Synthesis of 3-D Separable-Denominator State-Space Digital Filters with Minimum L2-Sensitivity

被引：0

作者：

Takao Hinamoto

Yuji Sugie

Akimitsu Doi

Mitsuji Muneyasu

机构：

[1] Hiroshima University,Graduate School of Engineering

[2] Hiroshima Institute of Technology,Department of Electrical and Digital System Engineering

[3] Kansai University,Department of Electronic Engineering

来源：

Multidimensional Systems and Signal Processing | 2004年 / 15卷

关键词：

3-D digital filter; Roesser's local state-space model; separable denominator; -sensitivity analysis; -sensitivity minimization; optimal filter realization;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

This paper deals with the analysis and minimization of L2-sensitivity for three-dimensional state-space digital filters which are separable in the denominator. First, a novel expression for evaluating the L2-sensitivity is developed in closed form. An iterative procedure for synthesizing the optimal filter structures is then presented so as to minimize the L2-sensitivity. Finally, a numerical example is given to illustrate the utility of the proposed technique.

引用

页码：147 / 167

页数：20

共 13 条

[1] Synthesis of 3-D separable-denominator state-space digital filters with minimum L2-sensitivity
Hinamoto, T
Sugie, Y
Doi, A
Muneyasu, M
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2004, 15 (02) : 147 - 167
[2] L2-sensitivity analysis and minimization of 2-D separable-denominator state-space digital filters
Hinamoto, T
Sugie, Y
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2002, 50 (12) : 3107 - 3114
[3] A Spatial-Domain Technique for the Design of 3-D Separable-Denominator State-Space Digital Filters
Akimitsu Doi
Takao Hinamoto
Multidimensional Systems and Signal Processing, 2001, 12 : 89 - 98
[4] A spatial-domain technique for the design of 3-D separable-denominator state-space digital filters
Doi, A
Hinamoto, T
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2001, 12 (01) : 89 - 98
[5] Minimization of l2-sensitivity for 2-D separable-denominator state-space digital filters subject to l2-scaling constraints using a Lagrange function and a bisection method
Hinamoto, Takao
Shibata, Yukihiro
Nakamoto, Masayoshi
ICINCO 2007: PROCEEDINGS OF THE FOURTH INTERNATIONAL CONFERENCE ON INFORMATICS IN CONTROL, AUTOMATION AND ROBOTICS, VOL SPSMC: SIGNAL PROCESSING, SYSTEMS MODELING AND CONTROL, 2007, : 190 - 195
[6] Realization of 3-D adaptive separable-denominator state space filters suitable for parallel processing
Muneyasu, M
Ishizaki, N
Hinamoto, T
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE, 1996, 79 (10): : 67 - 78
[7] DESIGN OF 3-D SEPARABLE-DENOMINATOR DIGITAL-FILTERS USING MINIMAL DECOMPOSITION AND BALANCED REALIZATION
HINAMOTO, T
HARADA, KI
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE, 1994, 77 (10): : 83 - 91
[8] Modular systolic array implementation for separable denominator 2-D block state-space digital filters based on reduced-dimensional decomposition
Tsunekawa, Y
Miura, M
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE, 2000, 83 (02): : 55 - 66
[9] Systolic array implementation for separable denominator two-dimensional state-space digital filters based on the reduced-dimensional decomposition
Tsunekawa, Y
Miura, M
ELECTRONICS AND COMMUNICATIONS IN JAPAN PART III-FUNDAMENTAL ELECTRONIC SCIENCE, 1997, 80 (01): : 69 - 79
[10] Analysis and minimization of L2-sensitivity for linear systems and two-dimensional state-space filters using general controllability and observability Gramians
Hinamoto, T
Yokoyama, S
Inoue, T
Zeng, W
Lu, WS
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS, 2002, 49 (09) : 1279 - 1289

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