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

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)85-94
Number of pages10
JournalElectronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)
Volume76
Issue number12
Publication statusPublished - 1993 Dec

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Filter banks
Digital filters
Sampling
Discrete Fourier transforms

ASJC Scopus subject areas

  • Electrical and Electronic Engineering

Cite this

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title = "Design of 2-D perfect reconstruction filter banks for arbitrary sampling lattices - design of 2-D N-th-band digital filters",
abstract = "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.",
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T1 - Design of 2-D perfect reconstruction filter banks for arbitrary sampling lattices - design of 2-D N-th-band digital filters

AU - Ikehara, Masaaki

AU - Sawada, Kiyoshi

AU - Isobe, Hiroyuki

AU - Yamashita, Akinobu

AU - Kuroda, Hideo

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N2 - 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.

AB - 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.

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