For the LTI system in Figure,? H(e j? ) = e ?j?/2 . ? ? ? ?

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For the LTI system in Figure,?

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

(a) Determine a choice for T and hc(t) in the system of Figure so that the system in Figure with H(ej?) 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.

image

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Discrete Time Signal Processing

ISBN: 978-0137549207

2nd Edition

Authors: Alan V. Oppenheim, Rolan W. Schafer

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