Optimal Design of Two-Channel Nonuniform-Division FIR Filter Banks with –1, 0, and +1 Coefficients
Resource
IEEE Transactions on Signal Processing 47 (2): 422-432
Journal
IEEE Transactions on Signal Processing
Journal Volume
47
Journal Issue
2
Pages
422-432
Date Issued
1999-02
Author(s)
Abstract
This paper deals with the optimal design of two-channel nonuniform-division filter (NDF) banks whose linear-phase FIR analysis and synthesis filters have coefficients constrained to -1, 0, and +1 only. Utilizing an approximation scheme and a weighted least squares algorithm, we present a method to design a two-channel NDF bank with continuous coefficients under each of two design criteria, namely, least-squares reconstruction error and stopband response for analysis filters and equiripple reconstruction error and least-squares stopband response for analysis filters. It is shown that the optimal filter coefficients can be obtained by solving only linear equations. In conjunction with the proposed filter structure, a method is then presented to obtain the desired design result with filter coefficients constrained to -1, 0, and +1 only. The effectiveness of the proposed design technique is demonstrated by several simulation examples.
Type
journal article
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