How to retain a Complex Dirichlet?

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Wei-Min Chen 2019-3-12

评论： Wei-Min Chen 2019-3-12

Hi,

I'd like to construct a periodic sinc dictionary. And the periodic sinc function in MatLab is "Dirichlet function".

But it seems that the function in the link is only real part.

How can I retain a complex dirichlet function?

Thanks a lot !

Torsten 2019-3-12

So you want x to be complex-valued in

d = diric(x,n)

Wei-Min Chen 2019-3-12

Yes. This is my code, and I am checking if this make sense.

I multiply diric by a phase term exp(1i*2*pi*x).

-60~60 is field of view.

x = linspace(-1,1,1024);

N = 10;

dict = [];

for i=-60:1:60

yd = exp(1i*2*pi*x).*abs(diric((x-i/60)*pi,N));

dict = [dict;yd];

end

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