Question: An analog pulse x(t) = u(t) u(t 1) is sampled using a sampling period T s = 0.1. (a) Obtain the discrete-time signal x(nT s

An analog pulse x(t) = u(t) ˆ’ u(t ˆ’ 1) is sampled using a sampling period Ts= 0.1.

(a) Obtain the discrete-time signal x(nTs) = x(t)|t=nTs and plot it as a function of nTs

(b) If the sampled signal is represented as an analog signal as

N-1 x,(t) = > x(nT,)8(t – nTs) n=0

determine the value of N in the above equation. Compute the Laplace transform of the sampled signal. i.e., Xs(s) = L[xs(t]

(c) Determine the Z-transform of x(nTs) or X(z). Indicate how to transform Xs(s) into X(z).

N-1 x,(t) = > x(nT,)8(t – nTs) n=0

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