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Article: DC stability analysis of high-order, lowpass ΣΔ modulators with distinct unit circle NTF zeros

TitleDC stability analysis of high-order, lowpass ΣΔ modulators with distinct unit circle NTF zeros
Authors
KeywordsΔΣ
ΣΔ
dc stability
Embedding
Nonlinear dynamical systems
Poincaré map
State space
Issue Date2003
PublisherIEEE.
Citation
Ieee Transactions On Circuits And Systems Ii: Analog And Digital Signal Processing, 2003, v. 50 n. 1, p. 12-30 How to Cite?
AbstractThis paper presents an analytical approach to the investigation of the dc stability of high-order (order > 2), low-pass (LP) ΣΔ modulators with distinct noise transfer function (NTF) zeros on the unit circle. The techniques of state-space diagonalization and decomposition, continuous-time embedding and Poincaré map analysis are combined and extended. It is revealed that high-order ΣΔ modulators can be transformed and decomposed into second- and first-order subsystems. The investigation, coupled with efficient numerical methods, generalizes itself to different types of transition flow and provides theoretical insight into the state trajectory and limit cycle behavior. It is shown that estimation of dc input bounds based solely on the boundary transition flow is inadequate. A procedure utilizing the information from different transition flow assumptions and the discrete nature of a modulator is introduced for locating the stable dc input bounds of practical, discrete-time ΣΔ modulators.
Persistent Identifierhttp://hdl.handle.net/10722/42955
ISSN
2006 Impact Factor: 0.922
2007 SCImago Journal Rankings: 1.092
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorWong, Nen_HK
dc.contributor.authorNg, TSen_HK
dc.date.accessioned2007-03-23T04:35:26Z-
dc.date.available2007-03-23T04:35:26Z-
dc.date.issued2003en_HK
dc.identifier.citationIeee Transactions On Circuits And Systems Ii: Analog And Digital Signal Processing, 2003, v. 50 n. 1, p. 12-30en_HK
dc.identifier.issn1057-7130en_HK
dc.identifier.urihttp://hdl.handle.net/10722/42955-
dc.description.abstractThis paper presents an analytical approach to the investigation of the dc stability of high-order (order > 2), low-pass (LP) ΣΔ modulators with distinct noise transfer function (NTF) zeros on the unit circle. The techniques of state-space diagonalization and decomposition, continuous-time embedding and Poincaré map analysis are combined and extended. It is revealed that high-order ΣΔ modulators can be transformed and decomposed into second- and first-order subsystems. The investigation, coupled with efficient numerical methods, generalizes itself to different types of transition flow and provides theoretical insight into the state trajectory and limit cycle behavior. It is shown that estimation of dc input bounds based solely on the boundary transition flow is inadequate. A procedure utilizing the information from different transition flow assumptions and the discrete nature of a modulator is introduced for locating the stable dc input bounds of practical, discrete-time ΣΔ modulators.en_HK
dc.format.extent2167311 bytes-
dc.format.extent8772 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofIEEE Transactions on Circuits and Systems II: Analog and Digital Signal Processingen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rights©2003 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.en_HK
dc.subjectΔΣen_HK
dc.subjectΣΔen_HK
dc.subjectdc stabilityen_HK
dc.subjectEmbeddingen_HK
dc.subjectNonlinear dynamical systemsen_HK
dc.subjectPoincaré mapen_HK
dc.subjectState spaceen_HK
dc.titleDC stability analysis of high-order, lowpass ΣΔ modulators with distinct unit circle NTF zerosen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1057-7130&volume=50&issue=1&spage=12&epage=30&date=2003&atitle=DC+stability+analysis+of+high-order,+lowpass+/spl+Sigma//spl+Delta/+modulators+with+distinct+unit+circle+NTF+zerosen_HK
dc.identifier.emailWong, N:nwong@eee.hku.hken_HK
dc.identifier.emailNg, TS:tsng@eee.hku.hken_HK
dc.identifier.authorityWong, N=rp00190en_HK
dc.identifier.authorityNg, TS=rp00159en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/TCSII.2003.808901en_HK
dc.identifier.scopuseid_2-s2.0-0037229703en_HK
dc.identifier.hkuros89953-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0037229703&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume50en_HK
dc.identifier.issue1en_HK
dc.identifier.spage12en_HK
dc.identifier.epage30en_HK
dc.identifier.isiWOS:000182454000002-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridWong, N=35235551600en_HK
dc.identifier.scopusauthoridNg, TS=7402229975en_HK

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