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
fDate :
7/1/1997 12:00:00 AM
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;
Journal_Title :
Information Theory, IEEE Transactions on
