Stability Condition in Terms of the pole locations A causal Lti digital filter is BiBo stable if and only if its impulse response h[n]is absolutely summable. i.e S=∑hm]< 1=-00 We now develop a stability condition in terms of the pole locations of the transfer function H(z) Copyright C 2001, S K. MitraCopyright © 2001, S. K. Mitra 1 Stability Condition in Terms of the Pole Locations • A causal LTI digital filter is BIBO stable if and only if its impulse response h[n] is absolutely summable, i.e., • We now develop a stability condition in terms of the pole locations of the transfer function H(z) =     n=− S h[n]