On the convergence properties of multidelay frequency domain adaptive filter

Frequency domain adaptive filters have gained much attention. Although some work on performance analysis has been reported, there is still much to be done. This paper presents a convergence analysis of the multidelay frequency domain adaptive filter. We show, for the first time, the relationship between the convergence step-size and the convergence rate. The effect of step-size on adaptation accuracy is presented also. Extensive simulation results are provided to support the analysis. Surprisingly, all block processing algorithms run well even though the step-sizes utilized are much bigger than the convergence bounds currently available in the literature.