DocumentCode :
904916
Title :
Several classes of codes generated from orthogonal functions
Author :
Hsieh, P. ; Hsiao, M.Y.
Volume :
10
Issue :
1
fYear :
1964
fDate :
1/1/1964 12:00:00 AM
Firstpage :
88
Lastpage :
91
Abstract :
A method of designing codes from orthogonal functions utilizing the existing knowledge of discrete error-correcting binary codes is given. The method consists in constructing the transformation matrix, ![[a_{ij}]](/images/tex/5965.gif)
, that performs the linear transformation by taking the finite set of orthogonal functions into the set of continuous code words. Several classes of code words are found whose transformation matrices use symbols 
, and 
, and each row of which contains equal number of nonzero elements. They are better than the randomly found existing codes in the sense that with the same number of orthogonal functions and distance criterion, more code words can be obtained.
, that performs the linear transformation by taking the finite set of orthogonal functions into the set of continuous code words. Several classes of code words are found whose transformation matrices use symbols , and , and each row of which contains equal number of nonzero elements. They are better than the randomly found existing codes in the sense that with the same number of orthogonal functions and distance criterion, more code words can be obtained.Keywords :
Error-correcting codes; Acoustic measurements; Autocorrelation; Binary codes; Books; Correlators; Delay lines; Information theory; NASA; Signal to noise ratio; Time measurement;
fLanguage :
English
Journal_Title :
Information Theory, IEEE Transactions on
Publisher :
ieee
ISSN :
0018-9448
Type :
jour
DOI :
10.1109/TIT.1964.1053635
Filename :
1053635
Link To Document :
