Stability of a shift-variant 2-D state-space digital filter

被引:1
作者
Mabey, GW [1 ]
Bose, T [1 ]
Chen, M [1 ]
机构
[1] Utah State Univ, Ctr High Speed Informat Proc, Dept Elect & Comp Engn, Logan, UT 84322 USA
来源
2005 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS (ISCAS), VOLS 1-6, CONFERENCE PROCEEDINGS | 2005年
关键词
D O I
10.1109/ISCAS.2005.1464648
中图分类号
TM [电工技术]; TN [电子技术、通信技术];
学科分类号
0808 ; 0809 ;
摘要
Sufficient conditions for stability of time-varying 1-D systems are already well established. This work treats the 2-D case in an approach that parallels that of the 1-D, yet at the same time reveals the heightened complexity of the extension. When "double exponential stability" is guaranteed for a certain set of homogeneous equations, the 2-D system is BIBO stable. The result applies to a generalized form of the Givone-Roesser state-space equations.
引用
收藏
页码:556 / 559
页数:4
相关论文
共 50 条
[11]   A sufficient condition on the exponential stability of two-dimensional (2-D) shift-variant systems [J].
Fan, HJ ;
Wen, CY .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2002, 47 (04) :647-655
[12]   STABILITY OF THE 2-D STATE-SPACE SYSTEM WITH OVERFLOW AND QUANTIZATION [J].
BOSE, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1995, 42 (06) :432-434
[13]   A NOTE ON THE 2-D NOISE MATRIX OF 2-D STATE-SPACE DIGITAL-FILTERS [J].
LIN, T ;
KAWAMATA, M .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1988, 35 (05) :610-611
[14]   Stability analysis of 2-D state-space digital filters using Lyapunov function: A caution [J].
Kar, H ;
Singh, V .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1997, 45 (10) :2620-2621
[15]   State-space formulation of frequency transformation for 2-D digital filters [J].
Koshita, S ;
Kawamata, M .
IEEE SIGNAL PROCESSING LETTERS, 2004, 11 (10) :784-787
[16]   A COEFFICIENT SENSITIVITY BOUND IN 2-D STATE-SPACE DIGITAL FILTERING [J].
ZILOUCHIAN, A ;
CARROLL, RL .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (06) :665-667
[17]   2-D state-space digital filters with error spectrum shaping [J].
Hinamoto, T ;
Karino, S ;
Kuroda, N .
ISCAS 96: 1996 IEEE INTERNATIONAL SYMPOSIUM ON CIRCUITS AND SYSTEMS - CIRCUITS AND SYSTEMS CONNECTING THE WORLD, VOL 2, 1996, :766-769
[18]   2-D STATE-SPACE DIGITAL-FILTERS WITH FEWER MULTIPLIERS [J].
LU, WS ;
ANTONIOU, A .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1986, 33 (09) :882-891
[19]   ROUNDOFF NOISE IN 2-D STATE-SPACE DIGITAL FILTERING - REPLY [J].
MERTZIOS, BG .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1987, 34 (03) :326-329
[20]   2-D STATE-SPACE DIGITAL FILTERS WITH FEWER MULTIPLIERS. [J].
Lu, Wu-Sheng ;
Antoniou, Andreas .
IEEE transactions on circuits and systems, 1986, CAS-33 (09) :882-891