True or False if a WSS process is input to an LTI or LSI sys

True or False: if a WSS process is input to an LTI (or LSI) system, the output ACS can be computed if we know the input process mean and the system\'s impulse response h[n].

Solution

To find the autocorrelation sequence of the output , it is necessary to know the autocorrelation of the input sequence.

Ry(T) = Rx(T) * h(-T)*h(T)

Here Ry(T) = output auto correlation

Rx(T) = input auto correlation

h(t) denotes the impulse response of the system

* Denotes convolution operation

Hence knowledge of autocorrelation of the input is necessary to find output ACS.

Ans: False

With mean only given , only output mean cab be computed.