An Improved Local Stability Criterion for Digital Filters With Interference and Overflow Nonlinearity

被引:18
作者
Kokil, Priyanka [1 ]
Jogi, Srinivasulu [1 ]
Ahn, Choon Ki [2 ]
Kar, Haranath [3 ]
机构
[1] Indian Inst Informat Technol Design & Mfg Kanchee, Dept Elect & Commun Engn, Chennai 600127, Tamil Nadu, India
[2] Korea Univ, Sch Elect Engn, Seoul 136701, South Korea
[3] 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
Asymptotic stability; saturation arithmetic; overflow oscillation; external interference; linear matrix inequality (LMI); DISCRETE-SYSTEMS; STABILIZATION; OSCILLATIONS;
D O I
10.1109/TCSII.2019.2918788
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 brief presents an improved local stability condition for digital filters with saturation overflow nonlinearities and external interference. This brief analyzes the local stability characteristics of digital filters with zero external interference and achieves the performance level with external interference. The proposed criterion is shown to be an improvement over an existing criterion in the literature. Numerical examples are provided to show the usefulness of the established criterion.
引用
收藏
页码:595 / 599
页数:5
相关论文
共 20 条
[1]   Passivity and Finite-Gain Performance for Two-Dimensional Digital Filters: The FM LSS Model Case [J].
Ahn, Choon Ki ;
Kar, Haranath .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2015, 62 (09) :871-875
[2]   Expected Power Bound for Two-Dimensional Digital Filters in the Fornasini-Marchesini Local State-Space Model [J].
Ahn, Choon Ki ;
Kar, Haranath .
IEEE SIGNAL PROCESSING LETTERS, 2015, 22 (08) :1065-1069
[3]   Toward Local Stability Analysis of Externally Interfered Digital Filters Under Overflow Nonlinearity [J].
Arif, Irza ;
Rehan, Muhammad ;
Tufail, Muhammad .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2017, 64 (05) :595-599
[4]  
Boy S., 1994, LINEAR MATRIX INEQUA
[5]   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
[6]  
Gahinet P., 1995, MATLAB LMI Control Toolbox
[7]   Stability analysis of 2-D state-space digital filters with overflow nonlinearities [J].
Kar, H ;
Singh, V .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2000, 47 (04) :598-601
[8]   Robust stability of 2-D discrete systems described by the Fornasini-Marchesini second model employing quantization/overflow nonlinearities [J].
Kar, H ;
Singh, V .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS, 2004, 51 (11) :598-602
[9]   Stability analysis of 1-D and 2-D fixed-point state-space digital filters using any combination of overflow and quantization nonlinearities [J].
Kar, H ;
Singh, V .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 2001, 49 (05) :1097-1105
[10]   Stability analysis of 2-D digital filters described by the Fornasini-Marchesini second model using overflow nonlinearities [J].
Kar, H ;
Singh, V .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2001, 48 (05) :612-617