1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
121
122
123
124
125
126
127
128
129
130
131
132
133
134
135
136
137
138
139
140
141
142
143
144
145
146
147
148
149
150
151
152
153
154
155
156
157
158
159
160
161
162
163
164
165
166
167
168
169
170
171
172
173
174
175
176
177
178
|
function test_failed = test_ufwt(verbose)
%-*- texinfo -*-
%@deftypefn {Function} test_ufwt
%@verbatim
%TEST_COMP_FWT_ALL
%
% Checks perfect reconstruction of the wavelet transform of different
% filters
%
%@end verbatim
%@strong{Url}: @url{http://ltfat.github.io/doc/testing/test_ufwt.html}
%@end deftypefn
% Copyright (C) 2005-2016 Peter L. Soendergaard <peter@sonderport.dk>.
% This file is part of LTFAT version 2.2.0
%
% This program is free software: you can redistribute it and/or modify
% it under the terms of the GNU General Public License as published by
% the Free Software Foundation, either version 3 of the License, or
% (at your option) any later version.
%
% This program is distributed in the hope that it will be useful,
% but WITHOUT ANY WARRANTY; without even the implied warranty of
% MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the
% GNU General Public License for more details.
%
% You should have received a copy of the GNU General Public License
% along with this program. If not, see <http://www.gnu.org/licenses/>.
disp('========= TEST UFWT ============');
global LTFAT_TEST_TYPE;
tolerance = 1e-8;
if strcmpi(LTFAT_TEST_TYPE,'single')
tolerance = 1e-5;
end
test_failed = 0;
if(nargin>0)
verbose = 1;
which comp_ufwt -all
which comp_iufwt -all
else
verbose = 0;
end
% curDir = pwd;
% mexDir = [curDir(1:strfind(pwd,'\ltfat')+5),'\mex'];
%
% rmpath(mexDir);
% which comp_fwt_all
% addpath(mexDir)
% which comp_fwt_all
type = {'undec'};
ext = {'per'};
prefix = 'wfilt_';
test_filters = {
{'db',1}
{'db',3}
{'db',10}
{'spline',4,4}
%{'lemaire',80} % not exact reconstruction
{'hden',3} % only one with 3 filters and different
%subsampling factors, not working
{'algmband',2} % 4 filters, subsampling by the factor of 4!, really long identical lowpass filter
%{'symds',1}
{'algmband',1} % 3 filters, sub sampling factor 3, even length
{'sym',4}
{'sym',9}
%{'symds',2}
% {'symds',3}
% {'symds',4}
% {'symds',5}
{'spline',3,5}
{'spline',3,11}
%{'spline',11,3} % error too high
%{'maxflat',2}
%{'maxflat',11}
%{'optfs',7} % bad precision of filter coefficients
%{'remez',20,10,0.1} % no perfect reconstruction
{'dden',1}
{'dden',2}
% {'dden',3}
{'dden',4}
{'dden',5}
% {'dden',6}
{'dgrid',1}
{'dgrid',2}
{'dgrid',3}
%{'algmband',1}
{'mband',1}
{'symorth',1}
{'symtight',2}
%{'hden',3}
%{'hden',2}
%{'hden',1}
%{'algmband',2}
%{'apr',1} % complex filter values, odd length filters, no perfect reconstruction
};
%ext = {'per','zpd','sym','symw','asym','asymw','ppd','sp0'};
scaling = {'scale','sqrt','noscale'};
scalingInv = scaling(end:-1:1);
J = 4;
%testLen = 10*2^J-1;%(2^J-1);
testLen = 53;
for scIdx = 1:numel(scaling)
for extIdx=1:length(ext)
%for inLenRound=0:2^J-1
for inLenRound=0:0
%f = randn(14576,1);
f = tester_rand(testLen+inLenRound,1);
%f = 1:testLen-1;f=f';
%f = 0:30;f=f';
% multiple channels
%f = [2*f,f,0.1*f];
for typeIdx=1:length(type)
typeCur = type{typeIdx};
extCur = ext{extIdx};
for tt=1:length(test_filters)
actFilt = test_filters{tt};
%fname = strcat(prefix,actFilt{1});
%w = fwtinit(test_filters{tt});
for jj=1:J
if verbose, fprintf('J=%d, filt=%s, inLen=%d\n',jj,actFilt{1},length(f)); end;
[c,info] = ufwt(f,test_filters{tt},jj,scaling{scIdx});
%[cvec ,Lc] = cell2pack(c);
%c = pack2cell(cvec,Lc);
fhat = iufwt(c,test_filters{tt},jj,scalingInv{scIdx});
err = norm(f-fhat,'fro');
[test_failed,fail]=ltfatdiditfail(err,test_failed,tolerance);
if(~verbose)
fprintf('J=%d, %5.5s, %s, L=%d, err=%.4e %s \n',jj,actFilt{1},scaling{scIdx},length(f),err,fail);
end
if strcmpi(fail,'FAILED')
if verbose
fprintf('err=%d, J=%d, filt=%s, inLen=%d',err,jj,actFilt{1},testLen+inLenRound);
figure(1);clf;stem([f,fhat]);
figure(2);clf;stem([f-fhat]);
break;
end
end
fhat2 = iufwt(c,info);
err = norm(f-fhat2,'fro');
[test_failed,fail]=ltfatdiditfail(err,test_failed,tolerance);
fprintf('INFO J=%d, %5.5s, %s, L=%d, err=%.4e %s \n',jj,actFilt{1},scaling{scIdx},length(f),err,fail);
end
if test_failed && verbose, break; end;
end
if test_failed && verbose, break; end;
end
if test_failed && verbose, break; end;
end
if test_failed && verbose, break; end;
end
end
|
