### 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 language | English |
---|---|

Pages (from-to) | 85-94 |

Number of pages | 10 |

Journal | Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi) |

Volume | 76 |

Issue number | 12 |

Publication status | Published - 1993 Dec |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### Cite this

*Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)*,

*76*(12), 85-94.

**Design of 2-D perfect reconstruction filter banks for arbitrary sampling lattices - design of 2-D N-th-band digital filters.** / Ikehara, Masaaki; Sawada, Kiyoshi; Isobe, Hiroyuki; Yamashita, Akinobu; Kuroda, Hideo.

Research output: Contribution to journal › Article

*Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)*, vol. 76, no. 12, pp. 85-94.

}

TY - JOUR

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

PY - 1993/12

Y1 - 1993/12

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.

UR - http://www.scopus.com/inward/record.url?scp=0027727523&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0027727523&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0027727523

VL - 76

SP - 85

EP - 94

JO - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)

JF - Electronics and Communications in Japan, Part III: Fundamental Electronic Science (English translation of Denshi Tsushin Gakkai Ronbunshi)

SN - 1042-0967

IS - 12

ER -