(t) is known to have the same form. R(t) = u(t) T exp (- bt) a) Find the auto correlation of y(t) ? b) What is the average power in y(t) ?

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Using statistical power analysis

A random process x(t) is applied to a network with impulse response h(t) = u6
exp (- bt) where b>0 is a constant. The cross-correlation of x(t) with the outos
y(t) is known to have the same form.
Ryx(T) = u(t) T exp (- bt)
(a) Find the auto correlation of y(t) ?
(b) What is the average power in y(t) 7
Transcribed Image Text:A random process x(t) is applied to a network with impulse response h(t) = u6 exp (- bt) where b>0 is a constant. The cross-correlation of x(t) with the outos y(t) is known to have the same form. Ryx(T) = u(t) T exp (- bt) (a) Find the auto correlation of y(t) ? (b) What is the average power in y(t) 7
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