Stability Condition of a Discrete-Time LTI System Thus,S< oo implies v[n]≤B,<∞ indicating that y[n] is also bounded o prove the converse, assume that yn] is bounded,ie,ynl≤B Consider the input given by Sgn(H[-n]),ifh-n]≠0 K f hl-n=o Copyright C 2001, S K MitraCopyright © 2001, S. K. Mitra 3 Stability Condition of a Discrete-Time LTI System • Thus, S < implies indicating that y[n] is also bounded • To prove the converse, assume that y[n] is bounded, i.e., • Consider the input given by  y[n]  By   n By y[ ]     − = − −  = 0 0 , if [ ] sgn( [ ]), if [ ] [ ] K h n h n h n x n