Stability Condition in Terms of the pole locations In this case, the impulse response coefficient hn Increases rapi idly to a constant value as n increases Hence the absolute summability condition of is violated Thus, H(z)is an unstable transfer function Copyright C 2001, S K. MitraCopyright © 2001, S. K. Mitra 9 Stability Condition in Terms of the Pole Locations • In this case, the impulse response coefficient increases rapidly to a constant value as n increases • Hence, the absolute summability condition of is violated • Thus, is an unstable transfer function h[n] ^ H(z) ^