Statistical properties of first-order bang-bang Pll with nonzero loop delay

dc.contributor.authorChun, Byungjin
dc.contributor.authorKennedy, Michael Peter
dc.contributor.funderEnterprise Irelanden
dc.date.accessioned2010-03-29T11:46:59Z
dc.date.available2010-03-29T11:46:59Z
dc.date.issued2008-01
dc.date.updated2010-03-26T16:07:52Z
dc.description.abstractA method to solve the stationary state probability is presented for the first-order bang-bang phase-locked loop (BBPLL) with nonzero loop delay. This is based on a delayed Markov chain model and a state How diagram for tracing the state history due to the loop delay. As a result, an eigenequation is obtained, and its closed form solutions are derived for some cases. After obtaining the state probability, statistical characteristics such as mean gain of the binary phase detector and timing error variance are calculated and demonstrated.en
dc.description.statusPeer revieweden
dc.description.versionPublished version
dc.format.mimetypeapplication/pdfen
dc.identifier.citationChun, B, Kennedy, MP (2008) 'Statistical Properties of First-Order Bang-Bang Pll With Nonzero Loop Delay'. IEEE Transactions On Circuits and Systems II - Express Briefs, 55 (10):1016-1020.en
dc.identifier.doi10.1109/TCSII.2008.924371
dc.identifier.endpage1020en
dc.identifier.issn1549-7747
dc.identifier.issued10en
dc.identifier.journaltitleIEEE Transactions On Circuits and Systems II - Express Briefsen
dc.identifier.startpage1016en
dc.identifier.urihttps://hdl.handle.net/10468/133
dc.identifier.volume55en
dc.language.isoenen
dc.publisherIEEEen
dc.rights©2008 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
dc.subjectBang-bang phase-locked loopen
dc.subjectDelayed Markov chainen
dc.subjectNonzero loop delayen
dc.subject.lcshMarkov processesen
dc.subject.lcshPhase-locked loopsen
dc.titleStatistical properties of first-order bang-bang Pll with nonzero loop delayen
dc.typeArticle (peer-reviewed)en
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