Problem 8 : In the concept
of correlation functions , it is often important in
practice to compute the correlation function
,
where h (t) is a fixed given signal, but where x (t)
may be any of a wide variety of signals. Let S be the
system which takes x (t) as the input and gives
as the output .
(a) Is S linear ? Is S time invariant ? Is S causal ?
Explain your answers .
(b) Do any of your answer to above part change if we
take as the output
instead of
? |