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[586fe9]: wavelets / wfilt_optfs.m Maximize Restore History

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wfilt_optfs.m    136 lines (132 with data), 2.6 kB

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function [h,g,a,info] = wfilt_optfs(N)
%WFILT_OPTFS Improved frequency separation filters
% Usage: [h,g,a] = wfilt_optfs(N);
%
% `[h,g,a]=wfilt_optfs(N)` returns wavelet filters with better frequency
% band sepparation (compared to Daubeschies filters of the same length)
% having at least two vanishing moments.
%
% Examples:
% ---------
% :::
%
% wfiltinfo('optfs4');
%
% References: paiva2012opt
%
%
a = [2,2];
h = cell(2,1);
switch(N)
case 1
h{1}=[0.3452
0.7549
0.5039
-0.0636
-0.2117
0.0476
0.0697
-0.0319];
case 2
h{1}=[0.2657
0.7055
0.5955
0.0292
-0.2416
-0.0248
0.1238
-0.0165
-0.0363
0.0137];
case 3
h{1}=[0.2670
0.6761
0.6096
0.0688
-0.2564
-0.0577
0.1334
0.0297
-0.0792
0.0031
0.0327
-0.0129];
case 4
h{1}=[0.2183
0.6298
0.6509
0.1535
-0.2487
-0.1174
0.1317
0.0687
-0.0788
-0.0345
0.0534
0.0002
-0.0197
0.0068];
case 5
h{1}=[0.2181
0.6109
0.6541
0.1797
-0.2430
-0.1420
0.1249
0.0959
-0.0806
-0.0552
0.0531
0.0286
-0.0378
-0.0043
0.0184
-0.0066];
case 6
h{1}=[0.1847
0.5703
0.6728
0.2491
-0.2185
-0.1849
0.1026
0.1253
-0.0624
-0.0823
0.0455
0.0486
-0.0329
-0.0265
0.0273
0.0036
-0.0120
0.0039];
case 7
h{1}=[0.1838
0.5566
0.6719
0.2682
-0.2071
-0.2012
0.0905
0.1406
-0.0529
-0.0958
0.0359
0.0657
-0.0301
-0.0400
0.0240
0.0220
-0.0203
-0.0052
0.0114
-0.0038];
otherwise
error('%s: No such optimized orthonormal wavelet filter.',upper(mfilename));
end;
flen = length(h{1});
h{2} = (-1).^(1:flen).'.*h{1}(end:-1:1);
g = h;
info.istight = 1;