an:05714411
Zbl 1190.93059
Lee, Ju-Hong; Cheng, Tsai-Hsu; Chen, Hung-Chi
Design of IIR linear-phase nonuniform-division filter banks with signed powers-of-two coefficients
EN
Int. J. Circuit Theory Appl. 37, No. 7, 811-834 (2009).
00253021
2009
j
93C80 93C95 90C47
all-pass filter; nonuniform-division filter bank; CORDIC; minimax optimization
Summary: This paper deals with the minimax design of two-channel Linear-Phase (LP) Non\-uni\-form-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.