Stability Condition in Terms of the pole locations In addition for a stable and causal digital filter for which h[n]is a right-sided sequence, the roc will include the unit circle and entire z-plane including the point 2=0 An fir digital filter with bounded impulse response is always stable Copyright C 2001, S K. MitraCopyright © 2001, S. K. Mitra 3 Stability Condition in Terms of the Pole Locations • In addition, for a stable and causal digital filter for which h[n] is a right-sided sequence, the ROC will include the unit circle and entire z-plane including the point • An FIR digital filter with bounded impulse response is always stable z = 