Elimination of overflow oscillations in digital filters employing saturation arithmetic

被引:49
作者
Kar, H [1 ]
Singh, V [1 ]
机构
[1] Atilim Univ, Dept Elect Elect Engn, TR-06836 Ankara, Turkey
关键词
asymptotic stability; digital filters; finite wordlength effects; nonlinear systems;
D O I
10.1016/j.dsp.2005.02.001
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
A criterion for the nonexistence of overflow oscillations in a class of digital filters employing saturation arithmetic is presented. The criterion is based on a novel characterization of the saturation nonlinearity (namely, the 'reduced sector' characterization) and, hence, is quite distinct from previously reported criteria. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码:536 / 544
页数:9
相关论文
共 21 条
[1]  
[Anonymous], 1992, IEEE T CIRCUITS SYST
[2]   OVERFLOW OSCILLATIONS IN DIGITAL FILTERS [J].
EBERT, PM ;
MAZO, JE ;
TAYLOR, MG .
BELL SYSTEM TECHNICAL JOURNAL, 1969, 48 (09) :2999-+
[3]   PARAMETER-DEPENDENT LYAPUNOV FUNCTIONS AND THE DISCRETE-TIME POPOV CRITERION FOR ROBUST ANALYSIS [J].
HADDAD, WM ;
BERNSTEIN, DS .
AUTOMATICA, 1994, 30 (06) :1015-1021
[4]   ON STABILITY OF CERTAIN CLASS OF NONLINEAR SAMPLED-DATA SYSTEMS [J].
JURY, EI ;
LEE, BW .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1964, AC 9 (01) :51-&
[5]   A multivariable extension of the Tsypkin criterion using a Lyapunov-function approach [J].
Kapila, V ;
Haddad, WM .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1996, 41 (01) :149-152
[6]   A new criterion for the overflow stability of second-order state-space digital filters using saturation arithmetic [J].
Kar, H ;
Singh, V .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 1998, 45 (03) :311-313
[7]  
Kaszkurewicz E., 2000, MATRIX DIAGONAL STAB
[8]   ABSOLUTE STABILITY OF HIGH-ORDER DISCRETE-TIME-SYSTEMS UTILIZING SATURATION NONLINEARITY [J].
MITRA, D .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS, 1978, 25 (06) :365-371
[9]   Stability of linear discrete dynamics employing state saturation arithmetic [J].
Ooba, T .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (04) :626-630
[10]   On companion systems with state saturation nonlinearity [J].
Ooba, T .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-FUNDAMENTAL THEORY AND APPLICATIONS, 2003, 50 (12) :1580-1584