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Conference Paper: Asymptotic white noise hypothesis for PCM quantization

TitleAsymptotic white noise hypothesis for PCM quantization
Authors
Borodachov, SergiyWang, Yang
KeywordsFrame
Independence over the rationals
Pulse code modulation scheme
Vector quantization
White noise hypothesis
Issue Date2008
Citation
Ciss 2008 the 42nd Annual Conference on Information Sciences and Systems, 2008, p. 733-736 How to Cite?
DOI: http://dx.doi.org/10.1109/CISS.2008.4558618
AbstractFor a signal distributed in Rd with an arbitrary density we find the limit distribution as the cell size goes to zero of the quantization noise in the case of a redundant system and the pulse-code modulation scheme. The dimension the support of the limiting distribution equals the largest number of noncomeasurable vectors in the frame and the limit distribution is uniform over its support. This gives the necessary and sufficient conditions for the asymptotic form of the White Noise Hypothesis. © 2008 IEEE.
Persistent Identifierhttp://hdl.handle.net/10722/363109

 

DC FieldValueLanguage
dc.contributor.authorBorodachov, Sergiy-
dc.contributor.authorWang, Yang-
dc.date.accessioned2025-10-10T07:44:38Z-
dc.date.available2025-10-10T07:44:38Z-
dc.date.issued2008-
dc.identifier.citationCiss 2008 the 42nd Annual Conference on Information Sciences and Systems, 2008, p. 733-736-
dc.identifier.urihttp://hdl.handle.net/10722/363109-
dc.description.abstractFor a signal distributed in R<sup>d</sup> with an arbitrary density we find the limit distribution as the cell size goes to zero of the quantization noise in the case of a redundant system and the pulse-code modulation scheme. The dimension the support of the limiting distribution equals the largest number of noncomeasurable vectors in the frame and the limit distribution is uniform over its support. This gives the necessary and sufficient conditions for the asymptotic form of the White Noise Hypothesis. © 2008 IEEE.-
dc.languageeng-
dc.relation.ispartofCiss 2008 the 42nd Annual Conference on Information Sciences and Systems-
dc.subjectFrame-
dc.subjectIndependence over the rationals-
dc.subjectPulse code modulation scheme-
dc.subjectVector quantization-
dc.subjectWhite noise hypothesis-
dc.titleAsymptotic white noise hypothesis for PCM quantization-
dc.typeConference_Paper-
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1109/CISS.2008.4558618-
dc.identifier.scopuseid_2-s2.0-51849123004-
dc.identifier.spage733-
dc.identifier.epage736-

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