Mercurial > hg > octave-nkf

annotate scripts/polynomial/deconv.m @ 12118:973f585cfdf2 release-3-2-x

Find changesets by keywords (author, files, the commit message), revision number or hash, or revset expression.
include PTHREAD_CFLAGS in LINK_DEPS for liboctave
author Jaroslav Hajek <highegg@gmail.com>
date Fri, 22 Jan 2010 10:21:33 +0100
parents eb63fbe60fab
children f6e0404421f4
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
7017
a1dbe9d80eee [project @ 2007-10-12 21:27:11 by jwe]
jwe
parents: 7016
diff changeset
1 ## Copyright (C) 1994, 1995, 1996, 1997, 1998, 1999, 2000, 2002, 2004,
8920
eb63fbe60fab update copyright notices
John W. Eaton <jwe@octave.org>
parents: 8159
diff changeset
2 ## 2005, 2006, 2007, 2008 John W. Eaton
2313
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
3 ##
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
4 ## This file is part of Octave.
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
5 ##
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
6 ## 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
7 ## 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
8 ## 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
9 ## your option) any later version.
2313
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
10 ##
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
11 ## 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
12 ## WITHOUT ANY WARRANTY; without even the implied warranty of
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
13 ## 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
14 ## General Public License for more details.
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
15 ##
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
16 ## 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
17 ## 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
18 ## <http://www.gnu.org/licenses/>.
1025
f558749713f1 [project @ 1995-01-11 20:52:10 by jwe]
jwe
parents: 904
diff changeset
19
3368
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
20 ## -*- texinfo -*-
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
21 ## @deftypefn {Function File} {} deconv (@var{y}, @var{a})
2311
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
22 ## Deconvolve two vectors.
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3368
diff changeset
23 ##
3368
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
24 ## @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
25 ## @code{y = conv (a, b) + r}.
3426
f8dde1807dee [project @ 2000-01-13 08:40:00 by jwe]
jwe
parents: 3368
diff changeset
26 ##
3368
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
27 ## 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
28 ## 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
29 ## a remainder polynomial of lowest order.
5642
2618a0750ae6 [project @ 2006-03-06 21:26:48 by jwe]
jwe
parents: 5307
diff changeset
30 ## @seealso{conv, poly, roots, residue, polyval, polyderiv, polyinteg}
3368
a4cd1e9d9962 [project @ 1999-11-20 17:22:48 by jwe]
jwe
parents: 3202
diff changeset
31 ## @end deftypefn
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
32
3202
44d82b369c78 [project @ 1998-10-29 20:27:57 by jwe]
jwe
parents: 2847
diff changeset
33 ## Author: Tony Richardson <arichard@stark.cc.oh.us>
2312
204cc7db6f4a [project @ 1996-07-11 21:20:36 by jwe]
jwe
parents: 2311
diff changeset
34 ## Created: June 1994
204cc7db6f4a [project @ 1996-07-11 21:20:36 by jwe]
jwe
parents: 2311
diff changeset
35 ## Adapted-By: jwe
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
36
2312
204cc7db6f4a [project @ 1996-07-11 21:20:36 by jwe]
jwe
parents: 2311
diff changeset
37 function [b, r] = deconv (y, a)
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
38
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
39 if (nargin != 2)
6046
34f96dd5441b [project @ 2006-10-10 16:10:25 by jwe]
jwe
parents: 5642
diff changeset
40 print_usage ();
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
41 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
42
4030
22bd65326ec1 [project @ 2002-08-09 18:58:13 by jwe]
jwe
parents: 3754
diff changeset
43 if (! (isvector (y) && isvector (a)))
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
44 error("conv: both arguments must be vectors");
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
45 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
46
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
47 la = length (a);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
48 ly = length (y);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
49
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
50 lb = ly - la + 1;
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
51
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
52 ## 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
53 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
54 a = permute (a, [2, 1]);
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
55 endif
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
56
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
57 if (ly > la)
1337
52a3f38cbfeb [project @ 1995-08-25 02:00:18 by jwe]
jwe
parents: 1315
diff changeset
58 b = filter (y, a, [1, (zeros (1, ly - la))]);
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
59 elseif (ly == la)
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
60 b = filter (y, a, 1);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
61 else
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
62 b = 0;
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
63 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
64
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
65 lc = la + length (b) - 1;
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
66 if (ly == lc)
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
67 r = y - conv (a, b);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
68 else
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
69 ## Respect the orientation of Y"
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
70 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
71 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
72 else
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
73 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
74 endif
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
75 if (ly < la)
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
76 ## 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
77 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
78 endif
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
79 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
80
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
81 endfunction
7411
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
82
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
83 %!test
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
84 %! [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
85 %! 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
86
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
87 %!test
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
88 %! [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
89 %! assert(b == 0 && all (all (r == [3, 6])));
7411
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
90
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
91 %!test
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
92 %! [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
93 %! 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
94
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
95 %!test
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
96 %! [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
97 %! assert (b == 0 && all (all (r == [3; 6])))
7411
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
98
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
99 %!test
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
100 %! [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
101 %! assert (b == 0 && all (all (r == [3; 6])))
7411
83a8781b529d [project @ 2008-01-22 21:52:25 by jwe]
jwe
parents: 7017
diff changeset
102
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
103 %!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
104
8159
ccf38fc1057f deconv.m: Fix row/col orientation & length of output
Ben Abbott <bpabbott@mac.com>
parents: 7411
diff changeset
105 %!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
106