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I have a homework question that asks for the Nyquist rate AND the Nyquist frequency of a signal. I thought the two were synonymous? I tried to read their definitions but it just looks like the same thing worded differently.

Merna George
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The Nyquist rate is the minimal frequency at which you can sample a signal without any undersampling. It's double the highest frequency in your continous-time signal.

Whereas the Nyquist frequency is half of the sampling rate. You'll notice that your amplitude graph from 0 Fs to 0.5 Fs is the mirror image of 0.5 Fs to 1 Fs. The Nyquist frequency represents that folding point.

Mimakari
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  • To relate the two: The highest frequency of the continuous-time signal *is* the Nyquist Frequency. So half of the Nyquist Rate is the Nyquist Frequency. – Minh Tran Oct 05 '20 at 18:18