Influence of initial conditions on the fundamental periods of LFSR-dithered MASH digital delta-sigma modulators with constant inputs

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dc.contributor.authorMo, Hongjia
dc.contributor.authorKennedy, M. Peter
dc.contributor.funderScience Foundation Irelanden
dc.contributor.funderEnterprise Irelanden
dc.date.accessioned2021-08-23T10:38:47Z
dc.date.available2021-08-23T10:38:47Z
dc.date.issued2016-05-12
dc.date.updated2021-08-23T10:29:20Z
dc.description.abstractA digital delta-sigma modulator (DDSM) with a constant input may produce a periodic output with a small fundamental period, resulting in strong tonal output behavior instead of the expected shaped white quantization noise. In practice, the problem is alleviated by dithering the DDSM. Pseudorandom dither generators based on linear feedback shift registers (LFSRs) are widely used to "break up" periodic cycles in DDSMs with constant inputs. Pseudorandom dither signals are themselves periodic and can lead to relatively short output sequences from dithered DDSMs. It is known that the fundamental period of the output signal depends not only on the input and the initial condition of the DDSM but also on the initial state of the LFSR. This brief shows that bad LFSR initial conditions can lead to ineffective dithering, producing short cycles and strong tonal behavior. Furthermore, it explains how to set the initial state of the DDSM as a function of the initial state of the LFSR in order to obtain a maximum-length dithered output.en
dc.description.sponsorshipEnterprise Ireland (Grant CC-2009-05)en
dc.description.statusPeer revieweden
dc.description.versionAccepted Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMo, H. and Kennedy, M. P. (2016) 'Influence of initial conditions on the fundamental periods of LFSR-dithered MASH digital delta-sigma modulators with constant inputs', IEEE Transactions on Circuits and Systems II: Express Briefs, 64(4), pp. 372-376. doi: 10.1109/TCSII.2016.2567480en
dc.identifier.doi10.1109/TCSII.2016.2567480en
dc.identifier.eissn1558-3791
dc.identifier.endpage376en
dc.identifier.issn1549-7747
dc.identifier.issued4en
dc.identifier.journaltitleIEEE Transactions on Circuits and Systems II: Express Briefsen
dc.identifier.startpage372en
dc.identifier.urihttps://hdl.handle.net/10468/11766
dc.identifier.volume64en
dc.language.isoenen
dc.publisherInstitute of Electrical and Electronics Engineers (IEEE)en
dc.relation.projectinfo:eu-repo/grantAgreement/SFI/SFI Investigator Programme/13/IA/1979/IE/Advanced Frequency Synthesis Informed by Nonlinear Dynamics/en
dc.relation.urihttps://ieeexplore.ieee.org/document/7469364/
dc.rights© 2016, IEEE. Personal use of this material is permitted. Permission from IEEE must be obtained for all other uses, in any current or future media, including reprinting/republishing this material for advertising or promotional purposes, creating new collective works, for resale or redistribution to servers or lists, or reuse of any copyrighted component of this work in other works.en
dc.subjectDelta-sigma modulationen
dc.subjectRandom number generationen
dc.subjectShift registersen
dc.subjectDDSMen
dc.subjectLFSR-dithered MASHen
dc.subjectBreak up periodic cyclesen
dc.subjectDigital delta-sigma modulatorsen
dc.subjectLinear feedback shift registersen
dc.subjectMultistage noise shapingen
dc.subjectPseudorandom dither generatorsen
dc.subjectPseudorandom dither signalsen
dc.subjectAdditivesen
dc.subjectCircuits and systemsen
dc.subjectGeneratorsen
dc.subjectModulationen
dc.subjectMulti-stage noise shapingen
dc.subjectQuantization (signal)en
dc.subjectDelta-sigma modulation and noise shapingen
dc.titleInfluence of initial conditions on the fundamental periods of LFSR-dithered MASH digital delta-sigma modulators with constant inputsen
dc.typeArticle (peer-reviewed)en
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