Stability Condition of a Discrete-Time LTI System BIBO Stability Condition-a discrete-time Lti System is bibo stable if the output sequence ln remains bounded for any bounded input sequencexn A discrete-time LTI system is BiBO stable if and only if its impulse response sequence thn is absolutely summable, i.e S=∑hn]<∞ Copyright C 2001, S K MitraCopyright © 2001, S. K. Mitra 1 Stability Condition of a Discrete-Time LTI System • BIBO Stability Condition - A discrete-time LTI system is BIBO stable if the output sequence {y[n]} remains bounded for any bounded input sequence{x[n]} • A discrete-time LTI system is BIBO stable if and only if its impulse response sequence {h[n]} is absolutely summable, i.e. = n=− S h[n]