An Algorithm for Balanced Approximation and Model Reduction of 2-D Separable-in-Denominator Filters

被引：0
作者：
Dali Wang
Ali Zilouchian
Ying Bai
机构：
[1] Christopher Newport University,Department of Physics, Computer Science & Engineering
[2] Florida Atlantic University,Department of Electrical Engineering
[3] Johnson C. Smith University,Department of Computer Science & Engineering
来源：
Multidimensional Systems and Signal Processing | 2005年 / 16卷
关键词：
Artificial Intelligence; Frequency Domain; Model Reduction; Structure Approach; Digital Filter;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
Model reduction of two-dimensional (2-D) Separable-in-Denominator Digital Filters (SDDF) using frequency domain balanced realization is proposed. The frequency domain controllability and observability Grammians are introduced and their appropriate Lyapunov equations are developed. The approach could be viewed as the generalization of the existing balanced structure approach in a specific frequency range of operation. Various properties of the proposed frequency domain balanced structure are investigated. A comparison study of the proposed method with the available techniques is presented using numerical examples
引用
收藏
页码：439 / 461
页数：22
相关论文
共 50 条
[41]   Model Reduction in Symbolically Semi-separable Systems with Application to Pre-conditioners for 3D Sparse Systems of Equations [J].
Dewilde, Patrick ;
Jiao, Haiyan ;
Chandrasekaran, Shiv .
CHARACTERISTIC FUNCTIONS, SCATTERING FUNCTIONS AND TRANSFER FUNCTIONS: THE MOSHE LIVSIC MEMORIAL VOLUME, 2010, 197 :99-+
[42]   Model reduction for multidisciplinary optimization - application to a 2D wing [J].
Rajan Filomeno Coelho ;
Piotr Breitkopf ;
Catherine Knopf-Lenoir .
Structural and Multidisciplinary Optimization, 2008, 37 :29-48
[43]   Model reduction for multidisciplinary optimization - application to a 2D wing [J].
Coelho, Rajan Filomeno ;
Breitkopf, Piotr ;
Knopf-Lenoir, Catherine .
STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION, 2008, 37 (01) :29-48
[44]   Improved LMI-based criterion for global asymptotic stability of 2-D state-space digital filters described by Roesser model using two's complement arithmetic [J].
Singh, Vimal .
DIGITAL SIGNAL PROCESSING, 2012, 22 (03) :471-475
[45]   A Nonlinear Optimization Design Algorithm for Nearly Linear-Phase 2D IIR Digital Filters [J].
Omar, Abdussalam ;
Shpak, Dale ;
Agathoklis, Panajotis ;
Moa, Belaid .
SIGNALS, 2023, 4 (03) :575-590
[46]   2-D Reduced Model for Eddy Currents Calculation in Litz Wire and Its Application for Switched Reluctance Machine [J].
Al Eit, M. ;
Bouillault, F. ;
Marchand, C. ;
Krebs, G. .
IEEE TRANSACTIONS ON MAGNETICS, 2016, 52 (03)
[47]   Two-sided Grassmann manifold algorithm for optimal H2 model reduction [J].
Zeng, Taishan ;
Lu, Chunyuan .
INTERNATIONAL JOURNAL FOR NUMERICAL METHODS IN ENGINEERING, 2015, 104 (10) :928-943
[48]   A novel word length selection method for a guaranteed H∞ interference rejection performance and overflow oscillation-free realization of 2-D digital filters [J].
Arif, Irza ;
Tufail, Muhammad ;
Rehan, Muhammad ;
Ahn, Choon Ki .
MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2018, 29 (04) :1331-1350
[49]   Finite Frequency Approach for H∞ model reduction of 2D continuous systems [J].
El-Amrani, Abderrahim ;
El Hajjaji, Ahmed ;
Boumhidi, Ismail ;
Hmamed, Abdelaziz ;
Aitouche, Abdel .
2019 27TH MEDITERRANEAN CONFERENCE ON CONTROL AND AUTOMATION (MED), 2019, :177-182
[50]   Robust finite frequency H∞ model reduction for uncertain 2D continuous systems [J].
El-Amrani, A. ;
Boukili, B. ;
El Hajjaji, A. ;
Hmamed, A. ;
Boumhidi, I. .
2019 IEEE 58TH CONFERENCE ON DECISION AND CONTROL (CDC), 2019, :5629-5634
12345