Design of 2‐D perfect reconstruction filter banks for arbitrary sampling lattices—design of 2‐D N‐th‐band digital filters

Masaaki Ikehara, Kiyoshi Sawada, Hiroyuki Isobe, Akinobu Yamashita, Hideo Kuroda

    研究成果: Article査読

    抄録

    This paper presents a design method of two‐dimensional (2‐D) perfect reconstruction filter banks for arbitrary sampling lattices. First, a design of 2‐D N‐th‐band digital filters with arbitrary sampling lattices is shown. Next, the relation between the sampling matrix and the number of paths is presented and the band‐limited region and the condition of delays are defined. From these conditions, the approximation problem is shown of the 2‐D allpass filter whose 2‐D N‐th‐band filter is composed and the characteristics of 2‐D N‐th‐band filters are explained. Then 2‐D analysis banks consist of 2‐D discrete Fourier transform (DFT) and 2‐D N‐th‐band filter which consists of some delays and 2‐D interpolated allpass networks. To achieve the perfect reconstruction, by evaluating the aliasing component matrix, it is shown that the synthesis banks can also be constructed the same as the analysis bank.

    本文言語English
    ページ(範囲)85-94
    ページ数10
    ジャーナルElectronics and Communications in Japan (Part III: Fundamental Electronic Science)
    76
    12
    DOI
    出版ステータスPublished - 1993

    ASJC Scopus subject areas

    • 電子工学および電気工学

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