DocumentCode
934606
Title
Multidimensional asymptotic quantization theory with
th power distortion measures
Author
Bucklew, James A. ; Wise, Gary L.
Volume
28
Issue
2
fYear
1982
fDate
3/1/1982 12:00:00 AM
Firstpage
239
Lastpage
247
Abstract
Asymptotic properties of the
th power distortion measure associated with quantized
-dimensional random variables are considered. Subject only to a moment condition, it is shown that the infimum over all
level quantizers of the quantity
times the
th power average distortion converges to a finite constant as
.
th power distortion measure associated with quantized
-dimensional random variables are considered. Subject only to a moment condition, it is shown that the infimum over all
level quantizers of the quantity
times the
th power average distortion converges to a finite constant as
.Keywords
Multidimensional signal processing; Quantization (signal); Signal quantization; Algorithm design and analysis; Bibliographies; Distortion measurement; Distribution functions; Extraterrestrial measurements; Mathematics; Multidimensional systems; Power measurement; Quantization; Random variables;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1982.1056486
Filename
1056486
Link To Document