The complex subband decomposition and its application to the decimation of large adaptive filtering problems

Authors:
J.P. Reilly;M. Wilbur;M. Seibert;N. Ahmadvand
Affiliations:
Dept. of Electr. & Comput. Eng., McMaster Univ., Hamilton, Ont.;-;-;-
Venue:
IEEE Transactions on Signal Processing
Year:
2002

Citing 0
Cited 4

Simplified design of low-delay oversampled NPR GDFT filterbanks

EURASIP Journal on Applied Signal Processing
Design of low-delay nonuniform oversampled filterbanks

Signal Processing
Equalization of multichannel acoustic systems in oversampled subbands

IEEE Transactions on Audio, Speech, and Language Processing
Multichannel Online Blind Speech Dereverberation with Marginalization of Static Observation Parameters in a Rao-Blackwellized Particle Filter

Journal of Signal Processing Systems

Quantified Score

Hi-index	35.68

Visualization

Abstract

We show that a near perfect reconstruction (NPR) M-channel filterbank with a diagonal system inserted between the analysis and synthesis filterbanks may be used to decompose a finite impulse response (FIR) system of order L into M complex subband components, each of order L/K, where K is the downsampling rate. This decomposition is at the expense of using complex arithmetic for the subband processing. The theory surrounding the proposed filterbank structure leads to a new understanding of subbanded adaptive filtering implementations. It also leads naturally to a delayless subbanded adaptive filter scheme. Using conditions on the analysis and synthesis filters, the formulas for the subband components and their respective properties are developed. Simulation results for an acoustic echo cancellation (AEC) example are given to support the developed theory.