DocumentCode
932095
Title
Some properties of uniform step size quantizers (Corresp.)
Author
Bucklew, James A. ; Gallagher, Neal C.
Volume
26
Issue
5
fYear
1980
fDate
9/1/1980 12:00:00 AM
Firstpage
610
Lastpage
613
Abstract
Some properties of the optimal mean-square error uniform quantizer are treated. It is shown that the mean-square error (mse) is given by the input variance minus the output variance. Furthermore 
, where 
is the number of output levels and 
(a function of 
) is the step size of the uniform quantizer, with equality when the support of the random variable is contained in a finite interval. A class of probability densities is given for which the above limit is greater than one. It is shown that 
mse 
, where 
is the measure of the smallest interval that contains the support of the input random variable.
, where is the number of output levels and (a function of ) is the step size of the uniform quantizer, with equality when the support of the random variable is contained in a finite interval. A class of probability densities is given for which the above limit is greater than one. It is shown that mse , where is the measure of the smallest interval that contains the support of the input random variable.Keywords
Quantization (signal); Signal quantization; Communication system control; Control systems; Entropy; Minimax techniques; Quantization; Random variables; Sufficient conditions;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1980.1056239
Filename
1056239
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