Let x(t) be a continuous time, real valued signal band limited to F Hz. The Nyquist sampling rate in Hz, for y(t) = x(0.5t) + x(t) – x(2t) is ______________

Question

Let x(t) be a continuous time, real valued signal band limited to F Hz. The Nyquist sampling rate in Hz, for y(t) = x(0.5t) + x(t) – x(2t) is ______________

1 Answer

leeyal · Answer 1 · 2022-10-08T02:32:47+0000

The correct option is (c) 4F

Explanation: Expansion in time domain is compression in frequency domain and vice versa. So, the maximum frequency component in given signal is 2F Hz. And according to sampling theorem,

Nyquist rate = 2 fm

= 2 X 2 F

= 4F Hz.

Let x(t) be a continuous time, real valued signal band limited to F Hz. The Nyquist sampling rate in Hz, for y(t) = x(0.5t) + x(t) – x(2t) is ______________

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