X-Git-Url: https://git.creatis.insa-lyon.fr/pubgit/?a=blobdiff_plain;f=octave_packages%2Fm%2Fsignal%2Ffftshift.m;fp=octave_packages%2Fm%2Fsignal%2Ffftshift.m;h=ccd81942b9beb701f58bf093b93fba1615f3312a;hb=1c0469ada9531828709108a4882a751d2816994a;hp=0000000000000000000000000000000000000000;hpb=63de9f36673d49121015e3695f2c336ea92bc278;p=CreaPhase.git diff --git a/octave_packages/m/signal/fftshift.m b/octave_packages/m/signal/fftshift.m new file mode 100644 index 0000000..ccd8194 --- /dev/null +++ b/octave_packages/m/signal/fftshift.m @@ -0,0 +1,131 @@ +## Copyright (C) 1997-2012 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 3 of the License, 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, see +## . + +## -*- texinfo -*- +## @deftypefn {Function File} {} fftshift (@var{x}) +## @deftypefnx {Function File} {} fftshift (@var{x}, @var{dim}) +## Perform a shift of the vector @var{x}, 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{x} is a vector of @math{N} elements corresponding to @math{N} +## time samples spaced by @math{dt}, then +## @code{fftshift (fft (@var{x}))} corresponds to frequencies +## +## @example +## f = [ -(ceil((N-1)/2):-1:1)*df 0 (1:floor((N-1)/2))*df ] +## @end example +## +## @noindent +## where @nospell{@math{df}} = 1 / @math{dt}. +## +## If @var{x} is a matrix, the same holds for rows and columns. If +## @var{x} is an array, then the same holds along each dimension. +## +## The optional @var{dim} argument can be used to limit the dimension +## along which the permutation occurs. +## @end deftypefn + +## Author: Vincent Cautaerts +## Created: July 1997 +## Adapted-By: jwe + +function retval = fftshift (x, dim) + + if (nargin != 1 && nargin != 2) + print_usage (); + endif + + if (nargin == 2) + if (! (isscalar (dim) && dim > 0 && dim == fix (dim))) + error ("fftshift: dimension DIM must be a positive integer"); + endif + nd = ndims (x); + sz = size (x); + sz2 = ceil (sz(dim) / 2); + idx = cell (); + idx = repmat ({':'}, nd, 1); + idx{dim} = [sz2+1:sz(dim), 1:sz2]; + retval = x(idx{:}); + else + if (isvector (x)) + xl = length (x); + xx = ceil (xl/2); + retval = x([xx+1:xl, 1:xx]); + elseif (ismatrix (x)) + nd = ndims (x); + sz = size (x); + sz2 = ceil (sz ./ 2); + idx = cell (); + for i = 1:nd + idx{i} = [sz2(i)+1:sz(i), 1:sz2(i)]; + endfor + retval = x(idx{:}); + else + error ("fftshift: expecting vector or matrix argument"); + endif + endif + +endfunction + + +%!test +%! x = [0:7]; +%! y = fftshift (x); +%! assert(y, [4 5 6 7 0 1 2 3]); +%! assert(fftshift (y), x); + +%!test +%! x = [0:6]; +%! y = fftshift (x); +%! assert(y, [4 5 6 0 1 2 3]); +%! assert(fftshift (y), [1 2 3 4 5 6 0]); + +%!test +%! x = [0:7]'; +%! y = fftshift (x); +%! assert(y, [4;5;6;7;0;1;2;3]); +%! assert(fftshift (y), x); + +%!test +%! x = [0:6]'; +%! y = fftshift (x); +%! assert(y, [4;5;6;0;1;2;3]); +%! assert(fftshift (y), [1;2;3;4;5;6;0]); + +%!test +%! x = [0:3]; +%! x = [x;2*x;3*x+1;4*x+1]; +%! y = fftshift (x); +%! assert(y, [[7 10 1 4];[9 13 1 5];[2 3 0 1];[4 6 0 2]]); +%! assert(fftshift (y), x); + +%!test +%! x = [0:3]; +%! x = [x;2*x;3*x+1;4*x+1]; +%! y = fftshift (x,1); +%! assert(y, [[1 4 7 10];[1 5 9 13];[0 1 2 3];[0 2 4 6]]); +%! assert(fftshift (y,1), x); + +%!test +%! x = [0:3]; +%! x = [x;2*x;3*x+1;4*x+1]; +%! y = fftshift (x,2); +%! assert(y, [[2 3 0 1];[4 6 0 2];[7 10 1 4];[9 13 1 5]]); +%! assert(fftshift (y,2), x); +