For the system shown in the figure below, the inputX(t)is a stationary random process withan auto correlation functionRX(τ)=4sinc2(2τ)If the low−pass filter has a cut−off frequency of2Hz and a passbandgain of unity, then the time averagepower of the output process Y(t)will be....W.1.75

For the system shown in the figure below, the inputX(t)is a stationary

1.	For the system shown in the figure below, the inputX(t)is a stationary random process withan auto correlation functionRX(τ)=4sinc2(2τ)If the low−pass filter has a cut−off frequency of2Hz and a passbandgain of unity, then the time averagepower of the output process Y(t)will be....W.1.75
Answer» $F o r t h e s y s t e m s h o w n i n t h e f i g u r e b e l o w, t h e i n p u t X (t) i s a s t a t i o n a r y r a n d o m p r o c e s s w i t h a n a u t o c o r r e l a t i o n f u n c t i o n R_{X} (τ) = 4 s i n c^{2} (2 τ) I f t h e l o w - p a s s f i l t e r h a s a c u t - o f f f r e q u e n c y o f 2 H z a n d a p a s s b a n d g a i n o f u n i t y, t h e n t h e t i m e a v e r a g e p o w e r o f t h e o u t p u t p r o c e s s Y (t) w i l l b e . . . . W .$ 1.75

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For the system shown in the figure below, the inputX(t)is a stationary random process withan auto correlation functionRX(τ)=4sinc2(2τ)If the low−pass filter has a cut−off frequency of2Hz and a passbandgain of unity, then the time averagepower of the output process Y(t)will be....W.1.75

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