Polar coordinate quantizers that minimize mean-squared error
dc.contributor.author | Scharf, Louis L., author | |
dc.contributor.author | Voran, Stephen D., author | |
dc.contributor.author | IEEE, publisher | |
dc.date.accessioned | 2007-01-03T04:18:51Z | |
dc.date.available | 2007-01-03T04:18:51Z | |
dc.date.issued | 1994 | |
dc.description.abstract | A 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.sponsorship | This 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.medium | born digital | |
dc.format.medium | articles | |
dc.identifier.bibliographicCitation | Voran, 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.uri | http://hdl.handle.net/10217/741 | |
dc.language | English | |
dc.language.iso | eng | |
dc.publisher | Colorado State University. Libraries | |
dc.relation.ispartof | Faculty Publications | |
dc.rights | ©1994 IEEE. | |
dc.rights | Copyright 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.subject | encoding | |
dc.subject | approximation theory | |
dc.subject | analogue-digital conversion | |
dc.title | Polar coordinate quantizers that minimize mean-squared error | |
dc.type | Text |
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