You are given a continuous-time signal x(t), and you are told that this signal c

Question

You are given a continuous-time signal x(t), and you are told that this signal can be accurately sampled (with no information loss) by using impulse train sampling with sampling frequency ws = 5000pi. For what values of w is X(jw) guaranteed to be zero?

2. You are given a continuous-time signal (t), and you are told that this signal can be accurately sampled 5000T. For (with no information loss by using impulse train sampling with sampling frequency , what values of w is X(ju) guaranteed to be zero?

Explanation / Answer

Its given that the information can be reconstructed from its samples at a rate of 5000pi/2pi= 2500 samples per second.

The maximum frequency content in the information is fs/2=1250Hz.

Thererefore if you draw a spectrum of x(t), X(jw) you will have non zero values until w = 1250*2pi=2500pi rad/sec.

Therefore X(jw) will be zero in the interval, |w|>2500pi.

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