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Optimal Design of Complex Two-Channel IIR QMF Banks with Equiripple Response
Ju-Hong LEE Yuan-Hau YANG
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences
Publication Date: 2005/08/01
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Digital Signal Processing
complex all-pass filter, doubly-complementary filter, quadrature mirror filter, minimax optimization,
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The optimal design of complex infinite impulse response (IIR) two-channel quadrature mirror filter (QMF) banks with equiripple frequency response is considered. The design problem is appropriately formulated to result in a simple optimization problem. Therefore, based on a variant of Karmarkar's algorithm, we can efficiently solve the optimization problem through a frequency sampling and iterative approximation method to find the complex coefficients for the IIR QMFs. The effectiveness of the proposed technique is to form an appropriate Chebyshev approximation of a desired response and then find its solution from a linear subspace in several iterations. Finally, simulation results are presented for illustration and comparison.