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Article: Coefficient sensitivity and structure optimization of multidimensional state-space digital filters
Title | Coefficient sensitivity and structure optimization of multidimensional state-space digital filters |
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Authors | |
Keywords | Coefficient Sensitivity Multidimensional Digital Systems Roundoff Noise Structure Optimization |
Issue Date | 1998 |
Citation | Ieee Transactions On Circuits And Systems I: Fundamental Theory And Applications, 1998, v. 45 n. 9, p. 993-998 How to Cite? |
Abstract | In 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 Identifier | http://hdl.handle.net/10722/169661 |
ISSN | |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Xiao, C | en_US |
dc.contributor.author | Agathoklis, P | en_US |
dc.contributor.author | Hill, DJ | en_US |
dc.date.accessioned | 2012-10-25T04:54:03Z | - |
dc.date.available | 2012-10-25T04:54:03Z | - |
dc.date.issued | 1998 | en_US |
dc.identifier.citation | Ieee Transactions On Circuits And Systems I: Fundamental Theory And Applications, 1998, v. 45 n. 9, p. 993-998 | en_US |
dc.identifier.issn | 1057-7122 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/169661 | - |
dc.description.abstract | In 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.language | eng | en_US |
dc.relation.ispartof | IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications | en_US |
dc.subject | Coefficient Sensitivity | en_US |
dc.subject | Multidimensional Digital Systems | en_US |
dc.subject | Roundoff Noise | en_US |
dc.subject | Structure Optimization | en_US |
dc.title | Coefficient sensitivity and structure optimization of multidimensional state-space digital filters | en_US |
dc.type | Article | en_US |
dc.identifier.email | Hill, DJ: | en_US |
dc.identifier.authority | Hill, DJ=rp01669 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1109/81.721267 | en_US |
dc.identifier.scopus | eid_2-s2.0-0032155803 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0032155803&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 45 | en_US |
dc.identifier.issue | 9 | en_US |
dc.identifier.spage | 993 | en_US |
dc.identifier.epage | 998 | en_US |
dc.identifier.isi | WOS:000076321900016 | - |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Xiao, C=7202240414 | en_US |
dc.identifier.scopusauthorid | Agathoklis, P=7005622057 | en_US |
dc.identifier.scopusauthorid | Hill, DJ=35398599500 | en_US |
dc.identifier.issnl | 1057-7122 | - |