Stockwell transform in matlab

https://ww2.mathworks.cn/matlabcentral/fileexchange/45848-stockwell-transform--s-transform-

 Compute S-Transform without for loops

function ST=stran(h)

% Compute S-Transform without for loops

%%% Coded by Kalyan S. Dash %%%
%%% IIT Bhubaneswar, India %%%

[~,N]=size(h); % h is a 1xN one-dimensional series

nhaf=fix(N/2);

odvn=1;

if nhaf*2==N;
    odvn=0;
end

f=[0:nhaf -nhaf+1-odvn:-1]/N;

Hft=fft(h);

%Compute all frequency domain Gaussians as one matrix

invfk=[1./f(2:nhaf+1)]';

W=2*pi*repmat(f,nhaf,1).*repmat(invfk,1,N);

G=exp((-W.^2)/2); %Gaussian in freq domain

% End of frequency domain Gaussian computation

% Compute Toeplitz matrix with the shifted fft(h)

HW=toeplitz(Hft(1:nhaf+1)',Hft);

% Exclude the first row, corresponding to zero frequency

HW=[HW(2:nhaf+1,:)];

% Compute Stockwell Transform

ST=ifft(HW.*G,[],2); %Compute voice

%Add the zero freq row

st0=mean(h)*ones(1,N);

ST=[st0;ST];

end

　　相比ST效率会更高一点

但是，处理的矩阵长度大概都在10000左右，再多一点就报错，没有spectrogram高效。

spectrogram可以处理更长时间的数据。