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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(a) F(b) 2F(c) 4F(d) 8FThe question was posed to me during an interview for a job.The above asked question is from Spectrum Analysis of Sampling Process topic in chapter Digital Control Systems of Control Systems

Answer»

Right choice is (C) 4F

The best explanation: Expansion in time domain in 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 =2FM =4F Hz.



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