annotate scripts/signal/fftfilt.m @ 14363:f3d52523cde1

Use Octave coding conventions in all m-file %!test blocks * wavread.m, acosd.m, acot.m, acotd.m, acoth.m, acsc.m, acscd.m, acsch.m, asec.m, asecd.m, asech.m, asind.m, atand.m, cosd.m, cot.m, cotd.m, coth.m, csc.m, cscd.m, csch.m, sec.m, secd.m, sech.m, sind.m, tand.m, accumarray.m, accumdim.m, bitcmp.m, bitget.m, bitset.m, blkdiag.m, cart2pol.m, cart2sph.m, celldisp.m, chop.m, circshift.m, colon.m, common_size.m, cplxpair.m, cumtrapz.m, curl.m, dblquad.m, deal.m, divergence.m, flipdim.m, fliplr.m, flipud.m, genvarname.m, gradient.m, idivide.m, int2str.m, interp1.m, interp1q.m, interp2.m, interp3.m, interpft.m, interpn.m, isa.m, isdir.m, isequal.m, isequalwithequalnans.m, issquare.m, logspace.m, nargchk.m, narginchk.m, nargoutchk.m, nextpow2.m, nthargout.m, num2str.m, pol2cart.m, polyarea.m, postpad.m, prepad.m, profile.m, profshow.m, quadgk.m, quadv.m, randi.m, rat.m, repmat.m, rot90.m, rotdim.m, shift.m, shiftdim.m, sph2cart.m, structfun.m, trapz.m, triplequad.m, convhull.m, dsearch.m, dsearchn.m, griddata3.m, griddatan.m, rectint.m, tsearchn.m, __makeinfo__.m, doc.m, get_first_help_sentence.m, help.m, type.m, unimplemented.m, which.m, imread.m, imwrite.m, dlmwrite.m, fileread.m, is_valid_file_id.m, strread.m, textread.m, textscan.m, commutation_matrix.m, cond.m, condest.m, cross.m, duplication_matrix.m, expm.m, housh.m, isdefinite.m, ishermitian.m, issymmetric.m, logm.m, normest.m, null.m, onenormest.m, orth.m, planerot.m, qzhess.m, rank.m, rref.m, trace.m, vech.m, ans.m, bincoeff.m, bug_report.m, bzip2.m, comma.m, compare_versions.m, computer.m, edit.m, fileparts.m, fullfile.m, getfield.m, gzip.m, info.m, inputname.m, isappdata.m, isdeployed.m, ismac.m, ispc.m, isunix.m, list_primes.m, ls.m, mexext.m, namelengthmax.m, news.m, orderfields.m, paren.m, recycle.m, rmappdata.m, semicolon.m, setappdata.m, setfield.m, substruct.m, symvar.m, ver.m, version.m, warning_ids.m, xor.m, fminbnd.m, fsolve.m, fzero.m, lsqnonneg.m, optimset.m, pqpnonneg.m, sqp.m, matlabroot.m, __gnuplot_drawnow__.m, __plt_get_axis_arg__.m, ancestor.m, cla.m, clf.m, close.m, colorbar.m, colstyle.m, comet3.m, contourc.m, figure.m, gca.m, gcbf.m, gcbo.m, gcf.m, ginput.m, graphics_toolkit.m, gtext.m, hggroup.m, hist.m, hold.m, isfigure.m, ishghandle.m, ishold.m, isocolors.m, isonormals.m, isosurface.m, isprop.m, legend.m, line.m, loglog.m, loglogerr.m, meshgrid.m, ndgrid.m, newplot.m, orient.m, patch.m, plot3.m, plotyy.m, __print_parse_opts__.m, quiver3.m, refreshdata.m, ribbon.m, semilogx.m, semilogxerr.m, semilogy.m, stem.m, stem3.m, subplot.m, title.m, uigetfile.m, view.m, whitebg.m, compan.m, conv.m, deconv.m, mkpp.m, mpoles.m, pchip.m, poly.m, polyaffine.m, polyder.m, polyfit.m, polygcd.m, polyint.m, polyout.m, polyval.m, polyvalm.m, ppder.m, ppint.m, ppjumps.m, ppval.m, residue.m, roots.m, spline.m, intersect.m, ismember.m, powerset.m, setdiff.m, setxor.m, union.m, unique.m, autoreg_matrix.m, bartlett.m, blackman.m, detrend.m, fftconv.m, fftfilt.m, fftshift.m, freqz.m, hamming.m, hanning.m, ifftshift.m, sinc.m, sinetone.m, sinewave.m, unwrap.m, bicg.m, bicgstab.m, gmres.m, gplot.m, nonzeros.m, pcg.m, pcr.m, spaugment.m, spconvert.m, spdiags.m, speye.m, spfun.m, spones.m, sprand.m, sprandsym.m, spstats.m, spy.m, svds.m, treelayout.m, bessel.m, beta.m, betaln.m, factor.m, factorial.m, isprime.m, lcm.m, legendre.m, nchoosek.m, nthroot.m, perms.m, pow2.m, primes.m, reallog.m, realpow.m, realsqrt.m, hadamard.m, hankel.m, hilb.m, invhilb.m, magic.m, rosser.m, vander.m, __finish__.m, center.m, cloglog.m, corr.m, cov.m, gls.m, histc.m, iqr.m, kendall.m, kurtosis.m, logit.m, mahalanobis.m, mean.m, meansq.m, median.m, mode.m, moment.m, ols.m, ppplot.m, prctile.m, probit.m, quantile.m, range.m, ranks.m, run_count.m, runlength.m, skewness.m, spearman.m, statistics.m, std.m, table.m, var.m, zscore.m, betacdf.m, betainv.m, betapdf.m, betarnd.m, binocdf.m, binoinv.m, binopdf.m, binornd.m, cauchy_cdf.m, cauchy_inv.m, cauchy_pdf.m, cauchy_rnd.m, chi2cdf.m, chi2inv.m, chi2pdf.m, chi2rnd.m, discrete_cdf.m, discrete_inv.m, discrete_pdf.m, discrete_rnd.m, empirical_cdf.m, empirical_inv.m, empirical_pdf.m, empirical_rnd.m, expcdf.m, expinv.m, exppdf.m, exprnd.m, fcdf.m, finv.m, fpdf.m, frnd.m, gamcdf.m, gaminv.m, gampdf.m, gamrnd.m, geocdf.m, geoinv.m, geopdf.m, geornd.m, hygecdf.m, hygeinv.m, hygepdf.m, hygernd.m, kolmogorov_smirnov_cdf.m, laplace_cdf.m, laplace_inv.m, laplace_pdf.m, laplace_rnd.m, logistic_cdf.m, logistic_inv.m, logistic_pdf.m, logistic_rnd.m, logncdf.m, logninv.m, lognpdf.m, lognrnd.m, nbincdf.m, nbininv.m, nbinpdf.m, nbinrnd.m, normcdf.m, norminv.m, normpdf.m, normrnd.m, poisscdf.m, poissinv.m, poisspdf.m, poissrnd.m, stdnormal_cdf.m, stdnormal_inv.m, stdnormal_pdf.m, stdnormal_rnd.m, tcdf.m, tinv.m, tpdf.m, trnd.m, unidcdf.m, unidinv.m, unidpdf.m, unidrnd.m, unifcdf.m, unifinv.m, unifpdf.m, unifrnd.m, wblcdf.m, wblinv.m, wblpdf.m, wblrnd.m, kolmogorov_smirnov_test.m, kruskal_wallis_test.m, base2dec.m, bin2dec.m, blanks.m, cstrcat.m, deblank.m, dec2base.m, dec2bin.m, dec2hex.m, findstr.m, hex2dec.m, index.m, isletter.m, mat2str.m, rindex.m, str2num.m, strcat.m, strjust.m, strmatch.m, strsplit.m, strtok.m, strtrim.m, strtrunc.m, substr.m, validatestring.m, demo.m, example.m, fail.m, speed.m, addtodate.m, asctime.m, clock.m, ctime.m, date.m, datenum.m, datetick.m, datevec.m, eomday.m, etime.m, is_leap_year.m, now.m: Use Octave coding conventions in all m-file %!test blocks
author Rik <octave@nomad.inbox5.com>
date Mon, 13 Feb 2012 07:29:44 -0800
parents 72c96de7a403
children 586972e3ea7a
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rev   line source
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72c96de7a403 maint: update copyright notices for 2012
John W. Eaton <jwe@octave.org>
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1 ## Copyright (C) 1994-2012 John W. Eaton
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2 ##
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3 ## This file is part of Octave.
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4 ##
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5 ## Octave is free software; you can redistribute it and/or modify it
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6 ## under the terms of the GNU General Public License as published by
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7 ## the Free Software Foundation; either version 3 of the License, or (at
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8 ## your option) any later version.
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9 ##
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10 ## Octave is distributed in the hope that it will be useful, but
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11 ## WITHOUT ANY WARRANTY; without even the implied warranty of
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12 ## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the GNU
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13 ## General Public License for more details.
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14 ##
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15 ## You should have received a copy of the GNU General Public License
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16 ## along with Octave; see the file COPYING. If not, see
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17 ## <http://www.gnu.org/licenses/>.
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18
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19 ## -*- texinfo -*-
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20 ## @deftypefn {Function File} {} fftfilt (@var{b}, @var{x}, @var{n})
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21 ##
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22 ## With two arguments, @code{fftfilt} filters @var{x} with the FIR filter
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23 ## @var{b} using the FFT.
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24 ##
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25 ## Given the optional third argument, @var{n}, @code{fftfilt} uses the
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26 ## overlap-add method to filter @var{x} with @var{b} using an N-point FFT.
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27 ##
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28 ## If @var{x} is a matrix, filter each column of the matrix.
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29 ## @seealso{filter, filter2}
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30 ## @end deftypefn
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31
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32 ## Author: Kurt Hornik <Kurt.Hornik@wu-wien.ac.at>
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33 ## Created: 3 September 1994
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34 ## Adapted-By: jwe
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35
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36 function y = fftfilt (b, x, n)
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37
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38 ## If N is not specified explicitly, we do not use the overlap-add
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39 ## method at all because loops are really slow. Otherwise, we only
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40 ## ensure that the number of points in the FFT is the smallest power
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41 ## of two larger than N and length(b). This could result in length
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42 ## one blocks, but if the user knows better ...
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43
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44 if (nargin < 2 || nargin > 3)
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45 print_usage ();
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46 endif
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47
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48 transpose = (rows (x) == 1);
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49
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50 if (transpose)
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51 x = x.';
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52 endif
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53
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54 [r_x, c_x] = size (x);
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55 [r_b, c_b] = size (b);
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56
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57 if (! isvector (b))
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58 error ("fftfilt: B must be a vector");
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59 endif
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60
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61 if (ndims (x) != 2)
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62 error ("fftfilt: X must be a 1-D or 2-D array");
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63 endif
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64
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65 l_b = r_b * c_b;
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66 b = reshape (b, l_b, 1);
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67
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68 if (nargin == 2)
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69 ## Use FFT with the smallest power of 2 which is >= length (x) +
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70 ## length (b) - 1 as number of points ...
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71 n = 2 ^ nextpow2 (r_x + l_b - 1);
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72 B = fft (b, n);
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73 y = ifft (fft (x, n) .* B(:, ones (1, c_x)));
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74 else
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75 ## Use overlap-add method ...
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76 if (! (isscalar (n)))
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77 error ("fftfilt: N has to be a scalar");
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78 endif
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79 n = 2 ^ nextpow2 (max ([n, l_b]));
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80 L = n - l_b + 1;
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81 B = fft (b, n);
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82 B = B(:, ones (c_x,1));
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83 R = ceil (r_x / L);
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84 y = zeros (r_x, c_x);
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85 for r = 1:R;
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86 lo = (r - 1) * L + 1;
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87 hi = min (r * L, r_x);
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88 tmp = zeros (n, c_x);
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89 tmp(1:(hi-lo+1),:) = x(lo:hi,:);
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90 tmp = ifft (fft (tmp) .* B);
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91 hi = min (lo+n-1, r_x);
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92 y(lo:hi,:) = y(lo:hi,:) + tmp(1:(hi-lo+1),:);
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93 endfor
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94 endif
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95
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96 y = y(1:r_x, :);
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97 if (transpose)
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98 y = y.';
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99 endif
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100
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101 ## Final cleanups: If both x and b are real, y should be real.
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102 ## If both x and b are integer, y should be integer.
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103
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104 if (isreal (b) && isreal (x))
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105 y = real (y);
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106 endif
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107 if (! any (b - fix (b)))
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108 idx = !any (x - fix (x));
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109 y(:, idx) = round (y(:, idx));
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110 endif
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111
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112 endfunction
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113
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114
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115 %!shared b, x, r
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116 %!test
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117 %! b = [1 1];
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118 %! x = [1, zeros(1,9)];
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119 %! assert (fftfilt (b, x ), [1 1 0 0 0 0 0 0 0 0] , eps);
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120 %! assert (fftfilt (b, x.'), [1 1 0 0 0 0 0 0 0 0].', eps);
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121 %! assert (fftfilt (b.',x ), [1 1 0 0 0 0 0 0 0 0] , eps);
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122 %! assert (fftfilt (b.',x.'), [1 1 0 0 0 0 0 0 0 0].', eps);
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123
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124 %!test
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125 %! r = sqrt (1/2) * (1+i);
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126 %! b = b*r;
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127 %! assert (fftfilt (b, x ), r*[1 1 0 0 0 0 0 0 0 0] , eps);
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128 %! assert (fftfilt (b, r*x), r*r*[1 1 0 0 0 0 0 0 0 0], eps);
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129 %! assert (fftfilt (b, x.'), r*[1 1 0 0 0 0 0 0 0 0].', eps);
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130
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131 %!test
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132 %! b = [1 1];
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133 %! x = zeros (10,3); x(1,1)=-1; x(1,2)=1;
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134 %! y0 = zeros (10,3); y0(1:2,1)=-1; y0(1:2,2)=1;
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135 %! y = fftfilt (b, x);
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136 %! assert (y,y0);
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137
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138 %!test
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139 %! b = rand (10, 1);
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140 %! x = rand (10, 1);
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141 %! y0 = filter (b, 1, x);
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142 %! y = filter (b, 1, x);
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143 %! assert (y, y0);
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144
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145 %% Test input validation
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146 %!error fftfilt (1)
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147 %!error fftfilt (1, 2, 3, 4)
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148 %!error fftfilt (ones (2), 1)
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149 %!error fftfilt (2, ones (3,3,3))
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150 %!error fftfilt (2, 1, ones (2))
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151