📄 stft4.m
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function [tfd, t, f] = stft4(x, fs, w)
% stft4 -- Compute samples of the type IV short-time Fourier transform.
%
% Usage
% [tfd, t, f] = stft4(x, fs, w,)
%
% Inputs
% x signal vector
% fs sampling frequency of x (optional, default is 1 sample/second)
% w window vector, must be the same length as x (optional, default
% is a gaussian window)
%
% Outputs
% tfd matrix containing the STFT of signal x
% t vector of sampling times (optional)
% f vector of frequency values (optional)
% Copyright (C) -- see DiscreteTFDs/Copyright
x = x(:);
N=length(x);
error(nargchk(1, 3, nargin));
if (nargin < 2)
fs = 1;
end
if (nargin < 3)
w = chirplets(N);
end
w = w(:);
w = fftshift(w);
M = length(w);
if (N ~= M)
error('Signal and window must have the same length!')
end
% Create a matrix filled with signal values.
tfd = zeros(N,N);
tfd(:,1) = x;
for n = 2:N,
tfd(:,n) = [x(n:N) ; x(1:n-1)];
end
% Window the data.
w = w*ones(1,N);
tfd = tfd.*w;
% Perform the column ffts to get the stft.
tfd = fft(tfd);
tfd = tfdshift(tfd)/sqrt(N);
t = 1/fs * (0:N-1);
f = -fs/2:fs/N:fs/2;
f = f(1:N);
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