DocumentCode :
934606
Title :
Multidimensional asymptotic quantization theory with 
th power distortion measures
th power distortion measuresAuthor :
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 :
