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
  • [1] An algorithm for balanced approximation and model reduction of 2-D separable-in-denominator filters
    Wang, DL
    Zilouchian, A
    Bai, Y
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 2005, 16 (04) : 439 - 461
  • [2] On the Implementation of 2-D Separable-in-Denominator Recursive Filters
    Wang, Dali
    Zilouchian, Ali
    Bai, Ying
    2014 IEEE 23RD INTERNATIONAL SYMPOSIUM ON INDUSTRIAL ELECTRONICS (ISIE), 2014, : 1021 - 1025
  • [3] APPROXIMATION OF 2-D SEPARABLE IN DENOMINATOR FILTERS
    LASHGARI, B
    SILVERMAN, LM
    ABRAMATIC, JF
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1983, 30 (02): : 107 - 121
  • [4] Modular structure realizations of 2-D separable-in-denominator recursive digital filters
    Wang, Dali
    Zilouchian, Ali
    Zhao, Jiying
    Huang, Ziqiang
    SIGNAL PROCESSING, 2007, 87 (11) : 2686 - 2694
  • [5] The block-optimal realization of separable-in-denominator 2-D digital filters
    Zilouchian, A
    Haung, Z
    Wang, D
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1999, 46 (04): : 457 - 460
  • [6] ON HIGHLY MODULAR SYSTOLIC STRUCTURES FOR SEPARABLE-IN-DENOMINATOR 2-D DIGITAL-FILTERS
    ZILOUCHIAN, A
    HUANG, Z
    IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1994, 42 (07) : 1881 - 1884
  • [7] Quantization Error Calculation of Various Realizations of 2-D Separable-in-Denominator Recursive Filters
    Wang, Dali
    Bai, Ying
    Zilouchian, Ali
    2015 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), 2015, : 2189 - 2192
  • [8] A SUBSPACE ALGORITHM FOR IDENTIFYING 2-D SEPARABLE IN DENOMINATOR FILTERS
    RAMOS, J
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1994, 41 (01): : 63 - 66
  • [9] Subspace System Identification of Separable-in-Denominator 2-D Stochastic Systems
    Ramos, Jose A.
    Lopes dos Santos, Paulo J.
    2011 50TH IEEE CONFERENCE ON DECISION AND CONTROL AND EUROPEAN CONTROL CONFERENCE (CDC-ECC), 2011, : 1491 - 1496
  • [10] Subspace identification for closed-loop 2-D separable-in-denominator systems
    Jinxu Cheng
    Mengqi Fang
    Youqing Wang
    Multidimensional Systems and Signal Processing, 2017, 28 : 1499 - 1521