Mercurial > hg > smallbox
diff util/Rice Wavelet Toolbox/mdwt.mhelp @ 78:f69ae88b8be5
added Rice Wavelet Toolbox with my modification, so it can be compiled on newer systems.
author | Ivan Damnjanovic lnx <ivan.damnjanovic@eecs.qmul.ac.uk> |
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date | Fri, 25 Mar 2011 15:27:33 +0000 |
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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/util/Rice Wavelet Toolbox/mdwt.mhelp Fri Mar 25 15:27:33 2011 +0000 @@ -0,0 +1,132 @@ +function [y,L] = mdwt(x,h,L); +% [y,L] = mdwt(x,h,L); +% +% Function computes the discrete wavelet transform y for a 1D or 2D input +% signal x using the scaling filter h. +% +% Input: +% x : finite length 1D or 2D signal (implicitly periodized) +% h : scaling filter +% L : number of levels. In the case of a 1D signal, length(x) must be +% divisible by 2^L; in the case of a 2D signal, the row and the +% column dimension must be divisible by 2^L. If no argument is +% specified, a full DWT is returned for maximal possible L. +% +% Output: +% y : the wavelet transform of the signal +% (see example to understand the coefficients) +% L : number of decomposition levels +% +% 1D Example: +% x = makesig('LinChirp',8); +% h = daubcqf(4,'min'); +% L = 2; +% [y,L] = mdwt(x,h,L) +% +% 1D Example's output and explanation: +% +% y = [1.1097 0.8767 0.8204 -0.5201 -0.0339 0.1001 0.2201 -0.1401] +% L = 2 +% +% The coefficients in output y are arranged as follows +% +% y(1) and y(2) : Scaling coefficients (lowest frequency) +% y(3) and y(4) : Band pass wavelet coefficients +% y(5) to y(8) : Finest scale wavelet coefficients (highest frequency) +% +% 2D Example: +% +% load test_image +% h = daubcqf(4,'min'); +% L = 1; +% [y,L] = mdwt(test_image,h,L); +% +% 2D Example's output and explanation: +% +% The coefficients in y are arranged as follows. +% +% .------------------. +% | | | +% | 4 | 2 | +% | | | +% | L,L | H,L | +% | | | +% -------------------- +% | | | +% | 3 | 1 | +% | | | +% | L,H | H,H | +% | | | +% `------------------' +% +% where +% 1 : High pass vertically and high pass horizontally +% 2 : Low pass vertically and high pass horizontally +% 3 : High pass vertically and low pass horizontally +% 4 : Low pass vertically and Low pass horizontally +% (scaling coefficients) +% +% +% +% +% See also: midwt, mrdwt, mirdwt +% + +%File Name: mdwt.m +%Last Modification Date: 08/07/95 15:13:25 +%Current Version: mdwt.m 2.4 +%File Creation Date: Wed Oct 19 10:51:58 1994 +%Author: Markus Lang <lang@jazz.rice.edu> +% +%Copyright (c) 2000 RICE UNIVERSITY. All rights reserved. +%Created by Markus Lang, Department of ECE, Rice University. +% +%This software is distributed and licensed to you on a non-exclusive +%basis, free-of-charge. Redistribution and use in source and binary forms, +%with or without modification, are permitted provided that the following +%conditions are met: +% +%1. Redistribution of source code must retain the above copyright notice, +% this list of conditions and the following disclaimer. +%2. Redistribution in binary form must reproduce the above copyright notice, +% this list of conditions and the following disclaimer in the +% documentation and/or other materials provided with the distribution. +%3. All advertising materials mentioning features or use of this software +% must display the following acknowledgment: This product includes +% software developed by Rice University, Houston, Texas and its contributors. +%4. Neither the name of the University nor the names of its contributors +% may be used to endorse or promote products derived from this software +% without specific prior written permission. +% +%THIS SOFTWARE IS PROVIDED BY WILLIAM MARSH RICE UNIVERSITY, HOUSTON, TEXAS, +%AND CONTRIBUTORS AS IS AND ANY EXPRESS OR IMPLIED WARRANTIES, INCLUDING, +%BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF MERCHANTABILITY AND FITNESS +%FOR A PARTICULAR PURPOSE ARE DISCLAIMED. IN NO EVENT SHALL RICE UNIVERSITY +%OR CONTRIBUTORS BE LIABLE FOR ANY DIRECT, INDIRECT, INCIDENTAL, SPECIAL, +%EXEMPLARY, OR CONSEQUENTIAL DAMAGES (INCLUDING, BUT NOT LIMITED TO, +%PROCUREMENT OF SUBSTITUTE GOODS OR SERVICES; LOSS OF USE, DATA, OR PROFITS; +%OR BUSINESS INTERRUPTIONS) HOWEVER CAUSED AND ON ANY THEORY OF LIABILITY, +%WHETHER IN CONTRACT, STRICT LIABILITY, OR TORT (INCLUDING NEGLIGENCE OR +%OTHERWISE), PRODUCT LIABILITY, OR OTHERWISE ARISING IN ANY WAY OUT OF THE +%USE OF THIS SOFTWARE, EVEN IF ADVISED OF THE POSSIBILITY OF SUCH DAMAGE. +% +%For information on commercial licenses, contact Rice University's Office of +%Technology Transfer at techtran@rice.edu or (713) 348-6173 +% +%Change History: +% +%Modification #1 +%Mon Aug 7 11:42:11 CDT 1995 +%Rebecca Hindman <hindman@ece.rice.edu> +%Added L to function line so that it can be displayed as an output +% +%Change History: +% +%Modification #1 +%Thu Mar 2 13:07:11 CDT 2000 +%Ramesh Neelamani<neelsh@ece.rice.edu> +%Revamped the help file +% + + +