Time-domain design and lattice structure of FIR paraunitary filter banks with linear phase

Masaaki Ikehara, Takayuki Nagai, Truong Q. Nguyen

    Research output: Contribution to journalArticle

    9 Citations (Scopus)

    Abstract

    In this paper, we present a novel way to design biorthogonal and paraunitary linear phase filter banks. The square error of the time-domain constraints on the perfect reconstruction filter bank is expressed in a quadratic form with respect to the filter coefficients. This cost function is minimized by solving a set of linear equations iteratively. This means one can design biorthogonal filter banks without using nonlinear programming techniques. With some modifications, the method can be extended to the design of paraunitary filter banks. In addition, the lattice structure of paraunitary filter banks with filter length KM + β is also derived. Finally, some design examples are presented to validate the proposed method.

    Original languageEnglish
    Pages (from-to)333-342
    Number of pages10
    JournalSignal Processing
    Volume80
    Issue number2
    DOIs
    Publication statusPublished - 2000 Feb

    ASJC Scopus subject areas

    • Control and Systems Engineering
    • Software
    • Signal Processing
    • Computer Vision and Pattern Recognition
    • Electrical and Electronic Engineering

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