DocumentCode :
935592
Title :
On the existence of optimal quantizers (Corresp.)
Author :
Abaya, Efren F. ; Wise, Gary L.
Volume :
28
Issue :
6
fYear :
1982
fDate :
11/1/1982 12:00:00 AM
Firstpage :
937
Lastpage :
940
Abstract :
The existence of optimal 
-level quantizers is demonstrated for several classes of quantizers including block quantizers, memoryless quantizers, and uniform step-size quantizers. No assumptions whatsoever are made regarding the input probability distribution. The distortion measure considered generalizes many of the commonly used error-based distortion measures, including mean squared-error distortion and 
th law distortion.
-level quantizers is demonstrated for several classes of quantizers including block quantizers, memoryless quantizers, and uniform step-size quantizers. No assumptions whatsoever are made regarding the input probability distribution. The distortion measure considered generalizes many of the commonly used error-based distortion measures, including mean squared-error distortion and th law distortion.Keywords :
Quantization (signal); Signal quantization; Block codes; Data communication; Decoding; Delay; Distortion measurement; Electrons; Jacobian matrices; Magnetic modulators; Probability distribution; Signal processing algorithms;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1982.1056582
Filename :
1056582
Link To Document :
