Inherent Decorrelating and Least Perturbation Properties of the Normalized Subband Adaptive Filter

Authors:
K.A. Lee;W.S. Gan
Affiliations:
Sch. of Electr. & Electron. Eng., Nanyang Technol. Univ.;-
Venue:
IEEE Transactions on Signal Processing
Year:
2006

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Abstract

This correspondence describes and analyzes a class of subband adaptive filters (SAFs) that stems from various approaches of applying subband and multirate techniques in adaptive filtering. This class of SAFs, called the normalized SAF (NSAF), has a unique weight-control mechanism, whereby subband error signals are used to adapt a fullband tap-weight vector. In this correspondence, we elaborate on the inherent decorrelating properties of the NSAF, which manifest themselves in different forms as integral elements of the weight-control mechanism. We also show that the NSAF possesses some least perturbation properties that are also found in the normalized least-mean-square (NLMS) and affine projection (AP) algorithms