DESIGN OF UNEQUAL-LENGTH LINEAR-PHASE FILTER BANKS WITHOUT REDUNDANCY (WedAmPO2)

Author(s) : Yuichi Tanaka (Keio University, Japan) Akihiro Ochi (Keio University, Japan) Masaaki Ikehara (Keio University, Japan)

Abstract : In this paper, we present a new structure for linear-phase filter banks without redundancy, which have unequal-length filters at each subband. First, we extend the simplified lattice structure of the linear-phase filter bank to the unequal-length linear-phase paraunitary filter bank. In general, the unequal-length linear-phase paraunitary filter bank has equal-length filters at both the analysis and the synthesis bank because the synthesis bank is a transposed version of the analysis one, while the biorthogonal one does not. So, we discuss the conditions that the linear-phase biorthogonal filter bank has unequal-length filters at 1) the analysis bank, 2) the synthesis bank, and 3) both the analysis and the synthesis banks. Finally, several design and image coding examples are shown.

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