Elimination of overflow oscillations in fixed-point state-space digital filters using saturation arithmetic: An LMI approach

被引：18
作者：
Singh, V [1 ]
机构：
[1] Atilim Univ, Dept Elect Elect Engn, TR-06836 Ankara, Turkey
来源：
DIGITAL SIGNAL PROCESSING | 2006年 / 16卷 / 01期
关键词：
asymptotic stability; digital filters; finite wordlength effects; nonlinear systems;
D O I：
10.1016/j.dsp.2005.04.003
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 fixed-point state-space digital filters employing saturation arithmetic is presented. The criterion possesses the structure of linear matrix inequality and hence is computationally tractable. The criterion is compared with an earlier LMI-based criterion. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：45 / 51
页数：7
相关论文
共 18 条
[1]  
[Anonymous], 1992, IEEE T CIRCUITS SYST
[2]  
Boy S., 1994, Linear MatrixInequalities in System and Control Theory
[3]  
Butterweck H.J., 1988, 88E205 EUT
[4]  
Classen T., 1976, IEEE T ACOUST SPEECH, VASSP-24, P517
[5]   OVERFLOW OSCILLATIONS IN DIGITAL FILTERS [J].
EBERT, PM ;
MAZO, JE ;
TAYLOR, MG .
BELL SYSTEM TECHNICAL JOURNAL, 1969, 48 (09) :2999-+
[6]  
Gahinet P., 1995, LMI Control Toolbox
[7]   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
[8]   DIGITAL-FILTER REALIZATIONS WITHOUT OVERFLOW OSCILLATIONS [J].
MILLS, WL ;
MULLIS, CT ;
ROBERTS, RA .
IEEE TRANSACTIONS ON ACOUSTICS SPEECH AND SIGNAL PROCESSING, 1978, 26 (04) :334-338
[9]   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
[10]   Stability of linear discrete dynamics employing state saturation arithmetic [J].
Ooba, T .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 2003, 48 (04) :626-630
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