New results on adaptive filtering using filter banks

Abstract

The properties of an adaptive filtering structure which employs an analysis filter bank to decompose the input signal and sparse adaptive filters in the subbands are investigated in this paper. The necessary conditions on the filter bank and on the structure parameters for exact modeling of an arbitrary linear system with finite impulse response (FIR) are derived. Then, based on the results obtained for the sparse subfilter structure, a new family of adaptive structures with critical sampling of the subband signals, which can also yield exact modelization, is obtained. Computer simulations are presented to illustrate the convergence behavior of the adaptive subband structures investigated in the paper.