📄 slidingdft.m
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% SLIDINGDFT computes the sliding FFT coefficients.
%
% SDFT=SlidingDFT(Y,N,L)
%
% Y:input in column vector
% N:FFT length
% L:Sliding window length
% 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: Ming Ding
% Version: @(#)SlidingDFT.m 1.0 01/15/02
%
% The authors are with the Department of Electrical and Computer
% Engineering, The University of Texas at Austin, Austin, TX.
% They can be reached at ming@ece.utexas.edu.
% Ming Ding is also with the Embedded Signal Processing
% Laboratory in the Dept. of ECE., http://anchovy.ece.utexas.edu.
function SDFT=SlidingDFT(Y,N,L)
%Y=randn(544,1);
%N=512;
%L=32;
%CP=32;
CP=length(Y)-N;
alpha=exp(-sqrt(-1)*2*pi/N);
phase=alpha.^([0:N-1]');
DFTM=dftmatrix(N);
%scale constant
scale=sqrt(N);
SDFT=zeros(N,L);
SDFT(:,1)=DFTM*Y(CP+1:N+CP);
%SDFT(:,1)=SDFT(:,1)/scale;
OneV=ones(N,1);
for i=2:L
offset=Y(CP-i+2)-Y(N+CP-i+2);
SDFT(:,i)=SDFT(:,i-1).*phase+OneV*offset;
%SDFT is based on the previous one
end
SDFT=SDFT/scale;
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