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Polar coordinate quantizers that minimize mean-squared error

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dc.contributor.authorScharf, Louis L., author
dc.contributor.authorVoran, Stephen D., author
dc.contributor.authorIEEE, publisher
dc.date.accessioned2007-01-03T04:18:51Z
dc.date.available2007-01-03T04:18:51Z
dc.date.issued1994
dc.description.abstractA quantizer for complex data is defined by a partition of the complex plane and a representation point associated with each cell of the partition. A polar coordinate quantizer independently quantizes the magnitude and phase angle of complex data. We derive design equations for minimum mean-squared error polar coordinate quantizers and report some interesting theoretical results on their performance, including performance limits for "phase-only" representations. The results provide a concrete example of a biased estimator whose mean-squared error is smaller than that of any unbiased estimator. Quantizer design examples show the relative importance of magnitude and phase encoding.
dc.description.sponsorshipThis work was supported by the Office of Naval Research under contract No. N00014-89-J-1070 and by the NSF Center for Optoelectronic Computing Systems at the University of Colorado, under contract No. 8622236.
dc.format.mediumborn digital
dc.format.mediumarticles
dc.identifier.bibliographicCitationVoran, Stephen D. and Louis L. Scharf, Polar Coordinate Quantizers That Minimize Mean-Squared Error, IEEE Transactions on Signal Processing 42, no. 6 (June 1994): 1559-1563.
dc.identifier.urihttp://hdl.handle.net/10217/741
dc.languageEnglish
dc.language.isoeng
dc.publisherColorado State University. Libraries
dc.relation.ispartofFaculty Publications
dc.rights©1994 IEEE.
dc.rightsCopyright and other restrictions may apply. User is responsible for compliance with all applicable laws. For information about copyright law, please see https://libguides.colostate.edu/copyright.
dc.subjectencoding
dc.subjectapproximation theory
dc.subjectanalogue-digital conversion
dc.titlePolar coordinate quantizers that minimize mean-squared error
dc.typeText

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