#include "denoise.h" denoise_object denoise_init(int length, int J,char* wname) { denoise_object obj = NULL; obj = (denoise_object)malloc(sizeof(struct denoise_set) +sizeof(double)); obj->N = length; obj->J = J; strcpy(obj->wname,wname); //Set Default Values strcpy(obj->dmethod,"sureshrink"); strcpy(obj->ext,"sym"); strcpy(obj->level,"first"); strcpy(obj->thresh,"soft"); strcpy(obj->wmethod,"dwt"); return obj; } void visushrink(double *signal,int N,int J,char *wname,char *method,char *ext,char *thresh,char *level,double *denoised) { int filt_len,iter,i,dlen,dwt_len,sgn, MaxIter,it; double sigma,td,tmp; wave_object wave; wt_object wt; double *dout,*lnoise; wave = wave_init(wname); filt_len = wave->filtlength; MaxIter = (int) (log((double)N / ((double)filt_len - 1.0)) / log(2.0)); if (J > MaxIter) { printf("\n Error - The Signal Can only be iterated %d times using this wavelet. Exiting\n",MaxIter); exit(-1); } wt = wt_init(wave,method,N,J); if(!strcmp(method,"dwt")) { setDWTExtension(wt,ext); dwt(wt,signal); } else if(!strcmp(method,"swt")) { swt(wt,signal); } else { printf("Acceptable WT methods are - dwt,swt and modwt\n"); exit(-1); } lnoise = (double*)malloc(sizeof(double) * J); //Set sigma iter = wt->length[0]; dlen = wt->length[J]; dout = (double*)malloc(sizeof(double) * dlen); if(!strcmp(level,"first")) { for (i = 1; i < J; ++i) { iter += wt->length[i]; } for(i = 0; i < dlen;++i) { dout[i] = fabs(wt->output[iter+i]); } sigma = median(dout,dlen) / 0.6745; for(it = 0; it < J;++it) { lnoise[it] = sigma; } } else if(!strcmp(level,"all")){ for(it = 0; it < J;++it) { dlen = wt->length[it+1]; for(i = 0; i < dlen;++i) { dout[i] = fabs(wt->output[iter+i]); } sigma = median(dout,dlen) / 0.6745; lnoise[it] = sigma; iter += dlen; } } else { printf("Acceptable Noise estimation level values are - first and all \n"); exit(-1); } dwt_len = wt->outlength; iter = wt->length[0]; for(it = 0; it < J;++it) { sigma = lnoise[it]; dlen = wt->length[it+1]; td = sqrt(2.0 * log(dwt_len)) * sigma; if(!strcmp(thresh,"hard")) { for(i = 0; i < dlen;++i) { if (fabs(wt->output[iter+i]) < td) { wt->output[iter+i] = 0; } } } else if(!strcmp(thresh,"soft")) { for(i = 0; i < dlen;++i) { if (fabs(wt->output[iter + i]) < td) { wt->output[iter+i] = 0; } else { sgn = wt->output[iter+i] >= 0 ? 1 : -1; tmp = sgn * (fabs(wt->output[iter+i]) - td); wt->output[iter+i] = tmp; } } } iter += wt->length[it+1]; } if(!strcmp(method,"dwt")) { idwt(wt,denoised); } else if(!strcmp(method,"swt")) { iswt(wt,denoised); } free(dout); free(lnoise); wave_free(wave); wt_free(wt); } void sureshrink(double *signal,int N,int J,char *wname,char *method,char *ext,char *thresh,char *level,double *denoised) { int filt_len,i,it,len,dlen,dwt_len,min_index,sgn, MaxIter,iter; double sigma,norm,td,tv,te,ct,thr,temp,x_sum; wave_object wave; wt_object wt; double *dout,*risk,*dsum,*lnoise; wave = wave_init(wname); filt_len = wave->filtlength; MaxIter = (int) (log((double)N / ((double)filt_len - 1.0)) / log(2.0)); // Depends on J if (J > MaxIter) { printf("\n Error - The Signal Can only be iterated %d times using this wavelet. Exiting\n",MaxIter); exit(-1); } wt = wt_init(wave,method,N,J); if(!strcmp(method,"dwt")) { setDWTExtension(wt,ext); dwt(wt,signal); } else if(!strcmp(method,"swt")) { swt(wt,signal); } else { printf("Acceptable WT methods are - dwt and swt\n"); exit(-1); } len = wt->length[0]; dlen = wt->length[J]; dout = (double*)malloc(sizeof(double) * dlen); risk = (double*)malloc(sizeof(double) * dlen); dsum = (double*)malloc(sizeof(double) * dlen); lnoise = (double*)malloc(sizeof(double) * J); iter = wt->length[0]; if(!strcmp(level,"first")) { for (i = 1; i < J; ++i) { iter += wt->length[i]; } for(i = 0; i < dlen;++i) { dout[i] = fabs(wt->output[iter+i]); } sigma = median(dout,dlen) / 0.6745; for(it = 0; it < J;++it) { lnoise[it] = sigma; } } else if(!strcmp(level,"all")){ for(it = 0; it < J;++it) { dlen = wt->length[it+1]; for(i = 0; i < dlen;++i) { dout[i] = fabs(wt->output[iter+i]); } sigma = median(dout,dlen) / 0.6745; lnoise[it] = sigma; iter += dlen; } } else { printf("Acceptable Noise estimation level values are - first and all \n"); exit(-1); } for(it = 0; it < J;++it) { dwt_len = wt->length[it+1]; sigma = lnoise[it]; if ( sigma < 0.00000001) { td = 0; } else { tv = sqrt(2.0 * log(dwt_len)); norm = 0.0; for(i = 0; i < dwt_len;++i) { norm += (wt->output[len+i] *wt->output[len+i] /(sigma*sigma)); } te =(norm - (double) dwt_len)/(double) dwt_len; ct = pow(log((double) dwt_len)/log(2.0),1.5)/sqrt((double) dwt_len); if (te < ct) { td = tv; } else { x_sum = 0.0; for(i = 0; i < dwt_len;++i) { dout[i] = fabs(wt->output[len+i]/sigma); } qsort(dout, dwt_len, sizeof(double), compare_double); for(i = 0; i < dwt_len;++i) { dout[i] = (dout[i]*dout[i]); x_sum += dout[i]; dsum[i] = x_sum; } for(i = 0;i < dwt_len;++i) { risk[i] = ((double)dwt_len - 2 * ((double)i + 1) +dsum[i] + dout[i]*((double)dwt_len - 1 -(double) i))/(double)dwt_len; } min_index = minindex(risk,dwt_len); thr = sqrt(dout[min_index]); td = thr < tv ? thr : tv; } } td = td * sigma; if(!strcmp(thresh,"hard")) { for(i = 0; i < dwt_len;++i) { if (fabs(wt->output[len+i]) < td) { wt->output[len+i] = 0; } } } else if(!strcmp(thresh,"soft")) { for(i = 0; i < dwt_len;++i) { if (fabs(wt->output[len + i]) < td) { wt->output[len+i] = 0; } else { sgn = wt->output[len+i] >= 0 ? 1 : -1; temp = sgn * (fabs(wt->output[len+i]) - td); wt->output[len+i] = temp; } } } len += wt->length[it+1]; } if(!strcmp(method,"dwt")) { idwt(wt,denoised); } else if(!strcmp(method,"swt")) { iswt(wt,denoised); } free(dout); free(dsum); free(risk); free(lnoise); wave_free(wave); wt_free(wt); } void denoise(denoise_object obj, double *signal,double *denoised) { if(!strcmp(obj->dmethod,"sureshrink")) { sureshrink(signal,obj->N,obj->J,obj->wname,obj->wmethod,obj->ext,obj->thresh,obj->level,denoised); } else if(!strcmp(obj->dmethod,"visushrink")) { visushrink(signal,obj->N,obj->J,obj->wname,obj->wmethod,obj->ext,obj->thresh,obj->level,denoised);; } else { printf("Acceptable Denoising methods are - sureshrink and visushrink\n"); exit(-1); } } void setDenoiseMethod(denoise_object obj, char *dmethod) { if (!strcmp(dmethod, "sureshrink")) { strcpy(obj->dmethod, "sureshrink"); } else if (!strcmp(dmethod, "visushrink")) { strcpy(obj->dmethod, "visushrink"); } else { printf("Acceptable Denoising methods are - sureshrink and visushrink\n"); exit(-1); } } void setDenoiseWTMethod(denoise_object obj, char *wmethod) { if (!strcmp(wmethod, "dwt")) { strcpy(obj->wmethod, "dwt"); } else if (!strcmp(wmethod, "swt")) { strcpy(obj->wmethod, "swt"); } else { printf("Wavelet decomposition method can be either dwt or swt"); exit(-1); } } void setDenoiseWTExtension(denoise_object obj, char *extension) { if (!strcmp(extension, "sym")) { strcpy(obj->ext, "sym"); } else if (!strcmp(extension, "per")) { strcpy(obj->ext, "per"); } else { printf("Signal extension can be either per or sym"); exit(-1); } } void setDenoiseParameters(denoise_object obj, char *thresh,char *level) { //Set thresholding if (!strcmp(thresh, "soft")) { strcpy(obj->thresh, "soft"); } else if (!strcmp(thresh, "hard")) { strcpy(obj->thresh, "hard"); } else { printf("Thresholding Method - soft or hard"); exit(-1); } // Set Noise estimation at the first level or at all levels if (!strcmp(level, "first")) { strcpy(obj->level, "first"); } else if (!strcmp(level, "all")) { strcpy(obj->level, "all"); } else { printf("Noise Estimation at level - first or all"); exit(-1); } } void denoise_free(denoise_object object) { free(object); }