Convergence analysis of a new subband adaptive structure with critical sampling

In this paper, we present a convergence analysis of the subband adaptive filter structure with critical sampling recently proposed by the authors. This new adaptive subband structure yields exact modeling of FIR systems and leads to computational complexity savings of the order of the number of subbands. Two adaptation algorithms are investigated for the updating of the adaptive coefficients of this new subband structure, and a theoretical analysis of their convergence rates and misadjustments is derived. Computer simulations are presented in order to verify the performance of the proposed algorithms and the theoretical results