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Article: Coefficient sensitivity and structure optimization of multidimensional state-space digital filters

TitleCoefficient sensitivity and structure optimization of multidimensional state-space digital filters
Authors
KeywordsCoefficient Sensitivity
Multidimensional Digital Systems
Roundoff Noise
Structure Optimization
Issue Date1998
Citation
Ieee Transactions On Circuits And Systems I: Fundamental Theory And Applications, 1998, v. 45 n. 9, p. 993-998 How to Cite?
AbstractIn this brief, a new coefficient sensitivity measure for multidimensional (n-D) digital systems in state-space representation is proposed. This is motivated by the fact that coefficients equal to 0 or ±1 can be implemented exactly using finite wordlength, and thus have no contribution to coefficient quantization errors. The relationship between commonly used sensitivity measures for 2-D and n-D systems and the new one proposed in this brief is discussed. It is shown that in evaluating the accuracy between a finite wordlength implementation of a transfer function and the ideal one, the proposed sensitivity measure is more useful than the commonly used ones. Furthermore, the proposed measure confirms that realizations with Schur and/or Hessenberg structures can be used to obtain more accurate finite wordlength implementations of transfer functions than the ones obtained using fully parametrized minimum sensitivity structures. © 1998 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/169661
ISSN
2006 Impact Factor: 1.139
2006 SCImago Journal Rankings: 1.111
References

 

DC FieldValueLanguage
dc.contributor.authorXiao, Cen_US
dc.contributor.authorAgathoklis, Pen_US
dc.contributor.authorHill, DJen_US
dc.date.accessioned2012-10-25T04:54:03Z-
dc.date.available2012-10-25T04:54:03Z-
dc.date.issued1998en_US
dc.identifier.citationIeee Transactions On Circuits And Systems I: Fundamental Theory And Applications, 1998, v. 45 n. 9, p. 993-998en_US
dc.identifier.issn1057-7122en_US
dc.identifier.urihttp://hdl.handle.net/10722/169661-
dc.description.abstractIn this brief, a new coefficient sensitivity measure for multidimensional (n-D) digital systems in state-space representation is proposed. This is motivated by the fact that coefficients equal to 0 or ±1 can be implemented exactly using finite wordlength, and thus have no contribution to coefficient quantization errors. The relationship between commonly used sensitivity measures for 2-D and n-D systems and the new one proposed in this brief is discussed. It is shown that in evaluating the accuracy between a finite wordlength implementation of a transfer function and the ideal one, the proposed sensitivity measure is more useful than the commonly used ones. Furthermore, the proposed measure confirms that realizations with Schur and/or Hessenberg structures can be used to obtain more accurate finite wordlength implementations of transfer functions than the ones obtained using fully parametrized minimum sensitivity structures. © 1998 IEEE.en_US
dc.languageengen_US
dc.relation.ispartofIEEE Transactions on Circuits and Systems I: Fundamental Theory and Applicationsen_US
dc.subjectCoefficient Sensitivityen_US
dc.subjectMultidimensional Digital Systemsen_US
dc.subjectRoundoff Noiseen_US
dc.subjectStructure Optimizationen_US
dc.titleCoefficient sensitivity and structure optimization of multidimensional state-space digital filtersen_US
dc.typeArticleen_US
dc.identifier.emailHill, DJ:en_US
dc.identifier.authorityHill, DJ=rp01669en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1109/81.721267en_US
dc.identifier.scopuseid_2-s2.0-0032155803en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0032155803&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume45en_US
dc.identifier.issue9en_US
dc.identifier.spage993en_US
dc.identifier.epage998en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridXiao, C=7202240414en_US
dc.identifier.scopusauthoridAgathoklis, P=7005622057en_US
dc.identifier.scopusauthoridHill, DJ=35398599500en_US

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