annotate scripts/signal/stft.m @ 9072:bd8e388043c4

Cleanup documentation for signal.texi, image.texi, audio.texi
author Rik <rdrider0-list@yahoo.com>
date Wed, 01 Apr 2009 17:06:45 -0700
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1 ## Copyright (C) 1995, 1996, 1997, 1998, 2000, 2002, 2005, 2006, 2007, 2009
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2 ## Andreas Weingessel
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3 ##
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4 ## This file is part of Octave.
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5 ##
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6 ## Octave is free software; you can redistribute it and/or modify it
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7 ## under the terms of the GNU General Public License as published by
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8 ## the Free Software Foundation; either version 3 of the License, or (at
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9 ## your option) any later version.
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10 ##
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11 ## Octave is distributed in the hope that it will be useful, but
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12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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13 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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14 ## General Public License for more details.
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15 ##
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16 ## You should have received a copy of the GNU General Public License
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17 ## along with Octave; see the file COPYING. If not, see
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18 ## <http://www.gnu.org/licenses/>.
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19
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20 ## -*- texinfo -*-
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21 ## @deftypefn {Function File} {[@var{y}, @var{c}] =} stft (@var{x}, @var{win_size}, @var{inc}, @var{num_coef}, @var{w_type})
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22 ## Compute the short-time Fourier transform of the vector @var{x} with
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23 ## @var{num_coef} coefficients by applying a window of @var{win_size} data
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24 ## points and an increment of @var{inc} points.
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25 ##
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26 ## Before computing the Fourier transform, one of the following windows
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27 ## is applied:
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28 ##
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29 ## @table @asis
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30 ## @item hanning
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31 ## w_type = 1
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32 ## @item hamming
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33 ## w_type = 2
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34 ## @item rectangle
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35 ## w_type = 3
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36 ## @end table
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37 ##
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38 ## The window names can be passed as strings or by the @var{w_type} number.
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39 ##
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40 ## If not all arguments are specified, the following defaults are used:
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41 ## @var{win_size} = 80, @var{inc} = 24, @var{num_coef} = 64, and
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42 ## @var{w_type} = 1.
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43 ##
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44 ## @code{@var{y} = stft (@var{x}, @dots{})} returns the absolute values
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45 ## of the Fourier coefficients according to the @var{num_coef} positive
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46 ## frequencies.
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47 ##
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48 ## @code{[@var{y}, @var{c}] = stft (@code{x}, @dots{})} returns the
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49 ## entire STFT-matrix @var{y} and a 3-element vector @var{c} containing
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50 ## the window size, increment, and window type, which is needed by the
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51 ## synthesis function.
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52 ## @end deftypefn
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53
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54 ## Author: AW <Andreas.Weingessel@ci.tuwien.ac.at>
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55 ## Description: Short-Time Fourier Transform
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56
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57 function [Y, c] = stft(X, win, inc, coef, w_type)
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58
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59 ## Default values of unspecified arguments.
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60 if (nargin < 5)
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61 w_type = 1;
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62 if (nargin < 4)
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63 coef = 64;
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64 if (nargin < 3)
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65 inc = 24;
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66 if (nargin < 2)
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67 win = 80;
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68 endif
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69 endif
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70 endif
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71 elseif (nargin == 5)
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72 if (ischar (w_type))
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73 if (strcmp (w_type, "hanning"))
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74 w_type = 1;
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75 elseif (strcmp (w_type, "hamming"))
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76 w_type = 2;
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77 elseif (strcmp (w_type, "rectangle"))
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78 w_type = 3;
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79 else
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80 error ("stft: unknown window type `%s'", w_type);
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81 endif
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82 endif
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83 else
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84 print_usage ();
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85 endif
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86
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87 ## Check whether X is a vector.
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88 [nr, nc] = size (X);
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89 if (nc != 1)
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90 if (nr == 1)
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91 X = X';
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92 nr = nc;
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93 else
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94 error ("stft: X must be a vector");
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95 endif
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96 endif
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97
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98 num_coef = 2 * coef;
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99 if (win > num_coef)
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100 win = num_coef;
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101 printf ("stft: window size adjusted to %f\n", win);
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102 endif
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103 num_win = fix ((nr - win) / inc);
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104
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105 ## compute the window coefficients
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106 if (w_type == 3)
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107 ## Rectangular window.
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108 WIN_COEF = ones (win, 1);
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109 elseif (w_type == 2)
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110 ## Hamming window.
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111 WIN_COEF = hamming (win);
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112 else
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113 ## Hanning window.
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114 WIN_COEF = hanning (win);
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115 endif
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116
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117 ## Create a matrix Z whose columns contain the windowed time-slices.
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118 Z = zeros (num_coef, num_win + 1);
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119 start = 1;
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120 for i = 0:num_win
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121 Z(1:win, i+1) = X(start:start+win-1) .* WIN_COEF;
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122 start = start + inc;
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123 endfor
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124
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125 Y = fft (Z);
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126
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127 if (nargout == 1)
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128 Y = abs (Y(1:coef, :));
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129 else
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130 c = [win, inc, w_type];
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131 endif
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132
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133 endfunction