Optimal design of nonuniform multirate filter banks
type: Item
instance of: scholarly article
title: Optimal design of nonuniform multirate filter banks
zbMATH Open document ID: 0941.93036
DOI: 10.1007/BF01387469
author: Aryan Saadat Mehr
author: Tongwen Chen
published in: Circuits, Systems, and Signal Processing
publication date: 2000-07-31T00:00:00Z
review text: The aim of the paper is to study the optimal design of non-uniform filter banks. In the proposed method, the initial finite impulse response (FIR) analysis filters are designed accordingly to the characteristics of the input, while the FIR synthesis filters are obtained on the basis of an \(H_2\)-norm of system error that is minimized over all synthesis filters having a prespecified order. Then, the synthesis filters obtained in the previous step are fixed, and the analysis filters are designed and found again similarly. At each iteration, the \(H_2\)-norm of the system error is decreased until its convergence to a final value. The coefficients of the analysis or synthesis filters are found, at each iteration of the design procedure, as the least squares solution of a system of linear equations. In order to be improved when necessary, the frequency characteristics of the obtained filters can be altered by adding penalty terms to the objective function.
reviewed by: Neculai Curteanu
Mathematics Subject Classification ID: 93C62
Mathematics Subject Classification ID: 94A12
zbMATH DE Number: 1423833
zbMATH Keywords: multirate systems
zbMATH Keywords: multirate signal processing
zbMATH Keywords: finite impulse response analysis filters
zbMATH Keywords: optimal design
zbMATH Keywords: non-uniform filter banks
zbMATH Keywords: FIR synthesis filters
zbMATH Keywords: \(H_2\)-norm
MaRDI profile type: Publication
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full work available at URL: https://doi.org/10.1007/bf01387469
OpenAlex ID: W2059835477
description: scientific article; zbMATH DE number 1423833