Two-channel parallelogram QMF banks using 2-D NSHP digital all-pass filters

Authors:
Ju-Hong Lee;Yuan-Hau Yang
Affiliations:
Department of Electrical Engineering, Graduate Institute of Communication Engineering, and the Graduate Institute of Biomedical Electronics and Bioinformatics, National Taiwan University, Taipei, ...;Novatek Microelectronics Corporation, Hsinchu, Taiwan and Graduate Institute of Communication Engineering, National Taiwan University, Taipei, Taiwan
Venue:
IEEE Transactions on Circuits and Systems Part I: Regular Papers - Special section on 2009 IEEE custom integrated circuits conference
Year:
2010

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Abstract

This paper presents a novel structure for the analysis and synthesis filters of two-channel parallelogram quadrature mirror filter (PQMF) banks. Two-dimensional recursive digital allpass filters (DAFs) with nonsymmetric half-plane (NSHP) support regions are used as the basic sections for building this structure. With an appropriate combination of the 2-D NSHP DAFs, the resultant analysis/synthesis filters possess a 2-D doubly complementary symmetry that facilitates the design and implementation of two-channel PQMF banks. Moreover, the proposed PQMF bank provides approximately linear-phase response without magnitude distortion. The design problem of the proposed PQMF bank is appropriately formulated to result in a minimization of the linearphase error associated with the 2-D NSHP DAFs in the pth-norm (Lp) sense. Efficient design techniques are developed to solve the Lp optimization problems. Simulation results for illustration and comparison are also provided.