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How can I find the nyquist rate and Nyquist interval?

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rabia ceki
rabia ceki 2012-12-13
Hi I need urgent help The question is finding the Nyquist rate and Nyquist interval of the belove signal on matlab.?
f(t)=sinc(100*pi*t)+sincsquare(60*pi*t)
please help I couldnt do anything

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Wayne King
Wayne King 2012-12-13
It completely depends on your t vector
Do the following
dt = mean(diff(t));
The Nyquist interval is
[-1/(2*dt), 1/(2*dt)]
If by Nyquist rate, you mean what is the necessary sampling rate, that depends on the bandwidth of the output of sincsquare()
That is not a MathWorks' function, so we can't say without the code what the bandwidth is
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Wayne King
Wayne King 2012-12-13
I'm asking about sincsquare()? We need to know what the Fourier transform of that is. For the sinc() you show, I think you need to sample at a minimum of 200 samples/sec. It looks to me that the rectangle which is the Fourier transform of the sinc here has support on the interval [-100,100]

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