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Summary: DESIGN OF OPTIMAL QUINCUNX FILTER BANKS FOR IMAGE CODING VIA
SEQUENTIAL QUADRATIC PROGRAMMING
Yi Chen, Michael D. Adams, and Wu-Sheng Lu
Dept. of Elec. and Comp. Eng., University of Victoria, Victoria, BC, Canada
ABSTRACT
Sequential quadratic programming is used to design high-performance
quincunx filter banks for image coding, where the resulting filter
banks have perfect reconstruction, linear phase, high coding gain,
good frequency selectivity, and certain prescribed vanishing-moment
properties. Design examples are presented and compared to various
previously proposed filter banks. The new filter banks are shown
to be highly effective for image coding, outperforming previously
proposed quincunx filter banks in most cases, and outperforming the
well-known 9/7 filter bank in some limited cases.
Index Terms-- Multidimensional signal processing, optimiza-
tion methods, wavelet transforms, image coding
1. INTRODUCTION
Quincunx filter banks are two-dimensional (2D) two-channel non-
separable filter banks, and have been shown to be a highly effective
tool for image coding applications. In such applications, it is usually
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