Mercurial > octave
annotate scripts/signal/hanning.m @ 33625:d213a148b3f1 default tip @
ensure exp. terminal widget has focus at startup
* main-window.cc (main_window): call focus_command_window only if
event loop is idle by using a single shot timer
* main-window.h: make focus_command_window a public slot
author | Torsten Lilge <ttl-octave@mailbox.org> |
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date | Sun, 26 May 2024 02:29:44 +0200 |
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1 ######################################################################## |
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2 ## |
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3 ## Copyright (C) 1995-2024 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/>. |
3426 | 7 ## |
3922 | 8 ## This file is part of Octave. |
9 ## | |
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10 ## Octave is free software: you can redistribute it and/or modify it |
3922 | 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. |
3426 | 14 ## |
3922 | 15 ## Octave is distributed in the hope that it will be useful, but |
3191 | 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. |
3426 | 19 ## |
3191 | 20 ## You should have received a copy of the GNU General Public License |
7016 | 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 ######################################################################## |
3191 | 25 |
3449 | 26 ## -*- texinfo -*- |
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27 ## @deftypefn {} {@var{c} =} hanning (@var{m}) |
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28 ## @deftypefnx {} {@var{c} =} hanning (@var{m}, "periodic") |
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29 ## @deftypefnx {} {@var{c} =} hanning (@var{m}, "symmetric") |
3449 | 30 ## Return the filter coefficients of a Hanning window of length @var{m}. |
3191 | 31 ## |
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32 ## If the optional argument @qcode{"periodic"} is given, the periodic form |
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33 ## of the window is returned. This is equivalent to the window of length |
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34 ## @var{m}+1 with the last coefficient removed. The optional argument |
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35 ## @qcode{"symmetric"} is equivalent to not specifying a second argument. |
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36 ## |
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37 ## For a definition of the Hanning window see, e.g., |
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38 ## @nospell{A.V. Oppenheim & R. W. Schafer}, |
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39 ## @cite{Discrete-Time Signal Processing}. |
3449 | 40 ## @end deftypefn |
3426 | 41 |
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42 function c = hanning (m, opt) |
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44 if (nargin < 1) |
6046 | 45 print_usage (); |
3191 | 46 endif |
3426 | 47 |
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48 if (! (isscalar (m) && m > 0 && m == fix (m))) |
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49 error ("hanning: M must be a positive integer"); |
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50 endif |
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51 |
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52 N = m - 1; |
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53 if (nargin == 2) |
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54 switch (opt) |
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55 case "periodic" |
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56 N = m; |
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57 case "symmetric" |
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58 ## Default option, same as no option specified. |
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59 otherwise |
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60 error ('hanning: window type must be either "periodic" or "symmetric"'); |
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61 endswitch |
3191 | 62 endif |
3426 | 63 |
3191 | 64 if (m == 1) |
65 c = 1; | |
66 else | |
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67 m -= 1; |
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68 c = 0.5 - 0.5 * cos (2 * pi * (0 : m)' / N); |
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69 endif |
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70 |
3191 | 71 endfunction |
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72 |
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73 |
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74 %!assert (hanning (1), 1) |
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75 %!assert (hanning (2), zeros (2,1)) |
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76 %!assert (hanning (15), flip (hanning (15)), 5*eps) |
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77 %!assert (hanning (16), flip (hanning (16)), 5*eps) |
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78 %!test |
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79 %! N = 15; |
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80 %! A = hanning (N); |
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81 %! assert (A(ceil (N/2)), 1); |
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82 |
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83 %!assert (hanning (15), hanning (15, "symmetric")) |
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84 %!assert (hanning (16)(1:15), hanning (15, "periodic")) |
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85 %!test |
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86 %! N = 16; |
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87 %! A = hanning (N, "periodic"); |
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88 %! assert (A(N/2 + 1), 1); |
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89 |
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90 %!error <Invalid call> hanning () |
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91 %!error hanning (0.5) |
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92 %!error hanning (-1) |
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93 %!error hanning (ones (1,4)) |
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94 %!error hanning (1, "invalid") |