I'm interested in the case where aI have received a signal as a composition of three echoes of the transmitted signal x[n] $x[n]$ (each echo has its amplitude and time delay). I know that in order to compare the signals I use cross-correlation. My question is if I use rxx[m] = delta[m]$r_{xx}[m] = \delta[m]$, would that make it easier to calculate the parameters of echoes? And, if so, can you explain me why?