Design of IIR linear-phase nonuniform-division filter banks with signed powers-of-two coefficients

This paper deals with the minimax design of two-channel linear-phase (LP) nonuniform-division filter (NDF) banks using infinite impulse response (IIR) digital all-pass filters (DAFs) with signed powers-of-two (SPT) coefficients. Based on the theory of two-channel NDF banks using two IIR DAFs, the design problem is appropriately formulated to result in an appropriate Chebyshev approximation for the desired phase responses of the IIR DAFs. Through a frequency sampling and iterative approximation method, the optimization problem for finding the SPT coefficients for the IIR DAFs can be solved by utilizing a weighted least-squares approach in conjunction with a coordinate rotational digital computer (CORDIC) algorithm. The resulting two-channel SPT coefficient NDF banks can possess approximately LP response without magnitude distortion. Several simulation examples are presented for illustration and comparison. Copyright © 2008 John Wiley & Sons, Ltd.

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