Expected Power Bound for Two-Dimensional Digital Filters in the Fornasini-Marchesini Local State-Space Model

被引:31
作者
Ahn, Choon Ki [1 ]
Kar, Haranath [2 ]
机构
[1] Korea Univ, Sch Elect Engn, Seoul 136701, South Korea
[2] Motilal Nehru Natl Inst Technol Allahabad, Dept Elect & Commun Engn, Allahabad 211004, Uttar Pradesh, India
基金
新加坡国家研究基金会;
关键词
Expected power bound (EPB); Fornasini-Marchesini local state-space (FMLSS) model; two-dimensional (2-D) digital filter; Wiener process noise; 2-D DISCRETE-SYSTEMS; GLOBAL ASYMPTOTIC STABILITY; 2ND MODEL; ROESSER MODEL; OVERFLOW OSCILLATIONS; IMPROVED CRITERION; ROBUST STABILITY; ELIMINATION; L(2);
D O I
10.1109/LSP.2014.2382764
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
This letter examines the expected power bound (EPB) for two-dimensional (2-D) digital filters in the Fornasini-Marchesini local state-space (FMLSS) model with Wiener process noise. The goal of this letter is to establish a new criterion whereby 2-D digital filters in the FMLSS form have a 2-D EPB. The criterion also ensures asymptotic stability without Wiener process noise. A numerical example demonstrates the usefulness of the proposed result. The criterion in the letter and that in [1] provide a systematic framework for EPB of 2-D digital filters.
引用
收藏
页码:1065 / 1069
页数:5
相关论文
共 31 条
[1]   l2 - l∞ Suppression of Limit Cycles in Interfered Two-Dimensional Digital Filters: A Fornasini-Marchesini Model Case [J].
Ahn, Choon Ki .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2014, 61 (08) :614-618
[2]   New passivity criterion for limit cycle oscillation removal of interfered 2D digital filters in the Roesser form with saturation nonlinearity [J].
Ahn, Choon Ki .
NONLINEAR DYNAMICS, 2014, 78 (01) :409-420
[3]   Overflow Oscillation Elimination of 2-D Digital Filters in the Roesser Model with Wiener Process Noise [J].
Ahn, Choon Ki .
IEEE SIGNAL PROCESSING LETTERS, 2014, 21 (10) :1302-1305
[4]   A new realization criterion for 2-D digital filters in the Fornasini-Marchesini second model with interference [J].
Ahn, Choon Ki .
SIGNAL PROCESSING, 2014, 104 :225-231
[5]   l2 - l∞ Elimination of Overflow Oscillations in 2-D Digital Filters Described by Roesser Model With External Interference [J].
Ahn, Choon Ki .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2013, 60 (06) :361-365
[6]   Two-dimensional digital filters described by Roesser model with interference attenuation [J].
Ahn, Choon Ki .
DIGITAL SIGNAL PROCESSING, 2013, 23 (04) :1296-1302
[7]  
Chen H, 2005, LECT NOTES COMPUT SC, V3728, P704
[8]  
Chen H., 2004, US Patent, Patent No. [2004/0128115 A1, 20040128115]
[9]   EFFECTS OF QUANTIZATION AND OVERFLOW IN RECURSIVE DIGITAL-FILTERS [J].
CLAASEN, TACM ;
MECKLENBRAUKER, WFG ;
PEEK, JBH .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1976, 24 (06) :517-529
[10]   LMI-based criterion for the robust guaranteed cost control of 2-D systems described by the Fornasini-Marchesini second model [J].
Dhawan, Amit ;
Kar, Haranath .
SIGNAL PROCESSING, 2007, 87 (03) :479-488