Analysis and efficient implementation of partitioned block LMS adaptive filters

The frequency domain block LMS (FBLMS) algorithm used for efficient implementation of adaptive filters whose length may exceed a few thousands of taps is explored further by Asharif et al.. To reduce the latency of such filters, it has been proposed that the adaptive filter convolution sum be partitioned into a few smaller sums and then the FBLMS be applied. In this correspondence, we show that the scheme proposed by Asharif et al. suffers from a serious eigenvalue spread problem. We identify the source of this problem and propose a solution to that.