## Copyright (C) 1995, 1996, 1997  Andreas Weingessel
## 
## This program is free software; you can redistribute it and/or modify
## it under the terms of the GNU General Public License as published by
## the Free Software Foundation; either version 2, or (at your option)
## any later version.
## 
## This program 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 General Public License
## along with this file.  If not, write to the Free Software Foundation,
## 59 Temple Place - Suite 330, Boston, MA 02111-1307, USA.

## usage:  X = synthesis (Y, c)
##
## recovers a signal X from its short-time Fourier transform Y. c =
## [win_size, increment, window_type].
##
## Y and c can be derived by [Y, c] = stft (X [, ...]).
  
## Author:  AW <Andreas.Weingessel@ci.tuwien.ac.at>
## Description:  Recover a signal from its short-term Fourier transform

function X = synthesis (Y, c)
  
  if (nargin != 2)
    usage ("X = synthesis (Y, c)");
  endif
  
  [nr, nc] = size (c);
  if (nr * nc != 3)
    error ("synthesis:  c must contain exactly 3 elements");
  endif
  
  ## not necessary, enables better reading
  win = c(1);      
  inc = c(2);
  w_type = c(3);
  
  if (w_type == 1)
    H = hanning (win);
  elseif (w_type == 2)
    H = hamming (win);
  elseif (w_type == 3)
    H = ones (win, 1);
  else
    error ("synthesis:  window_type must be 1, 2, or 3");
  endif
    
  Z = real (ifft (Y));
  st = fix ((win-inc) / 2);
  Z = Z(st:st+inc-1, :);
  H = H(st:st+inc-1);

  nc = columns(Z);
  for i = 1:nc
    Z(:, i) = Z(:, i) ./ H;
  endfor
  
  X = reshape(Z, inc * nc, 1);
  
endfunction