[SOLVED] What should be sampling frequency of such a signal?

[Ryuuku]

My question is :
What should be sampling frequency of such signal : s(t) = \[\frac{ \sin( t \cdot 20000 \cdot \pi) }{ t \cdot \pi }\]?

I know about Nyquist–Shannon sampling theorem, but what is the frequency of my signal ( this isn't just sinc(20000 \[\cdot \pi \cdot\] t) )

Pleas give me some clues

 

[barry]

Re: Problem with sampling

Isn't your frequency 10000 hz?

 

[Ryuuku]

Re: Problem with sampling

If it was just s(t)=sin(20000 pi t), I would agree with you. But there is ( pi t ) in denominator, which I think make some change.
I'm not 100% sure. So, please tell me your point of view - why do you think it is simply 10000 ?

 

[barry]

Re: Problem with sampling

Plot the signal. It's just a decaying sinusoid. The decay adds a frequency component, but it will be lower than 10000Hz

 

[Ryuuku]

Re: Problem with sampling

Oh, sorry. It was my fault. You was right. I see it now. Thanks for help.