Skip navigation
Skip navigation

Design of delta-sigma modulators via generalized Kalman-Yakubovich-Popov lemma

Li, Xianwei; Yu, Changbin (Brad); Gao, Huijun

Description

This paper is concerned with the design of delta-sigma modulators via the generalized Kalman-Yakubovich-Popov lemma. The shaped noise transfer function (NTF) is assumed to have infinite impulse response, and the optimization objective is minimizing the maximum magnitude of the NTF over the signal frequency band. By virtue of the GKYP lemma, the optimization of an NTF is converted into a minimization problem subject to quadratic matrix inequalities, and then an iterative algorithm is proposed to...[Show more]

dc.contributor.authorLi, Xianwei
dc.contributor.authorYu, Changbin (Brad)
dc.contributor.authorGao, Huijun
dc.date.accessioned2015-12-13T22:32:58Z
dc.identifier.issn0005-1098
dc.identifier.urihttp://hdl.handle.net/1885/75815
dc.description.abstractThis paper is concerned with the design of delta-sigma modulators via the generalized Kalman-Yakubovich-Popov lemma. The shaped noise transfer function (NTF) is assumed to have infinite impulse response, and the optimization objective is minimizing the maximum magnitude of the NTF over the signal frequency band. By virtue of the GKYP lemma, the optimization of an NTF is converted into a minimization problem subject to quadratic matrix inequalities, and then an iterative algorithm is proposed to solve this alternative minimization problem. Each iteration of the algorithm contains linear matrix inequality constraints only and can be effectively solved by the existing numerical software packages. Moreover, specifications on the NTF zeros are also integrated in the design method. A design example demonstrates that the proposed design method has an advantage over the benchmark one in improving the signal-to-noise ratio.
dc.publisherPergamon-Elsevier Ltd
dc.sourceAutomatica
dc.titleDesign of delta-sigma modulators via generalized Kalman-Yakubovich-Popov lemma
dc.typeJournal article
local.description.notesImported from ARIES
local.identifier.citationvolume50
dc.date.issued2014
local.identifier.absfor010000 - MATHEMATICAL SCIENCES
local.identifier.ariespublicationU3488905xPUB4805
local.type.statusPublished Version
local.contributor.affiliationLi, Xianwei, Harbin Institute of Technology
local.contributor.affiliationYu, Changbin (Brad), College of Engineering and Computer Science, ANU
local.contributor.affiliationGao, Huijun, Harbin Institute of Technology
local.description.embargo2037-12-31
local.bibliographicCitation.issue10
local.bibliographicCitation.startpage2700
local.bibliographicCitation.lastpage2708
local.identifier.doi10.1016/j.automatica.2014.09.002
dc.date.updated2015-12-11T09:12:46Z
local.identifier.scopusID2-s2.0-84908208598
local.identifier.thomsonID000344207300031
CollectionsANU Research Publications

Download

File Description SizeFormat Image
01_Li_Design_of_delta-sigma_2014.pdf877.12 kBAdobe PDF    Request a copy


Items in Open Research are protected by copyright, with all rights reserved, unless otherwise indicated.

Updated:  19 May 2020/ Responsible Officer:  University Librarian/ Page Contact:  Library Systems & Web Coordinator