Sufficient stability bounds for slowly varying discrete-time recursive linear filters

This paper derives su cient time-varying bounds on the maximum variation of the coe cients of an exponentially stable, linear, time-varying and recursive lter. The stability bound is less conservative than all previously derived bounds for time-varying IIR systems. The bound is then applied to control the step size of output error adaptive IIR lters to achieve exponentially stable operation. Experimental results that demonstrate the good stability characteristics of the resulting algorithms are included in this paper.