Convergence Analysis of Blind Equalizer in a Filter-Bank-Based Multicarrier Communication System

A recent development in the literature has proposed a cosine-modulated filter-bank-based multicarrier modulation (CMFB-MCM) system with blind equalization capability. However, convergence studies of the proposed blind equalizer have been carried out through computer simulations only. In this correspondence, we present a study of the blind equalizer by analyzing its associated cost function thoroughly. We show that the blind equalizer cost function is characterized by two global minima and two saddle points. We note that the presence of saddle points may result in occasional slow convergence of the adaptation algorithm and present a modified algorithm that avoids this problem