📄 uec.m
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%UEC Minimum mean-squared error time domain equalizer design % using the unit-energy constraint.% [B, W, D, MSE, Dv] = UEC(X, Y, N, Nb, Nw, Dmin, Dmax) returns% the optimal target impulse response B, the time domain equalizer% W, and the delay D. Optimal is in the sense of minimum mean-squared% error under the unit-energy constraint. MSE is the resulting % mean-squared error and Dv is a vector containing the mean-squared % error for delay values between Dmin and Dmax.%% X is the transmitted data vector. Y is the received data vector% (without channel noise). N is the channel noise vector. Nb is the % number of taps in the target impulse response and Nw the number of % taps in the time domain equalizer. Dmin and Dmax define the search % interval for the optimal delay.% % See also UTC, EIGEN, CORRELATIONS%% The algorithm is from:% N. Al-Dhahir and J. M. Cioffi, "Efficiently Computed Reduced-Parameter % Input-Aided MMSE Equalizers for ML Detection: A Unified Approach", % IEEE Trans. on Info. Theory, vol. 42, pp. 903-915, May 1996.% Copyright (c) 1999-2002 The University of Texas% All Rights Reserved.% % This program 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 2 of the License, or% (at your option) any later version.% % This program 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.% % The GNU Public License is available in the file LICENSE, or you% can write to the Free Software Foundation, Inc., 59 Temple Place -% Suite 330, Boston, MA 02111-1307, USA, or you can find it on the% World Wide Web at http://www.fsf.org.% % Programmers: Guner Arslan% Version: @(#)uec.m 1.5 07/26/00% % The authors are with the Department of Electrical and Computer% Engineering, The University of Texas at Austin, Austin, TX.% They can be reached at arslan@ece.utexas.edu.% Guner Arslan is also with the Embedded Signal Processing% Laboratory in the Dept. of ECE., http://anchovy.ece.utexas.edu.function [bopt, wopt, dopt, MSE, delayVec]=uec(x,y,Nb,Nw,minDelay,maxDelay,bf)% calculate the input-output auto and cross correlations[Rxx,Ryy,rxy,L] = correlations(x,y,maxDelay,Nb,Nw);% solve the eigenvalue problem[bopt, wopt, dopt, MSE, Rxyopt, delayVec] = ... eigen(Rxx,Ryy,rxy,minDelay,maxDelay,Nb,Nw,L,0,bf);
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