DocumentCode
1355894
Title
Arithmetic crosscorrelations of feedback with carry shift register sequences
Author
Goresky, Mark ; Klapper, Andrew
Author_Institution
Dept. of Math., Northeastern Univ., Boston, MA, USA
Volume
43
Issue
4
fYear
1997
fDate
7/1/1997 12:00:00 AM
Firstpage
1342
Lastpage
1345
Abstract
An arithmetic version of the crosscorrelation of two sequences is defined, generalizing Mandelbaum´s (1967) arithmetic autocorrelations. Large families of sequences are constructed with ideal (vanishing) arithmetic crosscorrelations. These sequences are decimations of the 2-adic expansions of rational numbers p/q such that 2 is a primitive root module q
Keywords
binary sequences; correlation methods; digital arithmetic; feedback; arithmetic crosscorrelations; carry shift register sequences; decimations; feedback; primitive root module; pseudorandom binary sequences; rational numbers; Arithmetic; Associate members; Autocorrelation; Binary sequences; Clocks; Computer science; Feedback; Mathematics; Shift registers; Synchronization;
fLanguage
English
Journal_Title
Information Theory, IEEE Transactions on
Publisher
ieee
ISSN
0018-9448
Type
jour
DOI
10.1109/18.605605
Filename
605605
Link To Document