DocumentCode :
2605658
Title :
Absolute response error bounds for floating point digital filters in state space representation
Author :
Bauer, Peter H.
Author_Institution :
Dept. of Electr. Eng., Notre Dame Univ., IN, USA
fYear :
1993
fDate :
3-6 May 1993
Firstpage :
619
Abstract :
The dynamic behavior of state space models for linear systems under the influence of floating point quantization is investigated. Using a previously developed method, tight bounds on the limit cycle amplitudes in each state are derived. It is shown that by using a very small number of mantissa bits for many systems limit cycles occur only in underflow conditions. The results confirm previous knowledge obtained from direct form filters that limit cycles in any linearly stable system implemented in floating point arithmetic can be made arbitrarily small by choosing a sufficiently large mantissa and exponent register length. The analysis also show that the quantization and reformatting scheme have little effect on the derived error bounds
Keywords :
digital filters; errors; filtering theory; floating point arithmetic; limit cycles; state-space methods; absolute response error bounds; dynamic behavior; floating point digital filters; floating point quantization; limit cycle amplitudes; state space models; Digital filters; Floating-point arithmetic; Laboratories; Limit-cycles; Linear systems; Quantization; Registers; Signal analysis; State-space methods; USA Councils;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location :
Chicago, IL
Print_ISBN :
0-7803-1281-3
Type :
conf
DOI :
10.1109/ISCAS.1993.393797
Filename :
393797
Link To Document :
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