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 :
