DocumentCode
941304
Title
A simple derivation of Lloyd´s classical result for the optimum scalar quantizer (Corresp.)
Author
Judell, Neil ; Scharf, Louis
Volume
32
Issue
2
fYear
1986
fDate
3/1/1986 12:00:00 AM
Firstpage
326
Lastpage
328
Abstract
The classical result of Lloyd for the optimum scalar quantizer in the asymptotic case of fine quantization is derived from first principles. The derivation is offered as a simple alternative to Lloyd´s original and elegant piece of analysis, and the result is used to derive the optimum compander. We then show why a compander that presents uniformly distributed random variables to the quantizer is not a good idea.
Keywords
Quantization; Information theory; Notice of Violation; Optical detectors; Optical fiber communication; Phase detection; Propulsion; Quantization; Random variables; Steady-state;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1986.1057150
Filename
1057150
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