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Title: Polyphase conditions and structures for 2-D quincunx FIR filter banks having quadrantal or diagonal symmetries
Keywords: Parameterization
Fir Filters
Cascade Control Systems
Matrix Algebra
Issue Date: 2007
Publisher: IEEE
Citation: IEEE Transactions on Circuits and systems II: express Briefs 54(9), 790-94
Abstract: In this brief, we derive conditions on the polyphase matrix of 2-D finite-impulse response (FIR) quincunx filter banks, for the filters in the filter bank to have quadrantal or diagonal symmetry. These conditions provide a framework for synthesizing polyphase structures which structurally enforce the symmetry. This is demonstrated by constructing examples of small parameterized matrix structures which satisfy the above conditions, thus giving perfect reconstruction FIR quincunx filter banks with quadrantal or diagonally symmetric short-kernel (i.e., short-support) filters. It is also shown that cascades of the above constructed small structures can be used to construct filters of higher order.
ISSN: 1549-7747
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