Mercurial > hg > octave-lyh

annotate scripts/polynomial/deconv.m @ 14200:64d9f33313cc stable rc-3-6-0-1

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
3.6.0-rc1 release candidate * configure.ac (AC_INIT): Version is now 3.6.0-rc1. (OCTAVE_RELEASE_DATE): Now 2012-01-12.
author John W. Eaton <jwe@octave.org>
date Thu, 12 Jan 2012 14:31:50 -0500
parents 72c96de7a403
children f3d52523cde1
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
14138
72c96de7a403 maint: update copyright notices for 2012
John W. Eaton <jwe@octave.org>
parents: 14104
diff changeset
1 ## Copyright (C) 1994-2012 John W. Eaton
2313
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
2 ##
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
3 ## This file is part of Octave.
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
4 ##
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
5 ## Octave is free software; you can redistribute it and/or modify it
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
6 ## under the terms of the GNU General Public License as published by
7016
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 7001
diff changeset
7 ## the Free Software Foundation; either version 3 of the License, or (at
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 7001
diff changeset
8 ## your option) any later version.
2313
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
9 ##
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
10 ## Octave is distributed in the hope that it will be useful, but
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
13 ## General Public License for more details.
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
14 ##
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
15 ## You should have received a copy of the GNU General Public License
7016
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 7001
diff changeset
16 ## along with Octave; see the file COPYING. If not, see
93c65f2a5668 [project @ 2007-10-12 06:40:56 by jwe]
jwe
parents: 7001
diff changeset
17 ## <http://www.gnu.org/licenses/>.
1025
f558749713f1 [project @ 1995-01-11 20:52:10 by jwe]
jwe
parents: 904
diff changeset
18
3368
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
19 ## -*- texinfo -*-
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
20 ## @deftypefn {Function File} {} deconv (@var{y}, @var{a})
2311
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
21 ## Deconvolve two vectors.
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3368
diff changeset
22 ##
3368
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
23 ## @code{[b, r] = deconv (y, a)} solves for @var{b} and @var{r} such that
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
24 ## @code{y = conv (a, b) + r}.
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3368
diff changeset
25 ##
3368
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
26 ## If @var{y} and @var{a} are polynomial coefficient vectors, @var{b} will
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
27 ## contain the coefficients of the polynomial quotient and @var{r} will be
7001
8b0cfeb06365 [project @ 2007-10-10 18:02:59 by jwe]
jwe
parents: 6046
diff changeset
28 ## a remainder polynomial of lowest order.
14104
614505385171 doc: Overhaul docstrings for polynomial functions.
Rik <octave@nomad.inbox5.com>
parents: 13963
diff changeset
29 ## @seealso{conv, residue}
3368
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
30 ## @end deftypefn
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
31
3202
44d82b369c78 [project @ 1998-10-29 20:27:57 by jwe]
jwe
parents: 2847
diff changeset
32 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
2312
204cc7db6f4a [project @ 1996-07-11 21:20:36 by jwe]
jwe
parents: 2311
diff changeset
33 ## Created: June 1994
204cc7db6f4a [project @ 1996-07-11 21:20:36 by jwe]
jwe
parents: 2311
diff changeset
34 ## Adapted-By: jwe
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
35
2312
204cc7db6f4a [project @ 1996-07-11 21:20:36 by jwe]
jwe
parents: 2311
diff changeset
36 function [b, r] = deconv (y, a)
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
37
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
38 if (nargin != 2)
6046
34f96dd5441b [project @ 2006-10-10 16:10:25 by jwe]
jwe
parents: 5642
diff changeset
39 print_usage ();
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
40 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
41
4030
22bd65326ec1 [project @ 2002-08-09 18:58:13 by jwe]
jwe
parents: 3754
diff changeset
42 if (! (isvector (y) && isvector (a)))
10635
d1978e7364ad Print name of function in error() string messages.
Rik <octave@nomad.inbox5.com>
parents: 10224
diff changeset
43 error("deconv: both arguments must be vectors");
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
44 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
45
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
46 la = length (a);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
47 ly = length (y);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
48
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
49 lb = ly - la + 1;
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
50
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
51 ## Ensure A is oriented as Y.
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
52 if (diff (size (y)(1:2)) * diff (size (a)(1:2)) < 0)
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
53 a = permute (a, [2, 1]);
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
54 endif
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
55
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
56 if (ly > la)
10740
6cc789b3f0e3 scripts/polynomial/deconv.m: ensure that the orientation of the third input to 'filter' matches the orientation of 'y'.
Soren Hauberg <hauberg@gmail.com>
parents: 10635
diff changeset
57 x = zeros (size (y) - size (a) + 1);
6cc789b3f0e3 scripts/polynomial/deconv.m: ensure that the orientation of the third input to 'filter' matches the orientation of 'y'.
Soren Hauberg <hauberg@gmail.com>
parents: 10635
diff changeset
58 x (1) = 1;
6cc789b3f0e3 scripts/polynomial/deconv.m: ensure that the orientation of the third input to 'filter' matches the orientation of 'y'.
Soren Hauberg <hauberg@gmail.com>
parents: 10635
diff changeset
59 b = filter (y, a, x);
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
60 elseif (ly == la)
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
61 b = filter (y, a, 1);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
62 else
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
63 b = 0;
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
64 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
65
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
66 lc = la + length (b) - 1;
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
67 if (ly == lc)
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
68 r = y - conv (a, b);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
69 else
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
70 ## Respect the orientation of Y"
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
71 if (size (y, 1) <= size (y, 2))
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
72 r = [(zeros (1, lc - ly)), y] - conv (a, b);
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
73 else
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
74 r = [(zeros (lc - ly, 1)); y] - conv (a, b);
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
75 endif
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
76 if (ly < la)
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
77 ## Trim the remainder is equal to the length of Y.
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
78 r = r(end-(length(y)-1):end);
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
79 endif
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
80 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
81
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
82 endfunction
7411
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
83
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
84 %!test
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
85 %! [b, r] = deconv ([3, 6, 9, 9], [1, 2, 3]);
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
86 %! assert(all (all (b == [3, 0])) && all (all (r == [0, 0, 0, 9])));
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
87
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
88 %!test
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
89 %! [b, r] = deconv ([3, 6], [1, 2, 3]);
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
90 %! assert(b == 0 && all (all (r == [3, 6])));
7411
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
91
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
92 %!test
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
93 %! [b, r] = deconv ([3, 6], [1; 2; 3]);
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
94 %! assert(b == 0 && all (all (r == [3, 6])));
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
95
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
96 %!test
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
97 %! [b,r] = deconv ([3; 6], [1; 2; 3]);
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
98 %! assert (b == 0 && all (all (r == [3; 6])))
7411
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
99
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
100 %!test
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
101 %! [b, r] = deconv ([3; 6], [1, 2, 3]);
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
102 %! assert (b == 0 && all (all (r == [3; 6])))
7411
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
103
10740
6cc789b3f0e3 scripts/polynomial/deconv.m: ensure that the orientation of the third input to 'filter' matches the orientation of 'y'.
Soren Hauberg <hauberg@gmail.com>
parents: 10635
diff changeset
104 %!test
6cc789b3f0e3 scripts/polynomial/deconv.m: ensure that the orientation of the third input to 'filter' matches the orientation of 'y'.
Soren Hauberg <hauberg@gmail.com>
parents: 10635
diff changeset
105 %! assert (deconv ((1:3)',[1, 1]), [1; 1])
6cc789b3f0e3 scripts/polynomial/deconv.m: ensure that the orientation of the third input to 'filter' matches the orientation of 'y'.
Soren Hauberg <hauberg@gmail.com>
parents: 10635
diff changeset
106
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
107 %!error [b, r] = deconv ([3, 6], [1, 2; 3, 4]);
7411
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
108
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
109 %!error [b, r] = deconv ([3, 6; 1, 2], [1, 2, 3]);
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
110