Design of linear phase M-channel perfect reconstruction FIR filter banks

Takayuki Nagai, Takaaki Fuchie, Masaaki Ikehara

    Research output: Contribution to journalArticlepeer-review

    5 Citations (Scopus)


    We propose two approaches to design M channel nonparaunitary filter banks that satisfy perfect reconstruction (PR) and linear phase (LP) properties. In the first approach, the PR condition is imposed on only a high pass filter. Although this method does not require nonlinear optimization, it has a demerit in that the order of a highpass filter becomes high. In the second approach, two filters are optimized simultaneously using a Lagrange-Newton method. We can design PR filter banks that have the same length. The PR constraint is also formulated as a linear and nonlinear equation of the analysis filter coefficients. Finally, some design examples are included.

    Original languageEnglish
    Pages (from-to)2380-2387
    Number of pages8
    JournalIEEE Transactions on Signal Processing
    Issue number9
    Publication statusPublished - 1997 Sep 1

    ASJC Scopus subject areas

    • Signal Processing
    • Electrical and Electronic Engineering

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