Bessel function autocorrelation ???

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satellite

Joined: 29 Mar 2004
Posts: 321
Helped: 7

01 Jun 2004 15:34 Bessel function autocorrelation ???

Who can help me in indicating the analytical form
of the Bessel function (of first type) autocorrelation.

Thanks

dora

Joined: 11 Jun 2003
Posts: 158
Helped: 2

01 Jun 2004 17:50 Re: Bessel function autocorrelation ???

Hi satellite

I would be surprised if there is closed form for the bessel function autocorrelation.

If the closed form for autocorrelation exist it means that taking fourier transform one can get power spectrum and taking square root we got the spectrum then inverse fourier transform and finaly we obtain the close form for the bessel function itself. But we know that there is no closed form for the Bessel function.

Probably you can do it numericaly?

regards
dora

dora

Joined: 11 Jun 2003
Posts: 158
Helped: 2

01 Jun 2004 17:55 Re: Bessel function autocorrelation ???

satellite,

Reading your mail again I see that you probably will be happy with the infinite sums also.

It is 100% sure that the bessel function autocorrelation can be represent as infinite sum.

If I find some time i will check in the handbooks ....

dora

satellite

Joined: 29 Mar 2004
Posts: 321
Helped: 7

01 Jun 2004 18:21 Re: Bessel function autocorrelation ???

Dear dora,

any help will be welcome.

Thanks again,

Satellite

saro

Joined: 30 Apr 2004
Posts: 16

13 Jul 2004 20:46 Bessel function autocorrelation ???

dear
you can check the book Digital Communicatin by john jee proakis in 5th cheptr

saro

dora

Joined: 11 Jun 2003
Posts: 158
Helped: 2

14 Jul 2004 9:42 Re: Bessel function autocorrelation ???

Hi satellite

Did you notice that in the forum e-book 'Watson G.N. Theory of Bessel functions (CUP, 1922)(T)(814s)'
was uploaded.

It is very complete one but I have not checked if it contains the answer of your question.

Best Regards
dora