A limit cycle suppressing arithmetic format for digital filters

被引:3
作者
Bauer, PH [1 ]
Ralev, KR [1 ]
机构
[1] Univ Notre Dame, Dept Elect Engn, Lab Image & Signal Anal, Notre Dame, IN 46556 USA
关键词
block floating point arithmetic; limit cycles; overflow oscillations;
D O I
10.1109/81.728865
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
In this paper it will be shown that any digital filter with a stable transfer function can be implemented free of limit cycles, if block floating point arithmetic is used in conjunction with the so-called exponent saturation and flush-to-zero option. A certain system dependent minimum block mantissa length is required. Limit cycle suppression is achievable regardless of the structure and the quantization format. This format is simple to implement even on fixed point processors and offers high dynamic range.
引用
收藏
页码:1104 / 1107
页数:4
相关论文
共 11 条
[1]  
[Anonymous], 1993, DIGITAL FILTERS ANAL
[2]   ABSOLUTE ERROR-BOUNDS FOR BLOCK FLOATING-POINT DIRECT-FORM DIGITAL-FILTERS [J].
BAUER, PH .
IEEE TRANSACTIONS ON SIGNAL PROCESSING, 1995, 43 (08) :1994-1996
[3]   ABSOLUTE RESPONSE ERROR-BOUNDS FOR FLOATING-POINT DIGITAL-FILTERS IN STATE-SPACE REPRESENTATION [J].
BAUER, PH .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1995, 42 (09) :610-613
[4]   LIMIT-CYCLE BOUNDS FOR FLOATING-POINT IMPLEMENTATIONS OF 2ND-ORDER RECURSIVE DIGITAL-FILTERS [J].
BAUER, PH ;
WANG, J .
IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-ANALOG AND DIGITAL SIGNAL PROCESSING, 1993, 40 (08) :493-501
[5]  
*IEEE, 1985, 7541985 ANSIIEEE
[6]   REALIZATION OF DIGITAL FILTERS USING BLOCK-FLOATING-POINT ARITHMETIC [J].
OPPENHEIM, AV .
IEEE TRANSACTIONS ON AUDIO AND ELECTROACOUSTICS, 1970, AU18 (02) :130-+
[7]  
Ralev K, 1996, PROCEEDINGS OF THE 39TH MIDWEST SYMPOSIUM ON CIRCUITS AND SYSTEMS, VOLS I-III, P1405, DOI 10.1109/MWSCAS.1996.593212
[8]  
Ralev K, 1996, ICECS 96 - PROCEEDINGS OF THE THIRD IEEE INTERNATIONAL CONFERENCE ON ELECTRONICS, CIRCUITS, AND SYSTEMS, VOLS 1 AND 2, P1239, DOI 10.1109/ICECS.1996.584656
[9]  
RALEV K, UNPUB CIRCUITS SYST
[10]  
RALEV K, 1997, P ICASSP 97 MUN GERM, V3, P2197