Minimax design of two-channel nonuniform-division filterbanks using IIR allpass filters
Resource
IEEE Transactions on Signal Processing 52 (11): 3227-3240
Journal
IEEE Transactions on Signal Processing
Journal Volume
52
Journal Issue
11
Pages
3227-3240
Date Issued
2004
Date
2004
Author(s)
Yang, Yuan-Hau
Abstract
The design of two-channel linear-phase nonuniform-division filter (NDF) banks constructed by infinite impulse response (HR) digital allpass filters (DAFs) in the sense of L∞ error criteria is considered. First, the theory of two-channel NDF bank structures using two IIR DAFs is developed. Then, the design problem is appropriately formulated to result in a simple optimization problem. Utilizing a variant of Karmarkar's algorithm, we can efficiently solve the optimization problem through a frequency sampling and iterative approximation method to find the coefficients for the HR DAFs. The resulting two-channel NDF banks can possess approximately linear-phase response without magnitude distortion. The effectiveness of the proposed technique is achieved by forming an appropriate Chebyshev approximation of a desired phase response and then to find its solution from a linear subspace in a few iterations. Several simulation examples are presented for illustration and comparison. © 2004 IEEE.
Other Subjects
Chebyshev approximation; Computer simulation; IIR filters; Iterative methods; Optimization; Allpass filters; Minimax optimization; Nonuniform-division filterbank; Signal filtering and prediction
Type
journal article
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