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
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
收藏
页码:1680 / 1683
页数:4
相关论文
共 50 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] MODEL-REDUCTION VIA A QUASI-KALMAN DECOMPOSITION
    LU, WS
    LEE, EB
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1985, 30 (08) : 786 - 790
  • [4] DECOMPOSITION OF 2-D SEPARABLE-DENOMINATOR SYSTEMS - EXISTENCE, UNIQUENESS, AND APPLICATIONS
    LIN, T
    KAWAMATA, M
    HIGUCHI, T
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1987, 34 (03): : 292 - 296
  • [5] SEPARATELY BALANCED REALIZATION AND MODEL-REDUCTION OF 2-D SEPARABLE-DENOMINATOR TRANSFER-FUNCTIONS FROM INPUT OUTPUT DATA
    KUMAR, A
    FAIRMAN, FW
    SVEINSSON, JR
    IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1987, 34 (03): : 233 - 239
  • [6] DECOMPOSITION OF 2-D SEPARABLE-DENOMINATOR SYSTEMS: EXISTENCE, UNIQUENESS, AND APPLICATIONS.
    Lin, Tao
    Kawamata, Masayuki
    Higuchi, Tatsuo
    1600, (CAS-34):
  • [7] Frequency-weighted model reduction via Quasi-Kalman decomposition
    Diab, M
    Sreeram, V
    Liu, WQ
    IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1999, 44 (01) : 139 - 144
  • [8] BALANCED REALIZATION AND MODEL-REDUCTION OF 3-D SEPARABLE-DENOMINATOR TRANSFER-FUNCTIONS
    HINAMOTO, T
    MAEKAWA, S
    SHIMONISHI, J
    VENETSANOPOULOS, AN
    JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS, 1988, 325 (02): : 207 - 219
  • [9] Noise reduction in 2-D separable-denominator digital filters using error feedback
    Hinamoto, T
    Nakamoto, M
    2000 5TH INTERNATIONAL CONFERENCE ON SIGNAL PROCESSING PROCEEDINGS, VOLS I-III, 2000, : 547 - 550
  • [10] DESIGN OF SEPARABLE-DENOMINATOR 2-D DIGITAL-FILTERS USING THE REDUCED-DIMENSIONAL DECOMPOSITION MODEL
    DENG, TB
    KAWAMATA, M
    MULTIDIMENSIONAL SYSTEMS AND SIGNAL PROCESSING, 1992, 3 (01) : 89 - 96