On the composite squared error algorithm for adaptive IIR filters

The composite squared error (CSE) adaptation algorithm for IIR filters is derived as a combination of the equation error (EE) and the output error (OE) algorithms. The convergence process of the CSE adaptation algorithm is investigated. A steady-state analysis is given relating the CSE stationary points to the EE and OE stationary points. Transient analyses of the CSE algorithm are obtained with the ordinary-difference-equation approach and the local linearization method.