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

Show simple item record Mo, Hongjia Kennedy, M. Peter 2021-08-23T10:38:47Z 2021-08-23T10:38:47Z 2016-05-12
dc.identifier.citation Mo, 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.2016.2567480 en
dc.identifier.volume 64 en
dc.identifier.issued 4 en
dc.identifier.startpage 372 en
dc.identifier.endpage 376 en
dc.identifier.issn 1549-7747
dc.identifier.doi 10.1109/TCSII.2016.2567480 en
dc.description.abstract A 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.sponsorship Enterprise Ireland (Grant CC-2009-05) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher Institute of Electrical and Electronics Engineers (IEEE) en
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.subject Delta-sigma modulation en
dc.subject Random number generation en
dc.subject Shift registers en
dc.subject DDSM en
dc.subject LFSR-dithered MASH en
dc.subject Break up periodic cycles en
dc.subject Digital delta-sigma modulators en
dc.subject Linear feedback shift registers en
dc.subject Multistage noise shaping en
dc.subject Pseudorandom dither generators en
dc.subject Pseudorandom dither signals en
dc.subject Additives en
dc.subject Circuits and systems en
dc.subject Generators en
dc.subject Modulation en
dc.subject Multi-stage noise shaping en
dc.subject Quantization (signal) en
dc.subject Delta-sigma modulation and noise shaping en
dc.title Influence of initial conditions on the fundamental periods of LFSR-dithered MASH digital delta-sigma modulators with constant inputs en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Michael Peter Kennedy, Electrical & Electronic Engineering , University College Cork, Cork, Ireland. +353-21-490-3000 Email: en
dc.internal.availability Full text available en 2021-08-23T10:29:20Z
dc.description.version Accepted Version en
dc.internal.rssid 446221192
dc.contributor.funder Science Foundation Ireland en
dc.contributor.funder Enterprise Ireland en
dc.description.status Peer reviewed en
dc.identifier.journaltitle IEEE Transactions on Circuits and Systems II: Express Briefs en
dc.internal.copyrightchecked Yes
dc.internal.licenseacceptance Yes en
dc.internal.IRISemailaddress en
dc.relation.project info:eu-repo/grantAgreement/SFI/SFI Investigator Programme/13/IA/1979/IE/Advanced Frequency Synthesis Informed by Nonlinear Dynamics/ en
dc.identifier.eissn 1558-3791

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