Linear Discrete-Time Systems Accumulator-y1[n]=∑x[(],y2[n=∑x2[ For an input xn]=ax1[n]+Bx2[列] the output is ym]=∑(ax[(]+Bx2[]) =a∑x[+B∑x[(]=ay1[]+By2[ l=- Hence the above system is linear Copyright C 2001, S K MitraCopyright © 2001, S. K. Mitra 11 Linear Discrete-Time Systems • Accumulator - • For an input the output is • Hence, the above system is linear =  =  =− =− n n y n x y n x   [ ] [], [ ] [] 1 1 2 2 [ ] [ ] [ ] x n = x1 n +  x2 n = ( + ) =− n y n x x  [ ] [] []  1  2 [ ] [ ] [ ] [ ] x1 x2 y1 n y2 n n n =  +   = +  =− =−  