... the input-output cross-correlation function is I* (- "' rpZu(r) -k2, k ! -, u ~ d uc ,? ~ ~ y ( oexp ) = 2v = d u~ a ) = a,,' [- / 21 ~ kSm (- $)Hk(u,) uu1exp ! k=o : "3 Hk(ul)Hk(u3 dull -m using ... considering zero-mean variables Also, Equation (H-27) becomes Thus, for a gaussian input, Eq (H-66) is written x exp 2px1x2 + [- x12 2a2 (1 p2) xz2I - - The evaluation of this double integral can ... process are written - ' ST 2'T ST x2 = lim - 2T ~ ( tdt ~ ) I ~ - -T ~ yXx(r)= lim T-m x(t)x(t -T + T) dt (H-43) An example of a stationary ergodic random process is the ensemble of sinusoids of...