Mercurial > hg > octave-lyh
annotate scripts/signal/unwrap.m @ 13500:40bd465b6c79
Removed old gui.
| author | Jacob Dawid <jacob.dawid@googlemail.com> |
|---|---|
| date | Sun, 17 Jul 2011 17:42:43 +0200 |
| parents | 2783fa95cab7 |
| children | 7cdf39348879 |
| rev | line source |
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| 11523 | 1 ## Copyright (C) 2000-2011 Bill Lash |
| 3942 | 2 ## |
| 3 ## This file is part of Octave. | |
| 4 ## | |
| 5 ## Octave is free software; you can redistribute it and/or modify it | |
| 6 ## under the terms of the GNU General Public License as published by | |
| 7016 | 7 ## the Free Software Foundation; either version 3 of the License, or (at |
| 8 ## your option) any later version. | |
| 3942 | 9 ## |
| 10 ## Octave is distributed in the hope that it will be useful, but | |
| 11 ## WITHOUT ANY WARRANTY; without even the implied warranty of | |
| 12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU | |
| 13 ## General Public License for more details. | |
| 14 ## | |
| 15 ## You should have received a copy of the GNU General Public License | |
| 7016 | 16 ## along with Octave; see the file COPYING. If not, see |
| 17 ## <http://www.gnu.org/licenses/>. | |
| 3942 | 18 |
| 19 ## -*- texinfo -*- | |
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20 ## @deftypefn {Function File} {@var{b} =} unwrap (@var{x}) |
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21 ## @deftypefnx {Function File} {@var{b} =} unwrap (@var{x}, @var{tol}) |
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22 ## @deftypefnx {Function File} {@var{b} =} unwrap (@var{x}, @var{tol}, @var{dim}) |
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23 ## |
| 3942 | 24 ## Unwrap radian phases by adding multiples of 2*pi as appropriate to |
| 25 ## remove jumps greater than @var{tol}. @var{tol} defaults to pi. | |
| 26 ## | |
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27 ## Unwrap will work along the dimension @var{dim}. If @var{dim} |
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28 ## is unspecified it defaults to the first non-singleton dimension. |
| 3942 | 29 ## @end deftypefn |
| 30 | |
| 31 ## Author: Bill Lash <lash@tellabs.com> | |
| 32 | |
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33 function retval = unwrap (x, tol, dim) |
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34 |
| 3942 | 35 if (nargin < 1 || nargin > 3) |
| 6046 | 36 print_usage (); |
| 3942 | 37 endif |
| 38 | |
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39 if (!isnumeric(x)) |
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40 error ("unwrap: X must be a numeric matrix or vector"); |
| 3942 | 41 endif |
| 42 | |
| 4862 | 43 if (nargin < 2 || isempty (tol)) |
| 3942 | 44 tol = pi; |
| 45 endif | |
| 46 | |
| 47 ## Don't let anyone use a negative value for TOL. | |
| 48 tol = abs (tol); | |
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49 |
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50 nd = ndims (x); |
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51 sz = size (x); |
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52 if (nargin == 3) |
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53 if (!(isscalar (dim) && dim == fix (dim)) |
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54 || !(1 <= dim && dim <= nd)) |
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55 error ("unwrap: DIM must be an integer and a valid dimension"); |
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56 endif |
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57 else |
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58 ## Find the first non-singleton dimension. |
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59 (dim = find (sz > 1, 1)) || (dim = 1); |
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60 endif |
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61 |
| 3942 | 62 rng = 2*pi; |
| 7208 | 63 m = sz(dim); |
| 3942 | 64 |
| 65 ## Handle case where we are trying to unwrap a scalar, or only have | |
| 66 ## one sample in the specified dimension. | |
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67 if (m == 1) |
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68 retval = x; |
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69 return; |
| 3942 | 70 endif |
| 71 | |
| 72 ## Take first order difference to see so that wraps will show up | |
| 73 ## as large values, and the sign will show direction. | |
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74 idx = repmat ({':'}, nd, 1); |
| 7208 | 75 idx{dim} = [1,1:m-1]; |
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76 d = x(idx{:}) - x; |
| 3942 | 77 |
| 78 ## Find only the peaks, and multiply them by the range so that there | |
| 79 ## are kronecker deltas at each wrap point multiplied by the range | |
| 80 ## value. | |
| 81 p = rng * (((d > tol) > 0) - ((d < -tol) > 0)); | |
| 82 | |
| 83 ## Now need to "integrate" this so that the deltas become steps. | |
| 4862 | 84 r = cumsum (p, dim); |
| 3942 | 85 |
| 86 ## Now add the "steps" to the original data and put output in the | |
| 87 ## same shape as originally. | |
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88 retval = x + r; |
| 3942 | 89 |
| 90 endfunction | |
| 7411 | 91 |
| 92 %!function t = xassert(a,b,tol) | |
| 93 %! if (nargin == 1) | |
| 94 %! t = all(a(:)); | |
| 95 %! else | |
| 96 %! if (nargin == 2) | |
| 97 %! tol = 0; | |
| 98 %! endif | |
| 99 %! if (any (size(a) != size(b))) | |
| 100 %! t = 0; | |
| 101 %! elseif (any (abs(a(:) - b(:)) > tol)) | |
| 102 %! t = 0; | |
| 103 %! else | |
| 104 %! t = 1; | |
| 105 %! endif | |
| 106 %! endif | |
| 107 %! | |
| 108 %!test | |
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109 %! |
| 7411 | 110 %! i = 0; |
| 111 %! t = []; | |
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112 %! |
| 7411 | 113 %! r = [0:100]; # original vector |
| 114 %! w = r - 2*pi*floor((r+pi)/(2*pi)); # wrapped into [-pi,pi] | |
| 115 %! tol = 1e3*eps; # maximum expected deviation | |
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116 %! |
| 7411 | 117 %! t(++i) = xassert(r, unwrap(w), tol); #unwrap single row |
| 118 %! t(++i) = xassert(r', unwrap(w'), tol); #unwrap single column | |
| 119 %! t(++i) = xassert([r',r'], unwrap([w',w']), tol); #unwrap 2 columns | |
| 120 %! t(++i) = xassert([r;r], unwrap([w;w],[],2), tol); #verify that dim works | |
| 121 %! t(++i) = xassert(r+10, unwrap(10+w), tol); #verify that r(1)>pi works | |
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122 %! |
| 7411 | 123 %! t(++i) = xassert(w', unwrap(w',[],2)); #unwrap col by rows should not change it |
| 124 %! t(++i) = xassert(w, unwrap(w,[],1)); #unwrap row by cols should not change it | |
| 125 %! t(++i) = xassert([w;w], unwrap([w;w])); #unwrap 2 rows by cols should not change them | |
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126 %! |
| 7411 | 127 %! ## verify that setting tolerance too low will cause bad results. |
| 128 %! t(++i) = xassert(any(abs(r - unwrap(w,0.8)) > 100)); | |
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129 %! |
| 7411 | 130 %! assert(all(t)); |
| 131 |