DocumentCode
912337
Title
A general formulation of error matrices (Corresp.)
Author
Golomb, S.
Volume
15
Issue
3
fYear
1969
fDate
5/1/1969 12:00:00 AM
Firstpage
425
Lastpage
426
Abstract
A general definition of error metrics is given, based on a distance function 
for symbols of the code alphabet, and extended to entire codewords by a Lebesgue norm 
. It is shown that error metrics considered by Hamming, Lee, Shannon, and Stein are special cases, and a geometric interpretation of the "error spheres" for these metrics is presented.
for symbols of the code alphabet, and extended to entire codewords by a Lebesgue norm . It is shown that error metrics considered by Hamming, Lee, Shannon, and Stein are special cases, and a geometric interpretation of the "error spheres" for these metrics is presented.Keywords
Error-correcting codes; Communication systems; Error correction codes; Humans; Pattern classification; Pattern recognition; Statistics;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/TIT.1969.1054308
Filename
1054308
Link To Document