r(t)=x(t) + n(t) , n is noise and x is desired signal
if x is uncorrelated then the Expectation(E)=[r(t) r(t+Δt)] =0
but if x is correlated then what should be the Expectation(E)=[r(t) r(t+Δt)] ?
also what is the difference between energy detector of correlated and uncorrelated signal when we have finite number of entries for example ∑(upper k-1) and(lower i=0) |r(t)|^2 and k<<∞ (for example k=10)?