libdspl-2.0/dspl/src/dft/fourier_series_dec_cmplx.c

77 wiersze
2.2 KiB
C

/*
* Copyright (c) 2015-2019 Sergey Bakhurin
* Digital Signal Processing Library [http://dsplib.org]
*
* This file is part of libdspl-2.0.
*
* is free software: you can redistribute it and/or modify
* it under the terms of the GNU Lesser General Public License as published by
* the Free Software Foundation, either version 3 of the License, or
* (at your option) any later version.
*
* DSPL is distributed in the hope that it will be useful,
* but WITHOUT ANY WARRANTY; without even the implied warranty of
* MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
* GNU General Public License for more details.
*
* You should have received a copy of the GNU Lesser General Public License
* along with Foobar. If not, see <http://www.gnu.org/licenses/>.
*/
#include <stdlib.h>
#include <string.h>
#include <math.h>
#include "dspl.h"
#ifdef DOXYGEN_ENGLISH
#endif
#ifdef DOXYGEN_RUSSIAN
#endif
int DSPL_API fourier_series_dec_cmplx(double* t, complex_t* s, int nt,
double period, int nw, double* w, complex_t* y)
{
int k, m;
double dw = M_2PI / period;
complex_t e[2];
if(!t || !s || !w || !y)
return ERROR_PTR;
if(nt<1 || nw < 1)
return ERROR_SIZE;
if(period <= 0.0)
return ERROR_NEGATIVE;
memset(y, 0 , nw*sizeof(complex_t));
for(k = 0; k < nw; k++)
{
w[k] = (k - nw/2) * dw;
RE(e[1]) = RE(s[0]) * cos(w[k] * t[0]) +
IM(s[0]) * sin(w[k] * t[0]);
IM(e[1]) = -RE(s[0]) * sin(w[k] * t[0]) +
IM(s[0]) * cos(w[k] * t[0]);
for(m = 1; m < nt; m++)
{
RE(e[0]) = RE(e[1]);
IM(e[0]) = IM(e[1]);
RE(e[1]) = RE(s[m]) * cos(w[k] * t[m]) +
IM(s[m]) * sin(w[k] * t[m]);
IM(e[1]) = -RE(s[m]) * sin(w[k] * t[m]) +
IM(s[m]) * cos(w[k] * t[m]);
RE(y[k]) += 0.5 * (RE(e[0]) + RE(e[1]))*(t[m] - t[m-1]);
IM(y[k]) += 0.5 * (IM(e[0]) + IM(e[1]))*(t[m] - t[m-1]);
}
RE(y[k]) /= period;
IM(y[k]) /= period;
}
if(!(nw%2))
RE(y[0]) = RE(y[1]) = 0.0;
return RES_OK;
}