annotate scripts/signal/fftconv.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 5d3a684236b0
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rev   line source
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72c96de7a403 maint: update copyright notices for 2012
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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} {} fftconv (@var{x}, @var{y})
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21 ## @deftypefnx {Function File} {} fftconv (@var{x}, @var{y}, @var{n})
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22 ## Convolve two vectors using the FFT for computation.
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23 ##
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24 ## @code{c = fftconv (@var{x}, @var{y})} returns a vector of length equal to
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25 ## @code{length (@var{x}) + length (@var{y}) - 1}.
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26 ## If @var{x} and @var{y} are the coefficient vectors of two polynomials, the
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27 ## returned value is the coefficient vector of the product polynomial.
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28 ##
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29 ## The computation uses the FFT by calling the function @code{fftfilt}. If
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30 ## the optional argument @var{n} is specified, an N-point FFT is used.
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31 ## @seealso{deconv, conv, conv2}
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32 ## @end deftypefn
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33
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34 ## Author: KH <Kurt.Hornik@wu-wien.ac.at>
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35 ## Created: 3 September 1994
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36 ## Adapted-By: jwe
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37
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38 function c = fftconv (x, y, n)
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39
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40 if (nargin < 2 || nargin > 3)
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41 print_usage ();
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42 endif
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43
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44 if (! (isvector (x) && isvector (y)))
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45 error ("fftconv: both A and B must be vectors");
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46 endif
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47 la = length (x);
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48 lb = length (y);
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49 if ((la == 1) || (lb == 1))
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50 c = x * y;
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51 else
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52 lc = la + lb - 1;
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53 x(lc) = 0;
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54 y(lc) = 0;
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55 if (nargin == 2)
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56 c = fftfilt (x, y);
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57 else
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58 if (! isscalar (n))
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59 error ("fftconv: N must be a scalar");
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60 endif
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61 c = fftfilt (x, y, n);
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62 endif
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63 endif
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64
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65 endfunction
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68 %% FIXME: Borrow tests from conv.m. May need a tolerance on the assert comparison
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69 %!test
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70 %! x = ones(3,1);
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71 %! y = ones(1,3);
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72 %! b = 2;
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73 %! c = 3;
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74 %! assert (fftconv (x, x), [1; 2; 3; 2; 1], 5*eps);
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75 %! assert (fftconv (y, y), [1, 2, 3, 2, 1], 5*eps);
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76 %! assert (fftconv (x, y), [1, 2, 3, 2, 1], 5*eps);
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77 %! assert (fftconv (y, x), [1; 2; 3; 2; 1], 5*eps);
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78 %! assert (fftconv (c, x), [3; 3; 3], 5*eps);
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79 %! assert (fftconv (c, y), [3, 3, 3], 5*eps);
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80 %! assert (fftconv (x, c), [3; 3; 3], 5*eps);
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81 %! assert (fftconv (y, c), [3, 3, 3], 5*eps);
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82 %! assert (fftconv (b, c), 6, 5*eps);
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83
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84 %!test
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85 %! a = 1:10;
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86 %! b = 1:3;
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87 %! assert (size (conv (a,b)), [1, numel(a)+numel(b)-1])
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88 %! assert (size (conv (b,a)), [1, numel(a)+numel(b)-1])
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89
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90 %! a = (1:10).';
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91 %! b = 1:3;
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92 %! assert (size (conv (a,b)), [numel(a)+numel(b)-1, 1])
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93 %! assert (size (conv (b,a)), [numel(a)+numel(b)-1, 1])
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94
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95 %!test
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96 %! a = 1:10;
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97 %! b = (1:3).';
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98 %! assert (size (conv (a,b)), [1, numel(a)+numel(b)-1])
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99 %! assert (size (conv (b,a)), [1, numel(a)+numel(b)-1])
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100
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101 %% Test input validation
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102 %!error fftconv (1)
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103 %!error fftconv (1,2,3,4)
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104 %!error fftconv ([1, 2; 3, 4], 3)
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105 %!error fftconv (2, [])
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106 %!error fftconv ([1,1], [2,2] , [3, 4])
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107