Minimax Design of Two-Dimensional FIR Linear-Phase Quincunx Filter Banks Satisfying Perfect Reconstruction

Her-Chang CHAO  Bin-Chang CHIEU  Shih-Jen YANG  Ju-Hong LEE  

IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E81-A   No.11   pp.2370-2382
Publication Date: 1998/11/25
Online ISSN: 
Print ISSN: 0916-8508
Type of Manuscript: PAPER
Category: Digital Signal Processing
multirate,  filter banks (FB),  quincunx filter banks (QFB),  minimax,  linear phase (LP),  perfect reconstruction (PR),  

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In this paper, we present a numerical design method for two-dimensional (2-D) FIR linear-phase (LP) quincunx filter banks (QFB) with equiripple magnitude response and perfect reconstruction (PR). The necessary conditions for the filter length of analysis filters are derived. A dual affine scaling variant (DASV) of Karmarkar's algorithm is employed to minimize the peak ripples of analysis filters and an approximation scheme is introduced to satisfy the PR constraint for the 2-D filter banks (FB). The simulation examples are included to show the effectiveness of this proposed design technique.