An analog pulse x(t) = u(t) u(t 1) is sampled using a sampling period T s =

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

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

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

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

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

Transcribed Image Text:

N-1 x,(t) = > x(nT,)8(t – nTs) n=0