Question: For the LTI system in Figure,? H(e j? ) = e ?j?/2 . ? ? ? ? ? ? ?| ? | ????(half-sample delay). (a)

For the LTI system in Figure,?

H(e^j?) = e^?j?/2. ? ? ? ? ? ? ?| ? | ????(half-sample delay).

(a) Determine a choice for T and h_c(t) in the system of Figure so that the system in Figure with H(e^j?) as specified is equivalent to the system in Figure.

(b) Determine and sketch y[n] when the input sequence is

x[n] = cos (5?/2 n ? ?/4),

as sketch in Figure.

h(n). H(e ) h(1) H(jn) CID D/C *[n]| 'y[n] x (1) y.()

h(n). H(e ) h(1) H(jn) CID D/C *[n]| 'y[n] x (1) y.() Part A H(e") x[n] y[n] Part B x[n] v2 2 2 3 4 5 v2

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