File: _grpdelay.c

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/* ----------------------------------------------------------------- */
/*             The Speech Signal Processing Toolkit (SPTK)           */
/*             developed by SPTK Working Group                       */
/*             http://sp-tk.sourceforge.net/                         */
/* ----------------------------------------------------------------- */
/*                                                                   */
/*  Copyright (c) 1984-2007  Tokyo Institute of Technology           */
/*                           Interdisciplinary Graduate School of    */
/*                           Science and Engineering                 */
/*                                                                   */
/*                1996-2015  Nagoya Institute of Technology          */
/*                           Department of Computer Science          */
/*                                                                   */
/* All rights reserved.                                              */
/*                                                                   */
/* Redistribution and use in source and binary forms, with or        */
/* without modification, are permitted provided that the following   */
/* conditions are met:                                               */
/*                                                                   */
/* - Redistributions of source code must retain the above copyright  */
/*   notice, this list of conditions and the following disclaimer.   */
/* - Redistributions in binary form must reproduce the above         */
/*   copyright notice, this list of conditions and the following     */
/*   disclaimer in the documentation and/or other materials provided */
/*   with the distribution.                                          */
/* - Neither the name of the SPTK working group nor the names of its */
/*   contributors may be used to endorse or promote products derived */
/*   from this software without specific prior written permission.   */
/*                                                                   */
/* THIS SOFTWARE IS PROVIDED BY THE COPYRIGHT HOLDERS AND            */
/* CONTRIBUTORS "AS IS" AND ANY EXPRESS OR IMPLIED WARRANTIES,       */
/* INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF          */
/* MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE ARE          */
/* DISCLAIMED. IN NO EVENT SHALL THE COPYRIGHT OWNER OR CONTRIBUTORS */
/* BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL,          */
/* EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED   */
/* TO, PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE,     */
/* DATA, OR PROFITS; OR BUSINESS INTERRUPTION) HOWEVER CAUSED AND ON */
/* ANY THEORY OF LIABILITY, WHETHER IN CONTRACT, STRICT LIABILITY,   */
/* OR TORT (INCLUDING NEGLIGENCE OR OTHERWISE) ARISING IN ANY WAY    */
/* OUT OF THE USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE           */
/* POSSIBILITY OF SUCH DAMAGE.                                       */
/* ----------------------------------------------------------------- */

/***************************************************************
  $Id: _grpdelay.c,v 1.18 2015/12/14 01:14:15 uratec Exp $
  group delay of digital filter
      grpdelay(x, gd, size, is_alma);

      double   *x     :    filter coefficients  seaqunece
      double   *gd    :    group delay sequence
      int      size   :    FFT size      
      int     is_arma :    if a then ARMA filter 

                              Naohiro Isshiki      Feb. 1996
****************************************************************/

#include <stdio.h>
#include <stdlib.h>

#if defined(WIN32)
#include "SPTK.h"
#else
#include <SPTK.h>
#endif

void grpdelay(double *x, double *gd, const int size, const int is_arma)
{
   static double *y;
   static int fsize;

   double *u, *v;
   int k, size_2;

   if (fsize < size) {
      if (y != NULL)
         free(y);
      fsize = size;
      y = dgetmem(3 * size);
   }
   movem(x, gd, sizeof(*x), size);
   u = y + size;
   v = u + size;

   size_2 = size / 2;

   if (is_arma)
      gd[0] = 1;
   for (k = 0; k < size; ++k)
      u[k] = gd[k] * k;

   fftr(gd, y, size);
   fftr(u, v, size);

   for (k = 0; k <= size_2; k++) {
      gd[k] = (gd[k] * u[k] + y[k] * v[k]) / (gd[k] * gd[k] + y[k] * y[k]);
      if (is_arma)
         gd[k] *= -1;
   }

   return;
}