Design of Two-Channel Linear Phase QMF Banks Based on Real IIR All-Pass Filters
Journal
IEE Proceedings-Vision, Image and Signal Processing
Journal Volume
150
Journal Issue
5
Pages
331-338
Date Issued
2003-10
Author(s)
Abstract
The design of two-channel linear-phase quadrature mirror filter (QMF) banks constructed by real infinite impulse response (IIR) digital all-pass filters is considered. The design problem is appropriately formulated to result in a simple optimisation problem. Using a variant of Karmarkar's algorithm, the optimisation problem can be efficiently solved through a frequency sampling and iterative approximation method to find the real coefficients for the IIR digital all-pass filters. The resulting two-channel QMF banks possess an approximately linear phase response without magnitude distortion. The effectiveness of the proposed technique is achieved by forming an appropriate Chebyshev approximation of the desired phase response and then finding its solution from a linear subspace in a few iterations. Finally, several simulation examples are presented for illustration and comparison.
Other Subjects
Algorithms; Approximation theory; Digital filters; Impulse response; Iterative methods; Digital all-pass filters (DAF); Quadrature mirror filters (QMF); Signal processing
Type
conference paper