define win_length 512 13 | #define fft_length 1024 14 | #define win_by2_plus1 257 15 | #define win_inc 307 16 | #define Lgs 37 17 | #define LG 289 18 | #define PI 3.1415926535 19 | #define EPS 0.00001 20 | 21 | #define abss(x) ((x>0)?(x):(-x)) 22 | 23 | void spline(double y[],double yy[]); 24 | double bessi0( double x ); 25 | double bessi1( double x ); 26 | void FFT(int dir, long m, double xr[], double xi[]); 27 | 28 | double cof_spline[M*M*LG]; 29 | 30 | int main( int argc, char **argv ) 31 | { 32 | //Array Init 33 | int i,j,k; 34 | int m; 35 | int win_count = 1; 36 | double Noise[win_by2_plus1], Lambda[win_by2_plus1]; 37 | 38 | double sigout[win_length][M],prev_sigout[win_length][M] = {0}; 39 | double SIGOUTR[fft_length*8]={0},SIGOUTI[fft_length*8]={0}; 40 | double Ysqr[win_by2_plus1],Yphase[win_by2_plus1]; 41 | double gammanew[win_by2_plus1],xi[win_by2_plus1],nu[win_by2_plus1]; 42 | double ctr[fft_length],cti[fft_length]; 43 | 44 | //initialize WW 45 | double WW[MJ] = {0}; 46 | //initalize YY 47 | double YY[Length]; 48 | 49 | // MAKING SURE THAT SIMULATOR IS FAST FUNCTIONAL 50 | xt_iss_client_command("profile", "disable"); 51 | xt_iss_switch_mode(XT_ISS_FUNCTIONAL); 52 | 53 | FILE *f_in,*f_out; 54 | if((f_in = fopen("noise_in.txt", "r")) == NULL) 55 | { 56 | printf("Error reading input file"); 57 | return 0; 58 | } 59 | for(i=0;i1) mul = gammanew[j] - 1; 155 | else mul = 0; 156 | xi[j] = alpha * (G[j]*G[j]) * Gamma[j] + (1-alpha)*mul; 157 | Gamma[j] = gammanew[j]; 158 | nu[j] = Gamma[j] * xi[j] / (1+xi[j]); 159 | if(nu[j]/2 > 708) 160 | G[j] = xi[j] / (1+xi[j]); 161 | else 162 | { 163 | G[j] = gamma1p5*sqrt(nu[j])/Gamma[j]*exp(-nu[j]/2.0); 164 | G[j] *= ((1+nu[j])*bessi0(nu[j]/2) + nu[j]*bessi1(nu[j]/2)); 165 | } 166 | 167 | Specr[j] = G[j] * sqrt(Ysqr[j]) * cos(Yphase[j]); 168 | Speci[j] = G[j] * sqrt(Ysqr[j]) * sin(Yphase[j]); 169 | } 170 | for(j=1;j 1) 294 | DOI = 7.5 * PI / 180.0; 295 | else if(coss < -1) 296 | DOI = (172.5) * PI / 180.0; 297 | else 298 | DOI = acos(coss); 299 | //printf("%lf %lf\n",DOI*180/PI,mini_lag); 300 | 301 | //DONE 302 | 303 | //Frost Beamforming 304 | 305 | double sample_delay[8]; 306 | double out[win_length] = {0}; //Final output 307 | if(DOI <= PI/2.0) 308 | for(i=0;i=0;j--) 341 | { 342 | temp = ((n-N+j)>=0?sigout[n-N+j][i]:prev_sigout[win_inc+n-N+j][i]); 343 | XX[i][0] += h[N-j]*temp; 344 | } 345 | else 346 | for(j=0;j0;i--) 462 | m[i] = (D[i] - c[i]*m[i+1])/b[i]; 463 | m[0] = (D[0]-c[0]*m[1]-d0*m[2])/b[0]; 464 | int C = 0; 465 | double L,t,s0=0,s1=0,s2=0,s3=0; 466 | double lag; 467 | for(lag = -18;lag<=18;lag+=0.125,C++) 468 | { 469 | if(!(C%8)) 470 | { 471 | i = C/8; 472 | yy[C] = y[i]; 473 | L = C/8 - 18; 474 | if(L==18) 475 | continue; 476 | s1 = (y[i+1]-y[i]) - (2*m[i]+m[i+1])/6; 477 | s2 = m[i]/2; 478 | s3 = (m[i+1]-m[i])/6; 479 | 480 | continue; 481 | } 482 | s0 = y[i]; 483 | t = lag - L; 484 | 485 | yy[C] = s0 + t*(s1 + t*(s2+s3*t)); 486 | } 487 | return; 488 | } 489 | 490 | 491 | double bessi0( double x ) 492 | { 493 | double ax,ans; 494 | double y; 495 | if ((ax=fabs(x)) < 3.75) 496 | { 497 | y=x/3.75,y=y*y; 498 | ans=1.0+y*(3.5156229+y*(3.0899424+y*(1.2067492 499 | +y*(0.2659732+y*(0.360768e-1+y*0.45813e-2))))); 500 | } 501 | else 502 | { 503 | y=3.75/ax; 504 | ans=(exp(ax)/sqrt(ax))*(0.39894228+y*(0.1328592e-1 505 | +y*(0.225319e-2+y*(-0.157565e-2+y*(0.916281e-2 506 | +y*(-0.2057706e-1+y*(0.2635537e-1+y*(-0.1647633e-1 507 | +y*0.392377e-2)))))))); 508 | } 509 | return ans; 510 | } 511 | 512 | double bessi1( double x ) 513 | { 514 | double ax,ans; 515 | double y; 516 | if ((ax=fabs(x)) < 3.75) 517 | { 518 | y=x/3.75,y=y*y; 519 | ans=ax*(0.5+y*(0.87890594+y*(0.51498869+y*(0.15084934 520 | +y*(0.2658733e-1+y*(0.301532e-2+y*0.32411e-3)))))); 521 | } 522 | else 523 | { 524 | y=3.75/ax; 525 | ans=0.2282967e-1+y*(-0.2895312e-1+y*(0.1787654e-1 526 | -y*0.420059e-2)); 527 | ans=0.39894228+y*(-0.3988024e-1+y*(-0.362018e-2 528 | +y*(0.163801e-2+y*(-0.1031555e-1+y*ans)))); 529 | ans *= (exp(ax)/sqrt(ax)); 530 | } 531 | return x < 0.0 ? -ans : ans; 532 | } 533 | 534 | void FFT(int dir, long m, double xr[], double xi[]) 535 | { 536 | long i, i1, i2,j, k, l, l1, l2, n; 537 | double txr, txi, t1r, t1i, ur, ui, cr, ci,temp,z; 538 | n = 1; 539 | for(i = 0; i < m; i++) 540 | n <<= 1; 541 | i2 = n >> 1; 542 | j = 0; 543 | for (i = 0; i < n-1 ; i++) 544 | { 545 | if (i < j) 546 | { 547 | temp = xr[i]; 548 | xr[i] = xr[j]; 549 | xr[j] = temp; 550 | temp = xi[i]; 551 | xi[i] = xi[j]; 552 | xi[j] = temp; 553 | } 554 | k = i2; 555 | while (k <= j) 556 | { 557 | j -= k; 558 | k >>= 1; 559 | } 560 | j += k; 561 | } 562 | cr = -1.0; 563 | ci = 0.0; 564 | l2 = 1; 565 | for (l = 0; l < m; l++) 566 | { 567 | l1 = l2; 568 | l2 <<= 1; 569 | ur = 1.0; 570 | ui = 0.0; 571 | for (j = 0; j < l1; j++) 572 | { 573 | for (i = j; i < n; i += l2) 574 | { 575 | i1 = i + l1; 576 | t1r = ur*xr[i1] - ui*xi[i1]; 577 | t1i = ur*xi[i1] + ui*xr[i1]; 578 | xr[i1] = xr[i] - t1r; 579 | xi[i1] = xi[i] - t1i; 580 | xr[i] += t1r; 581 | xi[i] += t1i; 582 | } 583 | z = ur*cr - ui*ci; 584 | ui = ur*ci + ui*cr; 585 | ur = z; 586 | } 587 | ci = (sqrt((1.0 - cr) / 2.0)); 588 | if (dir == 1) 589 | ci *= -1; 590 | cr = (sqrt((1.0 + cr) / 2.0)); 591 | } 592 | if (dir == -1) 593 | { 594 | for (i = 0; i < n; i++) 595 | { 596 | xr[i] /= n; 597 | xi[i] /= n; 598 | } 599 | } 600 | return; 601 | } 602 | -------------------------------------------------------------------------------- /window_prev.txt: -------------------------------------------------------------------------------- 1 | 0.000000 2 | 0.000000 3 | 0.000000 4 | 0.000000 5 | 0.000000 6 | 0.000000 7 | 0.000000 8 | 0.000000 9 | 0.000000 10 | 0.000000 11 | 0.000000 12 | 0.000000 13 | 0.000000 14 | 0.000000 15 | 0.000000 16 | 0.000000 17 | 0.000000 18 | 0.000000 19 | 0.000000 20 | 0.000000 21 | 0.000000 22 | 0.000000 23 | 0.000000 24 | 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