function x = SoftTh(y,thld)
% x = SoftTh(y,thld);
% SOFTTH soft thresholds the input signal y with the threshold value
% y : 1D or 2D signal to be thresholded
% thld : Threshold value
% x : Soft thresholded output (x = sign(y)(|y|-thld)_+)
% HERE'S AN EASY WAY TO RUN THE EXAMPLES:
% Cut-and-paste the example you want to run to a new file
% called ex.m, for example. Delete out the % at the beginning
% of each line in ex.m (Can use search-and-replace in your editor
% to replace it with a space). Type 'ex' in matlab and hit return.
% y = makesig('Doppler',8);
% thld = 0.2;
% x = SoftTh(y,thld)
% x = 0 0 0 -0.0703 0 0.2001 0.0483 0
% See also: HardTh
% "De-noising via Soft-Thresholding" Tech. Rept. Statistics,
% Stanford, 1992. D.L. Donoho.
%File Name: SoftTh.m
%Last Modification Date: 8/15/95 17:49:48
%Current Version: SoftTh.m 2.4
%File Creation Date: Mon Mar 7 10:38:45 1994
%Author: Haitao Guo <email@example.com>
%Copyright (c) 2000 RICE UNIVERSITY. All rights reserved.
%Created by Haitao Guo, 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
x = abs(y);
x = sign(y).*(x >= thld).*(x - thld);