Design of two‐channel perfect reconstruction QMF

Masaaki Ikehara, Akinobu Yamashita, Hideo Kuroda

    Research output: Contribution to journalArticle

    3 Citations (Scopus)

    Abstract

    This paper proposes a design method for the FIR two‐channel perfect quadrature mirror filter (QMF) with the linear phase. The two‐channel perfect QMF can be designed by Vetterli's method, where a system of equations representing the condition for the perfect reconstruction of the signal is solved. The filter designed by this method, however, does not, in general, have good frequency characteristics. This paper presents the design for the two‐channel QMF with a perfect reconstruction and a good amplitude characteristic. The method is based on Vetterli's method, and a constraint to approximate the amplitude characteristic in the frequency domain is added to the condition of perfect reconstruction in time domain. Then Remez' algorithm is applied to the derived system of equations. The construction of the two‐channel perfect QMF, when the coefficient is quantized, also is discussed. Furthermore, a method is shown in which the two‐dimensional (2‐D) perfect QMF is designed by applying the McClellan transformation to the obtained 1‐D QMF. The condition for the McClellan transformation for the perfect reconstruction is derived.

    Original languageEnglish
    Pages (from-to)28-38
    Number of pages11
    JournalElectronics and Communications in Japan (Part III: Fundamental Electronic Science)
    Volume76
    Issue number5
    DOIs
    Publication statusPublished - 1993

    Keywords

    • 2‐D QMF
    • Perfect reconstruction
    • Remez algorithm
    • coefficient quantization

    ASJC Scopus subject areas

    • Electrical and Electronic Engineering

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