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Conference Paper: State-trajectory behavior in high-order, lowpass sigma-delta modulators with distinct NTF zeros

TitleState-trajectory behavior in high-order, lowpass sigma-delta modulators with distinct NTF zeros
Authors
Issue Date2002
PublisherIEEE.
Citation
The 14th International Conference on Digital Signal Processing, Santorini, Greece, 1-3 July 2002. In Conference Proceedings, 2002, v. 2, p. 1053-1056 How to Cite?
AbstractThis paper presents a generic, scalable approach to obtain closed-form state-trajectory expressions for high-order (order > 2) lowpass sigma-delta (/spl Sigma//spl Delta/) modulators with distinct noise transfer function (NTF) zeros. Constant modulator input is assumed. The techniques of state-space diagonalization, continuous-time embedding, and Poincare map analysis are combined and extended. It is shown that an even-order modulator can be decomposed into individual second-order subsystems with circular trajectories about two half-plane centers, while an odd-order modulator will result in an additional first-order subsystem represented by an oscillating quantity. The trajectory and half-plane transition expressions thus obtained provide effective tools for stability analysis of /spl Sigma//spl Delta/ modulators.
Persistent Identifierhttp://hdl.handle.net/10722/46368

 

DC FieldValueLanguage
dc.contributor.authorWong, Nen_HK
dc.contributor.authorNg, TSen_HK
dc.date.accessioned2007-10-30T06:48:19Z-
dc.date.available2007-10-30T06:48:19Z-
dc.date.issued2002en_HK
dc.identifier.citationThe 14th International Conference on Digital Signal Processing, Santorini, Greece, 1-3 July 2002. In Conference Proceedings, 2002, v. 2, p. 1053-1056en_HK
dc.identifier.urihttp://hdl.handle.net/10722/46368-
dc.description.abstractThis paper presents a generic, scalable approach to obtain closed-form state-trajectory expressions for high-order (order > 2) lowpass sigma-delta (/spl Sigma//spl Delta/) modulators with distinct noise transfer function (NTF) zeros. Constant modulator input is assumed. The techniques of state-space diagonalization, continuous-time embedding, and Poincare map analysis are combined and extended. It is shown that an even-order modulator can be decomposed into individual second-order subsystems with circular trajectories about two half-plane centers, while an odd-order modulator will result in an additional first-order subsystem represented by an oscillating quantity. The trajectory and half-plane transition expressions thus obtained provide effective tools for stability analysis of /spl Sigma//spl Delta/ modulators.en_HK
dc.languageengen_HK
dc.publisherIEEE.en_HK
dc.relation.ispartofInternational Conference on Digital Signal Processing Proceedings-
dc.rights©2002 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.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.titleState-trajectory behavior in high-order, lowpass sigma-delta modulators with distinct NTF zerosen_HK
dc.typeConference_Paperen_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1109/ICDSP.2002.1028271en_HK
dc.identifier.hkuros81626-
dc.identifier.volume2-
dc.identifier.spage1053-
dc.identifier.epage1056-

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