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Article: A versatile iterative framework for the reconstruction of bandlimited signals from their nonuniform samples

TitleA versatile iterative framework for the reconstruction of bandlimited signals from their nonuniform samples
Authors
KeywordsFarrow structure
Iterative method
Nonuniform sampling
Signal reconstruction
Variable fractional delay digital filters
Issue Date2011
PublisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/content/120889/
Citation
Journal Of Signal Processing Systems, 2011, v. 62 n. 3, p. 459-468 How to Cite?
AbstractIn this paper, we study a versatile iterative framework for the reconstruction of uniform samples from nonuniform samples of bandlimited signals. Assuming the input signal is slightly oversampled, we first show that its uniform and nonuniform samples in the frequency band of interest can be expressed as a system of linear equations using fractional delay digital filters. Then we develop an iterative framework, which enables the development and convergence analysis of efficient iterative reconstruction algorithms. In particular, we study the Richardson iteration in detail to illustrate how the reconstruction problem can be solved iteratively, and show that the iterative method can be efficiently implemented using Farrow-based variable digital filters with few general-purpose multipliers. Under the proposed framework, we also present a completed and systematic convergence analysis to determine the convergence conditions. Simulation results show that the iterative method converges more rapidly and closer to the true solution (i.e. the uniform samples) than conventional iterative methods using truncation of sinc series. © 2010 The Author(s).
Persistent Identifierhttp://hdl.handle.net/10722/145039
ISSN
2015 Impact Factor: 0.508
2015 SCImago Journal Rankings: 0.262
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTsui, KMen_HK
dc.contributor.authorChan, SCen_HK
dc.date.accessioned2012-02-21T05:43:06Z-
dc.date.available2012-02-21T05:43:06Z-
dc.date.issued2011en_HK
dc.identifier.citationJournal Of Signal Processing Systems, 2011, v. 62 n. 3, p. 459-468en_HK
dc.identifier.issn1939-8018en_HK
dc.identifier.urihttp://hdl.handle.net/10722/145039-
dc.description.abstractIn this paper, we study a versatile iterative framework for the reconstruction of uniform samples from nonuniform samples of bandlimited signals. Assuming the input signal is slightly oversampled, we first show that its uniform and nonuniform samples in the frequency band of interest can be expressed as a system of linear equations using fractional delay digital filters. Then we develop an iterative framework, which enables the development and convergence analysis of efficient iterative reconstruction algorithms. In particular, we study the Richardson iteration in detail to illustrate how the reconstruction problem can be solved iteratively, and show that the iterative method can be efficiently implemented using Farrow-based variable digital filters with few general-purpose multipliers. Under the proposed framework, we also present a completed and systematic convergence analysis to determine the convergence conditions. Simulation results show that the iterative method converges more rapidly and closer to the true solution (i.e. the uniform samples) than conventional iterative methods using truncation of sinc series. © 2010 The Author(s).en_HK
dc.languageengen_US
dc.publisherSpringer New York LLC. The Journal's web site is located at http://springerlink.metapress.com/content/120889/en_HK
dc.relation.ispartofJournal of Signal Processing Systemsen_HK
dc.rightsThe Author(s)en_US
dc.rightsCreative Commons: Attribution 3.0 Hong Kong Licenseen_US
dc.subjectFarrow structureen_HK
dc.subjectIterative methoden_HK
dc.subjectNonuniform samplingen_HK
dc.subjectSignal reconstructionen_HK
dc.subjectVariable fractional delay digital filtersen_HK
dc.titleA versatile iterative framework for the reconstruction of bandlimited signals from their nonuniform samplesen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4551/resserv?sid=springerlink&genre=article&atitle=A Versatile Iterative Framework for the Reconstruction of Bandlimited Signals from Their Nonuniform Samples&title=Journal of Signal Processing Systems&issn=19398018&date=2011-03-01&volume=62&issue=3& spage=459&authors=K. M. Tsui, S. C. Chanen_US
dc.identifier.emailTsui, KM:kmtsui@eee.hku.hken_HK
dc.identifier.emailChan, SC:scchan@eee.hku.hken_HK
dc.identifier.authorityTsui, KM=rp00181en_HK
dc.identifier.authorityChan, SC=rp00094en_HK
dc.description.naturepublished_or_final_versionen_US
dc.identifier.doi10.1007/s11265-010-0481-xen_HK
dc.identifier.scopuseid_2-s2.0-79954598729en_HK
dc.identifier.hkuros211942-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79954598729&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume62en_HK
dc.identifier.issue3en_HK
dc.identifier.spage459en_HK
dc.identifier.epage468en_HK
dc.identifier.eissn1939-8115en_US
dc.identifier.isiWOS:000288023400015-
dc.publisher.placeUnited Statesen_HK
dc.description.otherSpringer Open Choice, 21 Feb 2012en_US
dc.identifier.scopusauthoridTsui, KM=7101671591en_HK
dc.identifier.scopusauthoridChan, SC=13310287100en_HK
dc.identifier.citeulike7047292-

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