Analysis of Correlation Phase Algorithm for adaptive filters in digital QAM systems

This paper first describes Correlation Phase Algorithm (CPhiA) for adaptive filters to be used in digital QAM systems. We present stochastic models for two types of impulse noise intruding adaptive filters: one in observation noise and another at filter input. Performance analysis of the CPhiA in the presence of both types of impulse noise is fully developed to derive difference equations for calculating transient and steady-state convergence behavior. Through experiment with simulations and theoretical calculations of filter convergence for some examples, we demonstrate high robustness of the CPhiA in impulsive noise environments. Good agreement between simulated and theoretical convergence validates the analysis.