annotate scripts/polynomial/conv.m @ 2847:8b262e771614

[project @ 1997-03-27 16:18:26 by jwe]
author jwe
date Thu, 27 Mar 1997 16:19:58 +0000
parents 2b5c27299cde
children 44d82b369c78
Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
rev   line source
2847
8b262e771614 [project @ 1997-03-27 16:18:26 by jwe]
jwe
parents: 2716
diff changeset
1 ## Copyright (C) 1996, 1997 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
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
7 ## the Free Software Foundation; either version 2, or (at your option)
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
8 ## any later version.
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
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
16 ## along with Octave; see the file COPYING. If not, write to the Free
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
17 ## Software Foundation, 59 Temple Place - Suite 330, Boston, MA
5ca126254d15 [project @ 1996-07-11 21:25:22 by jwe]
jwe
parents: 2312
diff changeset
18 ## 02111-1307, USA.
1025
f558749713f1 [project @ 1995-01-11 20:52:10 by jwe]
jwe
parents: 904
diff changeset
19
2311
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
20 ## usage: conv (a, b)
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
21 ##
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
22 ## Convolve two vectors.
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
23 ##
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
24 ## y = conv (a, b) returns a vector of length equal to length (a) +
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
25 ## length (b) -1.
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
26 ##
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
27 ## If a and b are polynomial coefficient vectors, conv returns the
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
28 ## coefficients of the product polynomial.
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
29 ##
2325
b5568c31ee2c [project @ 1996-07-15 22:20:21 by jwe]
jwe
parents: 2313
diff changeset
30 ## SEE ALSO: deconv, poly, roots, residue, polyval, polyderiv, polyinteg
2311
2b5788792cad [project @ 1996-07-11 20:18:38 by jwe]
jwe
parents: 2303
diff changeset
31
2312
204cc7db6f4a [project @ 1996-07-11 21:20:36 by jwe]
jwe
parents: 2311
diff changeset
32 ## Author: Tony Richardson <amr@mpl.ucsd.edu>
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
204cc7db6f4a [project @ 1996-07-11 21:20:36 by jwe]
jwe
parents: 2311
diff changeset
35
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
36 function y = conv (a, b)
2325
b5568c31ee2c [project @ 1996-07-15 22:20:21 by jwe]
jwe
parents: 2313
diff changeset
37
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
38 if (nargin != 2)
1025
f558749713f1 [project @ 1995-01-11 20:52:10 by jwe]
jwe
parents: 904
diff changeset
39 usage ("conv(a, b)");
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
2716
2b5c27299cde [project @ 1997-02-22 08:40:55 by jwe]
jwe
parents: 2325
diff changeset
42 if (! (is_vector (a) && is_vector (b)))
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
43 error("conv: both arguments must be vectors");
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 lb = length (b);
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 ly = la + lb - 1;
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
50
2303
5cffc4b8de57 [project @ 1996-06-24 09:15:24 by jwe]
jwe
parents: 1887
diff changeset
51 ## Ensure that both vectors are row vectors.
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
52 if (rows (a) > 1)
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
53 a = reshape (a, 1, la);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
54 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
55 if (rows (b) > 1)
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
56 b = reshape (b, 1, lb);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
57 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
58
2303
5cffc4b8de57 [project @ 1996-06-24 09:15:24 by jwe]
jwe
parents: 1887
diff changeset
59 ## Use the shortest vector as the coefficent vector to filter.
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
60 if (la < lb)
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
61 if (ly > lb)
1337
52a3f38cbfeb [project @ 1995-08-25 02:00:18 by jwe]
jwe
parents: 1315
diff changeset
62 x = [b, (zeros (1, ly - lb))];
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
63 else
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
64 x = b;
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
65 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
66 y = filter (a, 1, x);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
67 else
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
68 if(ly > la)
1337
52a3f38cbfeb [project @ 1995-08-25 02:00:18 by jwe]
jwe
parents: 1315
diff changeset
69 x = [a, (zeros (1, ly - la))];
787
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
70 else
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
71 x = a;
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
72 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
73 y = filter (b, 1, x);
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
74 endif
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
75
c5d35bb139b6 [project @ 1994-10-11 00:34:13 by jwe]
jwe
parents:
diff changeset
76 endfunction