M-channel nonlinear phase filter banks in image compression: Structure, design, and signal extension

Toshiyuki Uto, Tomohiro Oka, Masaaki Ikehara

    Research output: Contribution to journalArticle

    16 Citations (Scopus)

    Abstract

    This paper describes a transform coding technique based on M-channel perfect reconstruction filter banks with a nonlinear phase. In contrast with linear-phase filter banks, the nonlinearity provides an extra degree of freedom that can be used to design a more efficient transform. We present new lattice structures of paraunitary and perfect reconstruction (biorthogonal) filter banks, which can be implemented with a lower computational complexity and/or represented by a few free parameters, through the decomposition of the lattice blocks and the displacement across the delay block. We further discuss a smooth extension method for nonlinear-phase filter banks to obtain a nonexpansive transform. The promise of our proposed approaches is demonstrated through several design examples, extended signals and compression results.

    Original languageEnglish
    Pages (from-to)1339-1351
    Number of pages13
    JournalIEEE Transactions on Signal Processing
    Volume55
    Issue number4
    DOIs
    Publication statusPublished - 2007 Apr 1

    Keywords

    • Image coding
    • Lattice structure
    • Nonexpansive decomposition
    • Nonlinear phase filter bank

    ASJC Scopus subject areas

    • Signal Processing
    • Electrical and Electronic Engineering

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