Nonlinear discrete-Time System Output y[n] due to an input ax[n]+ Bx2n] Is given yn=fa xin +b xing {xn-1+Bx2[n-1}ax[n+1]+Bx2[n+1 =a2{x[m]-xn-1]×1n+1 +2(x2n]-x2[n-1]x2[n+1]} +cB{2x1[mx2[]-x1[n-1x2[n+1-x1[n+1x2[n-1} Copyright C 2001, S K MitraCopyright © 2001, S. K. Mitra 13 Nonlinear Discrete-Time System • Output y[n] due to an input is given by x [n] x [n]  1 +  2 2 1 2 y n x n x n [ ] { [ ] [ ]} = +   { [ 1] [ 1]}{ [ 1] [ 1]} −  x1 n − +  x2 n −  x1 n + +  x2 n + { [ ] [ 1] [ 1]} 1 1 2 1 2 = x n − x n − x n + { [ ] [ 1] [ 1]} 2 2 2 2 2 +  x n − x n − x n + {2 [ ] [ ] [ 1] [ 1] [ 1] [ 1]} + x1 n x2 n − x1 n − x2 n + − x1 n + x2 n −