Title :
A new class of nonlinear PN sequences over GF(qn)
Author_Institution :
Commun. Sci. Inst., Univ. of Southern California, Los Angeles, CA, USA
fDate :
5/1/1997 12:00:00 AM
Abstract :
A new class of pseudo-random sequences (called cascaded GMW-type permutation polynomial (CGPP) sequences) over GP(qn) is constructed using a system of n orthogonal cascaded GMW functions in GF(q). Their statistical properties are given. Classification, evaluation, and implementation of the CGPP sequences are derived. A sequence generated by mapping elements of a CGPP sequence into GF(q) is also presented
Keywords :
Galois fields; polynomials; pseudonoise codes; sequences; CGPP sequences; Galois field; cascaded GMW-type permutation polynomial; nonlinear PN sequences; orthogonal cascaded GMW functions; pseudorandom sequences; statistical properties; Autocorrelation; Frequency modulation; Information theory; Minimax techniques; Notice of Violation; Pulse compression methods; Signal processing; Spread spectrum radar; System identification; Upper bound;
Journal_Title :
Information Theory, IEEE Transactions on
