annotate scripts/signal/fftshift.m @ 11529:f98f925d8e5c

Add undocumented function erfcx to documentation.
author Rik <octave@nomad.inbox5.com>
date Fri, 14 Jan 2011 11:59:59 -0800
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children c792872f8942
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1 ## Copyright (C) 1997-2011 Vincent Cautaerts
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} fftshift (@var{x})
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21 ## @deftypefnx {Function File} {} fftshift (@var{x}, @var{dim})
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22 ## Perform a shift of the vector @var{x}, for use with the @code{fft}
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23 ## and @code{ifft} functions, in order the move the frequency 0 to the
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24 ## center of the vector or matrix.
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25 ##
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26 ## If @var{x} is a vector of @math{N} elements corresponding to @math{N}
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27 ## time samples spaced of @math{Dt} each, then @code{fftshift (fft
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28 ## (@var{x}))} corresponds to frequencies
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29 ##
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30 ## @example
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31 ## f = ((1:N) - ceil(N/2)) / N / Dt
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32 ## @end example
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33 ##
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34 ## If @var{x} is a matrix, the same holds for rows and columns. If
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35 ## @var{x} is an array, then the same holds along each dimension.
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36 ##
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37 ## The optional @var{dim} argument can be used to limit the dimension
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38 ## along which the permutation occurs.
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39 ## @end deftypefn
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40
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41 ## Author: Vincent Cautaerts <vincent@comf5.comm.eng.osaka-u.ac.jp>
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42 ## Created: July 1997
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43 ## Adapted-By: jwe
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44
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45 function retval = fftshift (x, dim)
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46
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47 retval = 0;
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48
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49 if (nargin != 1 && nargin != 2)
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50 print_usage ();
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51 endif
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52
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53 if (nargin == 2)
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54 if (!isscalar (dim))
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55 error ("fftshift: dimension must be an integer scalar");
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56 endif
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57 nd = ndims (x);
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58 sz = size (x);
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59 sz2 = ceil (sz(dim) / 2);
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60 idx = cell ();
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61 for i = 1:nd
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62 idx{i} = 1:sz(i);
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63 endfor
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64 idx{dim} = [sz2+1:sz(dim), 1:sz2];
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65 retval = x(idx{:});
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66 else
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67 if (isvector (x))
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68 x = length (x);
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69 xx = ceil (x/2);
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70 retval = x([xx+1:x, 1:xx]);
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71 elseif (ismatrix (x))
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72 nd = ndims (x);
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73 sz = size (x);
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74 sz2 = ceil (sz ./ 2);
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75 idx = cell ();
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76 for i = 1:nd
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77 idx{i} = [sz2(i)+1:sz(i), 1:sz2(i)];
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78 endfor
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79 retval = x(idx{:});
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80 else
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81 error ("fftshift: expecting vector or matrix argument");
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82 endif
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83 endif
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84
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85 endfunction