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commit : sureshrink init
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@ -41,6 +41,23 @@ double mad(double *x, int N) {
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return sigma;
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}
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int minindex(double *arr, int N) {
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double min;
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int index,i;
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min = DBL_MAX;
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index = 0;
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for(i = 0; i < N;++i) {
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if (arr[i] < min) {
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min = arr[i];
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index = i;
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}
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}
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return index;
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}
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void getDWTAppx(wt_object wt, double *appx,int N) {
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/*
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Wavelet decomposition is stored as
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@ -89,6 +106,7 @@ void visushrink(double *signal,int N,char *wname,char *method,char *ext,char *th
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double sigma,td,tmp;
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wave_object wave;
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wt_object wt;
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double *dout;
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wave = wave_init(wname);
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@ -110,11 +128,17 @@ void visushrink(double *signal,int N,char *wname,char *method,char *ext,char *th
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iter = wt->length[0];
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dlen = wt->length[J];
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dout = (double*)malloc(sizeof(double) * dlen);
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for (i = 1; i < J; ++i) {
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iter += wt->length[i];
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}
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sigma = mad(wt->output+iter,dlen);
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for(i = 0; i < dlen;++i) {
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dout[i] = wt->output[iter+i];
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}
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sigma = mad(dout,dlen);
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dwt_len = wt->outlength;
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td = sqrt(2.0 * log(dwt_len)) * sigma / 0.6745;
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@ -139,6 +163,107 @@ void visushrink(double *signal,int N,char *wname,char *method,char *ext,char *th
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idwt(wt,denoised);
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free(dout);
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wave_free(wave);
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wt_free(wt);
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}
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void sureshrink(double *signal,int N,char *wname,char *method,char *ext,char *thresh,double *denoised) {
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int J, filt_len,i,it,len,dlen,dwt_len,min_index,sgn;
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double sigma,norm,td,tv,te,ct,thr,temp,x_sum;
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wave_object wave;
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wt_object wt;
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double *dout,*risk;
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wave = wave_init(wname);
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filt_len = wave->filtlength;
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J = (int) (log((double)N / ((double)filt_len - 1.0)) / log(2.0));
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if (J > 50) {
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J = 50;
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}
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wt = wt_init(wave,method,N,J);
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setDWTExtension(wt,ext);
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dwt(wt,signal);
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len = wt->length[0];
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dlen = wt->length[J];
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dout = (double*)malloc(sizeof(double) * dlen);
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risk = (double*)malloc(sizeof(double) * dlen);
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for(it = 0; it < J;++it) {
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dwt_len = wt->length[it+1];
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for(i = 0; i < dlen;++i) {
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dout[i] = wt->output[len+i];
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}
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sigma = mad(dout,dwt_len);
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if ( sigma < 0.00000001) {
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td = 0;
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} else {
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tv = sqrt(2.0 * log(dwt_len));
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norm = 0.0;
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for(i = 0; i < dwt_len;++i) {
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norm += (wt->output[len+i] *wt->output[len+i]);
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}
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te =(norm - (double) dwt_len)/(double) dwt_len;
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ct = pow(log((double) dwt_len)/log(2.0),1.5)/sqrt((double) dwt_len);
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if (te < ct) {
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td = tv;
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} else {
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x_sum = 0.0;
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for(i = 0; i < dwt_len;++i) {
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dout[i] = (dout[i]*dout[i]);
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x_sum += dout[i];
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}
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for(i = 0;i < dwt_len;++i) {
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risk[i] = ((double)dwt_len + 1 - 2 * ((double)i + 1) +x_sum +
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dout[i]*((double)dwt_len - 1 -(double) i))/(double)dwt_len;
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}
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min_index = minindex(risk,dwt_len);
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thr = sqrt(dout[min_index]);
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td = thr < tv ? thr : tv;
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}
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}
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td = td * sigma / 0.6745;
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if(!strcmp(thresh,"hard")) {
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for(i = 0; i < dwt_len;++i) {
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if (fabs(wt->output[len+i]) < td) {
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wt->output[i] = 0;
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}
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}
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} else if(!strcmp(thresh,"soft")) {
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for(i = 0; i < dwt_len;++i) {
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if (fabs(wt->output[len + i]) < td) {
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wt->output[i] = 0;
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} else {
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sgn = wt->output[len+i] >= 0 ? 1 : -1;
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temp = sgn * (fabs(wt->output[len+i]) - td);
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wt->output[i] = temp;
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}
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}
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}
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len += wt->length[it+1];
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}
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idwt(wt,denoised);
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free(dout);
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free(risk);
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wave_free(wave);
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wt_free(wt);
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}
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@ -7,6 +7,7 @@ Copyright (c) 2017, Rafat Hussain
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#include <stdio.h>
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#include <stdlib.h>
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#include <string.h>
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#include <float.h>
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#include <math.h>
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#include "../header/wavelib.h"
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@ -17,6 +18,8 @@ extern "C" {
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void visushrink(double *signal,int N,char *wname,char *method,char *ext,char *thresh,double *denoised);
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void sureshrink(double *signal,int N,char *wname,char *method,char *ext,char *thresh,double *denoised);
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double mad(double *x, int N);
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