A wide sense stationary random process X(t) passes through an LTI system as shown in the figure below. If the auto- correlation function of X(t) is Rx(T), then the auto-correlation function of the output is equal to: Y(t) X(t) Delay = TO

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A wide sense stationary random process X(t) passes through an LTI system as shown in the figure below. If the auto-
correlation function of X(t) is Rx(T), then the auto-correlation function of the output is equal to:
X(t)
Y(t)
Delay = TO
Select one:
O a. 2R,(T) + R,(T – To)
O b. 2R (7) + 2R,(T– To)'
O c. 2R,(T) – 2R (T- To)+ R-(T+ To)
d. 2R,(7) - R,(T- To)- R,(T+ To)
O e. 2R, (T) - 2R,(T – To)
819 PM
) ENG
7/2/2021
Transcribed Image Text:A wide sense stationary random process X(t) passes through an LTI system as shown in the figure below. If the auto- correlation function of X(t) is Rx(T), then the auto-correlation function of the output is equal to: X(t) Y(t) Delay = TO Select one: O a. 2R,(T) + R,(T – To) O b. 2R (7) + 2R,(T– To)' O c. 2R,(T) – 2R (T- To)+ R-(T+ To) d. 2R,(7) - R,(T- To)- R,(T+ To) O e. 2R, (T) - 2R,(T – To) 819 PM ) ENG 7/2/2021
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