A reduced structure of the frequency-domain block LMS adaptive digital filter

In this letter, it is shown that the frequency-domain block LMS (FBLMS) adaptive digital filter (ADF) for the block length of one reduces to the frequency-domain LMS (FLMS) ADF. Using the relation between the two convergence factors of the FBLMS and FLMS ADFs, it is possible to predict the steady-state performance of the former from that of the latter.