DocumentCode :
284957
Title :
Optimal synthetic FWI design of state-space digital filters
Author :
Li, Gang ; GEVERS, Michel
Author_Institution :
Lab. d´´Autom., Dynamique et Anal. des Syst., Univ. Catholique de Louvain, Belgium
Volume :
4
fYear :
1992
fDate :
23-26 Mar 1992
Firstpage :
429
Abstract :
The optimal finite word length (FWL) design problem of state-space filters is investigated. Instead of the usual L1/L2-mixed sensitivity measure, it is argued that a sensitivity measure based on the L2 norm only is natural and reasonable. The minimization problem of this newly defined sensitivity measure is studied. The set of optimal realizations minimizing this measure is characterized. It is shown that the FWL effects can be synthesized by what is called FWL noise gain (FNG), which is a linear combination of the classical roundoff noise gain and the L2 sensitivity measure. By minimizing the FNG with dynamical constraint, the optimal synthetic FWL state-space design problem is formulated. The existence of optimal realizations is shown. The necessary and sufficient condition equation that should be satisfied by the optimal realizations is given
Keywords :
digital filters; network synthesis; state-space methods; FWL noise gain; L2 norm; L2 sensitivity measure; dynamical constraint; minimization problem; optimal finite word length; roundoff noise gain; state-space design; state-space digital filters; Degradation; Digital filters; Equations; Gain measurement; Linear systems; Noise measurement; State-space methods; Sufficient conditions; System performance; Transfer functions;
fLanguage :
English
Publisher :
ieee
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1992. ICASSP-92., 1992 IEEE International Conference on
Conference_Location :
San Francisco, CA
ISSN :
1520-6149
Print_ISBN :
0-7803-0532-9
Type :
conf
DOI :
10.1109/ICASSP.1992.226344
Filename :
226344
Link To Document :
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