An estimation-based approach to the design of adaptive IIR filters

We present an estimation-based approach to the design of adaptive IIR filters. We also use this approach to design adaptive filters when a feedback signal from the output of the adaptive filter contaminates the reference signal. We use an H_∞ criterion to cast the problem as a nonlinear H_∞ filtering problem, and present an approximate linear H_∞ filtering solution. This linear filtering solution is then used to adapt the adaptive IIR Filter. The presentation of the proposed adaptive algorithm is done in the context of an adaptive active noise cancellation problem. Simulations are used to examine the performance of the proposed estimation-based adaptive algorithm