view scripts/signal/spectral_xdf.m @ 16994:333243133364

Use matrix concatenation for strings, rather than cstrcat(), for clarity and performance. matrix concatenation is ~80% faster than cstrcat(). * doc/interpreter/strings.txi: Document preference for matrix concatenation as opposed to alternatives. * doc/interpreter/geometryimages.m, doc/interpreter/interpimages.m, doc/interpreter/plotimages.m, doc/interpreter/sparseimages.m, doc/interpreter/splineimages.m, scripts/general/genvarname.m, scripts/general/int2str.m, scripts/general/num2str.m, scripts/help/__makeinfo__.m, scripts/help/help.m, scripts/miscellaneous/copyfile.m, scripts/miscellaneous/dir.m, scripts/miscellaneous/edit.m, scripts/miscellaneous/fact.m, scripts/miscellaneous/fullfile.m, scripts/miscellaneous/mkoctfile.m, scripts/miscellaneous/movefile.m, scripts/miscellaneous/perl.m, scripts/miscellaneous/python.m, scripts/miscellaneous/run.m, scripts/miscellaneous/tempdir.m, scripts/miscellaneous/unpack.m, scripts/pkg/private/configure_make.m, scripts/pkg/private/create_pkgadddel.m, scripts/pkg/private/extract_pkg.m, scripts/pkg/private/get_description.m, scripts/pkg/private/get_forge_pkg.m, scripts/pkg/private/getarch.m, scripts/pkg/private/getarchprefix.m, scripts/pkg/private/install.m, scripts/pkg/private/installed_packages.m, scripts/pkg/private/load_packages_and_dependencies.m, scripts/pkg/private/rebuild.m, scripts/pkg/private/repackage.m, scripts/pkg/private/shell.m, scripts/pkg/private/uninstall.m, scripts/plot/private/__go_draw_axes__.m, scripts/signal/spectral_adf.m, scripts/signal/spectral_xdf.m, scripts/statistics/tests/z_test.m, scripts/statistics/tests/z_test_2.m, scripts/strings/mat2str.m, scripts/strings/strtok.m, scripts/testfun/__run_test_suite__.m, scripts/testfun/assert.m, scripts/testfun/demo.m, scripts/testfun/speed.m, scripts/testfun/test.m, test/eval-catch.tst, test/io.tst, test/try.tst: Replace cstrcat() with matrix concatenation where possible.
author Rik <rik@octave.org>
date Wed, 17 Jul 2013 14:02:32 -0700
parents 5d3a684236b0
children 2736bc7bf8d9
line wrap: on
line source

## Copyright (C) 1995-2012 Friedrich Leisch
##
## This file is part of Octave.
##
## Octave 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.
##
## Octave 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 Octave; see the file COPYING.  If not, see
## <http://www.gnu.org/licenses/>.

## -*- texinfo -*-
## @deftypefn {Function File} {} spectral_xdf (@var{x}, @var{win}, @var{b})
## Return the spectral density estimator given a data vector @var{x},
## window name @var{win}, and bandwidth, @var{b}.
##
## The window name, e.g., @code{"triangle"} or @code{"rectangle"} is
## used to search for a function called @code{@var{win}_sw}.
##
## If @var{win} is omitted, the triangle window is used.  If @var{b} is
## omitted, @code{1 / sqrt (length (@var{x}))} is used.
## @end deftypefn

## Author: FL <Friedrich.Leisch@ci.tuwien.ac.at>
## Description: Spectral density estimation

function retval = spectral_xdf (x, win, b)

  xr = length (x);

  if (columns (x) > 1)
    x = x';
  endif

  if (nargin < 3)
    b = 1 / ceil (sqrt (xr));
  endif

  if (nargin == 1)
    w = triangle_sw (xr, b);
  else
    win = str2func ([win "_sw")];
    w = feval (win, xr, b);
  endif

  x = x - sum (x) / xr;

  retval = (abs (fft (x)) / xr).^2;
  retval = real (ifft (fft (retval) .* fft (w)));

  retval = [(zeros (xr, 1)), retval];
  retval(:, 1) = (0 : xr-1)' / xr;

endfunction