Consider the system in figure The input signal x c (t) has the Fourier transform shown in figure with 0 2 (1000) radians second The discrete time system is an ideal lowpass filter with frequency response (a) What is the minimum sampling rate F s 1 T such that no aliasing occurs in sampling the input (b) If c 2, what is the minimum sampling rate such that y c (t) x c (t) S1 lw) w 0 otherwise H(eie)

Question: Consider the system in figure. The input signal x c (t) has the Fourier transform shown in figure with ? 0 = 2? (1000) radians/second.

Consider the system in figure. The input signal x_c(t) has the Fourier transform shown in figure with ?₀ = 2? (1000) radians/second. The discrete-time system is an ideal lowpass filter with frequency response

S1. lw) < w. 0. otherwise. H(eie) =

(a) What is the minimum sampling rate F_s = 1/T such that no aliasing occurs in sampling the input?

(b) If ?_c = ? / 2, what is the minimum sampling rate such that y_c(t) = x_c(t)?

S1. lw) < w. 0. otherwise. H(eie) =

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