function [y,L] = midwt(x,h,L);
% [x,L] = midwt(y,h,L);
% Function computes the inverse discrete wavelet transform x for a 1D or
% 2D input signal y using the scaling filter h.
% y : finite length 1D or 2D input signal (implicitly periodized)
% (see function mdwt to find the structure of y)
% 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 inverse DWT is returned for maximal possible
% x : periodic reconstructed signal
% L : number of decomposition levels
% 1D Example:
% xin = makesig('LinChirp',8);
% h = daubcqf(4,'min');
% L = 1;
% [y,L] = mdwt(xin,h,L);
% [x,L] = midwt(y,h,L)
% 1D Example's output:
% x = 0.0491 0.1951 0.4276 0.7071 0.9415 0.9808 0.6716 0.0000
% L = 1
% See also: mdwt, mrdwt, mirdwt
%File Name: midwt.m
%Last Modification Date: 08/07/95 15:13:52
%Current Version: midwt.m 2.4
%File Creation Date: Wed Oct 19 10:51:58 1994
%Author: Markus Lang <email@example.com>
%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 firstname.lastname@example.org or (713) 348-6173
%Mon Aug 7 11:52:33 CDT 1995
%Rebecca Hindman <email@example.com>
%Added L to function line so that it can be displayed as an output
%Thu Mar 2 13:07:11 CDT 2000
%Revamped the help file