annotate scripts/signal/stft.m @ 30564:796f54d4ddbf stable

update Octave Project Developers copyright for the new year In files that have the "Octave Project Developers" copyright notice, update for 2021. In all .txi and .texi files except gpl.txi and gpl.texi in the doc/liboctave and doc/interpreter directories, change the copyright to "Octave Project Developers", the same as used for other source files. Update copyright notices for 2022 (not done since 2019). For gpl.txi and gpl.texi, change the copyright notice to be "Free Software Foundation, Inc." and leave the date at 2007 only because this file only contains the text of the GPL, not anything created by the Octave Project Developers. Add Paul Thomas to contributors.in.
author John W. Eaton <jwe@octave.org>
date Tue, 28 Dec 2021 18:22:40 -0500
parents 7854d5752dd2
children fd29c7a50a78
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1 ########################################################################
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2 ##
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3 ## Copyright (C) 1995-2022 The Octave Project Developers
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4 ##
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5 ## See the file COPYRIGHT.md in the top-level directory of this
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6 ## distribution or <https://octave.org/copyright/>.
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7 ##
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8 ## This file is part of Octave.
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9 ##
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10 ## Octave is free software: you can redistribute it and/or modify it
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11 ## under the terms of the GNU General Public License as published by
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12 ## the Free Software Foundation, either version 3 of the License, or
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13 ## (at your option) any later version.
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14 ##
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15 ## Octave is distributed in the hope that it will be useful, but
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16 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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17 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
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18 ## GNU General Public License for more details.
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19 ##
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20 ## You should have received a copy of the GNU General Public License
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21 ## along with Octave; see the file COPYING. If not, see
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22 ## <https://www.gnu.org/licenses/>.
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23 ##
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24 ########################################################################
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25
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26 ## -*- texinfo -*-
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27 ## @deftypefn {} {@var{y} =} stft (@var{x})
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28 ## @deftypefnx {} {@var{y} =} stft (@var{x}, @var{win_size})
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29 ## @deftypefnx {} {@var{y} =} stft (@var{x}, @var{win_size}, @var{inc})
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30 ## @deftypefnx {} {@var{y} =} stft (@var{x}, @var{win_size}, @var{inc}, @var{num_coef})
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31 ## @deftypefnx {} {@var{y} =} stft (@var{x}, @var{win_size}, @var{inc}, @var{num_coef}, @var{win_type})
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32 ## @deftypefnx {} {[@var{y}, @var{c}] =} stft (@dots{})
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33 ## Compute the short-time Fourier transform of the vector @var{x} with
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34 ## @var{num_coef} coefficients by applying a window of @var{win_size} data
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35 ## points and an increment of @var{inc} points.
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36 ##
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37 ## Before computing the Fourier transform, one of the following windows
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38 ## is applied:
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39 ##
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40 ## @table @asis
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41 ## @item @qcode{"hanning"}
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42 ## win_type = 1
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43 ##
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44 ## @item @qcode{"hamming"}
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45 ## win_type = 2
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46 ##
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47 ## @item @qcode{"rectangle"}
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48 ## win_type = 3
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49 ## @end table
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50 ##
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51 ## The window names can be passed as strings or by the @var{win_type} number.
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52 ##
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53 ## The following defaults are used for unspecified arguments:
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54 ## @var{win_size} = 80, @var{inc} = 24, @var{num_coef} = 64, and
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55 ## @var{win_type} = 1.
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56 ##
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57 ## @code{@var{y} = stft (@var{x}, @dots{})} returns the absolute values of the
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58 ## Fourier coefficients according to the @var{num_coef} positive frequencies.
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59 ##
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60 ## @code{[@var{y}, @var{c}] = stft (@var{x}, @dots{})} returns the entire
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61 ## STFT-matrix @var{y} and a 3-element vector @var{c} containing the window
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62 ## size, increment, and window type, which is needed by the @code{synthesis}
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63 ## function.
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64 ## @seealso{synthesis}
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65 ## @end deftypefn
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66
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67 function [y, c] = stft (x, win_size = 80, inc = 24, num_coef = 64, win_type = 1)
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68
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69 if (nargin < 1)
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70 print_usage ();
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71 endif
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72
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73 if (ischar (win_type))
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74 switch (tolower (win_type))
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75 case "hanning" win_type = 1;
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76 case "hamming" win_type = 2;
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77 case "rectangle" win_type = 3;
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78 otherwise
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79 error ("stft: unknown window type '%s'", win_type);
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80 endswitch
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81 endif
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82
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83 ## Check whether X is a vector.
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84 if (! isvector (x))
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85 error ("stft: X must be a vector");
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86 endif
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87 x = x(:);
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88
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89 ncoef = 2 * num_coef;
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90 if (win_size > ncoef)
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91 win_size = ncoef;
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92 printf ("stft: window size adjusted to %f\n", win_size);
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93 endif
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94 num_win = fix ((rows (x) - win_size) / inc);
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95
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96 ## compute the window coefficients
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97 switch (win_type)
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98 case 1 win_coef = hanning (win_size);
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99 case 2 win_coef = hamming (win_size);
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100 case 3 win_coef = ones (win_size, 1);
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101 endswitch
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102
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103 ## Create a matrix Z whose columns contain the windowed time-slices.
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104 z = zeros (ncoef, num_win + 1);
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105 start = 1;
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106 for i = 0:num_win
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107 z(1:win_size, i+1) = x(start:start+win_size-1) .* win_coef;
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108 start += inc;
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109 endfor
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110
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111 y = fft (z);
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112
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113 if (nargout == 1)
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114 y = abs (y(1:num_coef, :));
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115 else
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116 c = [win_size, inc, win_type];
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117 endif
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118
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119 endfunction