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annotate scripts/signal/fftshift.m @ 20815:a260a6acb70f

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fix test failures introduced by a22d8a2eb0e5 * scripts/ode/private/integrate_adaptive.m: fix stepping backwards, fix invocation of OutputFcn, fix text of some error messages * scripts/ode/private/integrate_const.m: remove use of option OutputSave * scripts/ode/private/integrate_n_steps.m: remove use of option OutputSave
author Carlo de Falco <carlo.defalco@polimi.it>
date Sun, 11 Oct 2015 23:09:01 +0200
parents abbe33bf0c74
children
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
19898
4197fc428c7d maint: Update copyright notices for 2015.
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1 ## Copyright (C) 1997-2015 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} and
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23 ## @code{ifft} functions, in order the move the frequency 0 to the center of
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24 ## 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} time
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27 ## samples spaced by @nospell{@math{dt}}, then
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28 ## @code{fftshift (fft (@var{x}))} corresponds to frequencies
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29 ##
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30 ## @example
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31 ## f = [ -(ceil((N-1)/2):-1:1)*df 0 (1:floor((N-1)/2))*df ]
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32 ## @end example
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33 ##
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34 ## @noindent
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35 ## where @nospell{@math{df} = 1 / @math{dt}}.
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36 ##
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37 ## If @var{x} is a matrix, the same holds for rows and columns. If @var{x}
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38 ## is an array, then the same holds along each dimension.
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39 ##
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40 ## The optional @var{dim} argument can be used to limit the dimension along
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41 ## which the permutation occurs.
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42 ## @seealso{ifftshift}
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43 ## @end deftypefn
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45 ## Author: Vincent Cautaerts <vincent@comf5.comm.eng.osaka-u.ac.jp>
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46 ## Created: July 1997
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47 ## Adapted-By: jwe
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48
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49 function retval = fftshift (x, dim)
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50
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51 if (nargin != 1 && nargin != 2)
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52 print_usage ();
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53 endif
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54
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55 if (! (isnumeric (x) || islogical (x) || ischar (x)))
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56 error ("fftshift: X must be a vector or matrix");
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57 endif
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58
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59 if (nargin == 2)
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60 if (! (isscalar (dim) && dim > 0 && dim == fix (dim)))
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61 error ("fftshift: dimension DIM must be a positive integer");
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62 endif
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63 nd = ndims (x);
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64 sz = size (x);
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65 sz2 = ceil (sz(dim) / 2);
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66 idx = cell ();
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67 idx = repmat ({':'}, nd, 1);
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68 idx{dim} = [sz2+1:sz(dim), 1:sz2];
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69 retval = x(idx{:});
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70 else
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71 if (isvector (x))
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72 xl = length (x);
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73 xx = ceil (xl/2);
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74 retval = x([xx+1:xl, 1:xx]);
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75 else
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76 nd = ndims (x);
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77 sz = size (x);
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78 sz2 = ceil (sz ./ 2);
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79 idx = cell ();
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80 for i = 1:nd
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81 idx{i} = [sz2(i)+1:sz(i), 1:sz2(i)];
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82 endfor
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83 retval = x(idx{:});
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84 endif
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85 endif
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86
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87 endfunction
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88
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89
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90 %!test
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91 %! x = [0:7];
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92 %! y = fftshift (x);
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93 %! assert (y, [4 5 6 7 0 1 2 3]);
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94 %! assert (fftshift (y), x);
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95
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96 %!test
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97 %! x = [0:6];
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98 %! y = fftshift (x);
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99 %! assert (y, [4 5 6 0 1 2 3]);
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100 %! assert (fftshift (y), [1 2 3 4 5 6 0]);
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101
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102 %!test
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103 %! x = [0:7]';
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104 %! y = fftshift (x);
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105 %! assert (y, [4;5;6;7;0;1;2;3]);
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106 %! assert (fftshift (y), x);
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107
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108 %!test
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109 %! x = [0:6]';
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110 %! y = fftshift (x);
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111 %! assert (y, [4;5;6;0;1;2;3]);
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112 %! assert (fftshift (y), [1;2;3;4;5;6;0]);
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113
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114 %!test
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115 %! x = [0:3];
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116 %! x = [x;2*x;3*x+1;4*x+1];
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117 %! y = fftshift (x);
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118 %! assert (y, [[7 10 1 4];[9 13 1 5];[2 3 0 1];[4 6 0 2]]);
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119 %! assert (fftshift (y), x);
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120
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121 %!test
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122 %! x = [0:3];
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123 %! x = [x;2*x;3*x+1;4*x+1];
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124 %! y = fftshift (x,1);
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125 %! assert (y, [[1 4 7 10];[1 5 9 13];[0 1 2 3];[0 2 4 6]]);
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126 %! assert (fftshift (y,1), x);
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127
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128 %!test
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129 %! x = [0:3];
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Rik <rik@octave.org>
parents: 16826
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130 %! x = [x;2*x;3*x+1;4*x+1];
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Rik <rik@octave.org>
parents: 16826
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131 %! y = fftshift (x,2);
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Rik <rik@octave.org>
parents: 16826
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132 %! assert (y, [[2 3 0 1];[4 6 0 2];[7 10 1 4];[9 13 1 5]]);
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Rik <rik@octave.org>
parents: 16826
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133 %! assert (fftshift (y,2), x);
12540
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Robert T. Short <octave@phaselockedsystems.com.com>
parents: 12463
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134
20447
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Mike Miller <mtmiller@octave.org>
parents: 20375
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135 %!test
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Mike Miller <mtmiller@octave.org>
parents: 20375
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136 %! x = "abcdefg";
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Mike Miller <mtmiller@octave.org>
parents: 20375
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137 %! y = fftshift (x);
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Mike Miller <mtmiller@octave.org>
parents: 20375
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138 %! assert (y, "efgabcd");
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Mike Miller <mtmiller@octave.org>
parents: 20375
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139 %! assert (fftshift (y), "bcdefga");
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Mike Miller <mtmiller@octave.org>
parents: 20375
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140
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Mike Miller <mtmiller@octave.org>
parents: 20375
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141 ## Test N-dimensional input (bug #45207)
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Mike Miller <mtmiller@octave.org>
parents: 20375
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142 %!test
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Mike Miller <mtmiller@octave.org>
parents: 20375
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143 %! x = [0:3];
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Mike Miller <mtmiller@octave.org>
parents: 20375
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144 %! x = x + x' + reshape (x, [1 1 4]);
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Mike Miller <mtmiller@octave.org>
parents: 20375
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145 %! y1 = [4 5 2 3; 5 6 3 4; 2 3 0 1; 3 4 1 2];
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Mike Miller <mtmiller@octave.org>
parents: 20375
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146 %! y = fftshift (x);
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Mike Miller <mtmiller@octave.org>
parents: 20375
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147 %! assert (y, reshape ([y1 + 2, y1 + 3, y1, y1 + 1], [4 4 4]));
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Mike Miller <mtmiller@octave.org>
parents: 20375
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148 %! assert (fftshift (y), x);
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Mike Miller <mtmiller@octave.org>
parents: 20375
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149
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Mike Miller <mtmiller@octave.org>
parents: 20375
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150 %% Test input validation
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Mike Miller <mtmiller@octave.org>
parents: 20375
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151 %!error fftshift ()
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Mike Miller <mtmiller@octave.org>
parents: 20375
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152 %!error fftshift (1, 2, 3)
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Mike Miller <mtmiller@octave.org>
parents: 20375
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153 %!error fftshift (0:3, -1)
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Mike Miller <mtmiller@octave.org>
parents: 20375
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154 %!error fftshift (0:3, 0:3)
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Mike Miller <mtmiller@octave.org>
parents: 20375
diff changeset
155