## Copyright (C) 1997 by Vincent Cautaerts
##
## This file is part of Octave.
##
## Octave 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.
##
## Octave 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 Octave; see the file COPYING.  If not, write to the Free
## Software Foundation, 59 Temple Place - Suite 330, Boston, MA
## 02111-1307, USA.

## -*- texinfo -*-
## @deftypefn {Function File} {} fftshift (@var{v})
## Perform a shift of the vector @var{v}, for use with the @code{fft}
## and @code{ifft} functions, in order the move the frequency 0 to the
## center of the vector or matrix.
##
## If @var{v} is a vector of @math{N} elements corresponding to @math{N}
## time samples spaced of @math{Dt} each, then @code{fftshift (fft
## (@var{v}))} corresponds to frequencies
##
## @example
## f = ((1:N) - ceil(N/2)) / N / Dt
## @end example
##
## If @var{v} is a matrix, the same holds for rows and columns.
## @end deftypefn

## Author: Vincent Cautaerts <vincent@comf5.comm.eng.osaka-u.ac.jp>
## Created: July 1997
## Adapted-By: jwe

function retval = fftshift (V)

  retval = 0;

  if (nargin != 1)
    usage ("usage: fftshift (X)");
  endif

  if (isvector (V))
    x = length (V);
    xx = ceil (x/2);
    retval = V([xx+1:x, 1:xx]);
  elseif (ismatrix (V))
    [x, y] = size (V);
    xx = ceil (x/2);
    yy = ceil (y/2);
    retval = V([xx+1:x, 1:xx], [yy+1:y, 1:yy]);
  else
    error ("fftshift: expecting vector or matrix argument");
  endif

endfunction