Title :
The autocorrelation of m-sequences over nonprime finite fields
fDate :
7/1/1988 12:00:00 AM
Abstract :
Nonbinary m-sequences (maximal length sequences) for spread-spectrum communication systems that have a two-level autocorrelation are presented. The autocorrelation function of an m -sequence over the Galois field of q elements GF(q), where q=pk, for p a prime and k an integer greater than 1, is developed and shown to be bilevel when the elements of GF(q) are expressed as elements of a vector space over the pth roots of unity
Keywords :
correlation methods; information theory; spread spectrum communication; Galois field; autocorrelation of m-sequences; communication theory; maximal length sequences; nonprime finite fields; spread-spectrum communication systems; two-level autocorrelation; Artificial intelligence; Autocorrelation; Communication systems; Dispersion; Filters; Frequency; Galois fields; Government; Polynomials; Spread spectrum radar;
Journal_Title :
Aerospace and Electronic Systems, IEEE Transactions on
