Abstract

The application of the Conjugate Gradient (CG) method for the identification of a new class of non-linear discrete time systems, called Generalized Bilinear System is investigated. An algorithm based on the CG method is developed for adaptive generalized bilinear filtering with output error method. This algorithm outperforms the LMS and RLS methods in terms of speed of convergence. In this algorithm, the optimization is done over blocks of input and output data rather than a single pair of data. However, only one iteration and coefficient update is done for every sample of data. Some examples are given to illustrate the efficiency of the algorithm.

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