Suppose a continuous signal has components between 100HZ and 200HZ (in other places zero). Let this Fourier Transform be given by X(N) 2 (N – 100) in this interval. (a) What should the sampling period be in order to sample this signal without loss. (b) Suppose this signal is the impulse response of a system. Implement this system using a discrete-time system. Show all the details.

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Suppose a continuous signal has components between 100Hz and 200HZ (in other places
zero). Let this Fourier Transform be given by X(n) = 2 (N – 100) in this interval.
(a) What should the sampling period be in order to sample this signal without loss.
(b) Suppose this signal is the impulse response of a system. Implement this system using a
discrete-time system. Show all the details.
Transcribed Image Text:Suppose a continuous signal has components between 100Hz and 200HZ (in other places zero). Let this Fourier Transform be given by X(n) = 2 (N – 100) in this interval. (a) What should the sampling period be in order to sample this signal without loss. (b) Suppose this signal is the impulse response of a system. Implement this system using a discrete-time system. Show all the details.
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