The following continuous-time input signals x_c(t) and corresponding discrete-time output signals x[n] are those of an ideal C/D as shown in Figure. Specify a choice for the sampling period T that is consistent with each pair of x_c(t) and x[n]. In addition, indicate whether your choice of T is unique. If not, specify a second possible choice of T consistent with the information given.

(a) x_c(t) = sin(10π t),     x[n] = sin(π n/4)

(b) x_c(t) = sin(10π t) / (10π t). x[n] = sin(π n/2) / (π n/2)

Transcribed Image Text:

C/D x.(1) x [n] = x,(nT)