### 抄録

Digital filters play an important role in multidimensional signal processing. Because the coefficients must be expressed in finite wordlength, the deterioration of the characteristics becomes a problem. Using a lattice structure whose efficiency has been confirmed for one-dimensional (1-D) digital filters, this paper proposes a unified synthesis method for the practically important separable-denominator multidimensional IIR digital filters. First, the implementation of a 2-D separable-denominator transfer function by a separable-denominator 2-D digital lattice filter is considered. A characteristic of the proposed separable-denominator 2-D digital lattice filter is that both the usual tapped lattice structure and the injection-type lattice structure are used and the signal flow becomes simple compared to the method so far. Next, when the numerator polynomial is a mirror-image polynomial, an implementation method is presented in which the number of tap multipliers is reduced significantly. Furthermore, a method is suggested for the synthesis of a 3-D transfer function based on the same approach as for the 2-D case. Finally, the efficiency of this method is confirmed by an example.

元の言語 | English |
---|---|

ページ（範囲） | 97-105 |

ページ数 | 9 |

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

巻 | 77 |

発行部数 | 3 |

出版物ステータス | Published - 1994 3 |

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### ASJC Scopus subject areas

- Electrical and Electronic Engineering

### これを引用

**Synthesis of separable-denominator multidimensional digital lattice filters.** / Watanabe, Eiji; Nishihara, Akinori.

研究成果: Article

}

TY - JOUR

T1 - Synthesis of separable-denominator multidimensional digital lattice filters

AU - Watanabe, Eiji

AU - Nishihara, Akinori

PY - 1994/3

Y1 - 1994/3

N2 - Digital filters play an important role in multidimensional signal processing. Because the coefficients must be expressed in finite wordlength, the deterioration of the characteristics becomes a problem. Using a lattice structure whose efficiency has been confirmed for one-dimensional (1-D) digital filters, this paper proposes a unified synthesis method for the practically important separable-denominator multidimensional IIR digital filters. First, the implementation of a 2-D separable-denominator transfer function by a separable-denominator 2-D digital lattice filter is considered. A characteristic of the proposed separable-denominator 2-D digital lattice filter is that both the usual tapped lattice structure and the injection-type lattice structure are used and the signal flow becomes simple compared to the method so far. Next, when the numerator polynomial is a mirror-image polynomial, an implementation method is presented in which the number of tap multipliers is reduced significantly. Furthermore, a method is suggested for the synthesis of a 3-D transfer function based on the same approach as for the 2-D case. Finally, the efficiency of this method is confirmed by an example.

AB - Digital filters play an important role in multidimensional signal processing. Because the coefficients must be expressed in finite wordlength, the deterioration of the characteristics becomes a problem. Using a lattice structure whose efficiency has been confirmed for one-dimensional (1-D) digital filters, this paper proposes a unified synthesis method for the practically important separable-denominator multidimensional IIR digital filters. First, the implementation of a 2-D separable-denominator transfer function by a separable-denominator 2-D digital lattice filter is considered. A characteristic of the proposed separable-denominator 2-D digital lattice filter is that both the usual tapped lattice structure and the injection-type lattice structure are used and the signal flow becomes simple compared to the method so far. Next, when the numerator polynomial is a mirror-image polynomial, an implementation method is presented in which the number of tap multipliers is reduced significantly. Furthermore, a method is suggested for the synthesis of a 3-D transfer function based on the same approach as for the 2-D case. Finally, the efficiency of this method is confirmed by an example.

UR - http://www.scopus.com/inward/record.url?scp=0028383239&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0028383239&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:0028383239

VL - 77

SP - 97

EP - 105

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 - 3

ER -