Model reduction of 2-D separable-denominator transfer functions via quasi-Kalman decomposition.

被引：0

作者：

Diab, M

Sreeram, V

Liu, WQ

机构：

来源：

ISCAS '97 - PROCEEDINGS OF 1997 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS I - IV: CIRCUITS AND SYSTEMS IN THE INFORMATION AGE | 1997年

关键词：

digital filters; linear systems; model reduction;

D O I：

暂无

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper a model reduction algorithm for casual recursive separable denominator (CRSD) 2-D digital systems is proposed. The algorithm is based on the quasi-Kalman decomposition (QKD) method developed in [2] for 1-D systems. The proposed algorithm employs singular value decomposition of the horizontal and vertical This leads to producing two sets of finite Gramians where in each set the finite Gramians are equal and diagonal. An example is given in order to illustrate the method.

引用

页码：1680 / 1683

页数：4

共 14 条

[1] Model reduction of 2-D separable-denominator transfer functions via quasi-Kalman decomposition
Diab, M
Sreeram, V
Liu, WQ
IEE PROCEEDINGS-CIRCUITS DEVICES AND SYSTEMS, 1998, 145 (01): : 13 - 18
[2] Optimal 2-D separable-denominator approximants for 2-D transfer functions
Guo, TY
Guo, JC
JOURNAL OF THE CHINESE INSTITUTE OF ENGINEERS, 1997, 20 (02) : 213 - 221
[3] Frequency-weighted model reduction via Quasi-Kalman decomposition
Diab, M
Sreeram, V
Liu, WQ
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (01) : 139 - 144
[4] Frequency weighted identification and model reduction of 2-D separable denominator systems
Treasure, R.
Ghafoor, A.
Sreeram, V.
International Journal of Modelling and Simulation, 2008, 28 (04) : 361 - 368
[5] Improved model reduction procedure for 2-D separable denominator digital systems
Xiao, CS
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1997, 44 (11): : 979 - 982
[6] A Sequential Partial Optimization Algorithm for Minimax Design of Separable-Denominator 2-D IIR Filters
Lai, Xiaoping
Meng, Hailong
Cao, Jiuwen
Lin, Zhiping
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2017, 65 (04) : 876 - 887
[7] 2-D weighted impulse response Gramians and model reduction of 2-D separable denominator digital systems
Xiao, CS
COMPUTERS & ELECTRICAL ENGINEERING, 1996, 22 (05) : 293 - 303
[8] An Algorithm for Balanced Approximation and Model Reduction of 2-D Separable-in-Denominator Filters
Dali Wang
Ali Zilouchian
Ying Bai
Multidimensional Systems and Signal Processing, 2005, 16 : 439 - 461
[9] GENERAL-APPROACH TO EFFICIENT IMPLEMENTATION OF 2-D DENOMINATOR-SEPARABLE DIGITAL TRANSFER-FUNCTIONS
NIE, X
RAGHURAMIREDDY, D
UNBEHAUEN, R
ELECTRONICS LETTERS, 1992, 28 (14) : 1293 - 1295
[10] Analysis and Minimization of Roundoff Noise for Generalized Direct-Form II Realization of 2-D Separable-Denominator Filters
Hinamoto, Takao
Doi, Akimitsu
Lu, Wu-Sheng
IEICE TRANSACTIONS ON FUNDAMENTALS OF ELECTRONICS COMMUNICATIONS AND COMPUTER SCIENCES, 2020, E103A (07) : 873 - 884

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