Synthesis of Spread Spectrum Signals from the Non-Binary Galois Fields

摘要

Maximal linearly recurring sequences over GF(p) are used to construct periodic, polyphase, spread spectrum signals, for p any odd prime. Sequences over GF(q), where q is a power of p, are also employed in the synthesis of pairs and triples of orthogonal signals. The orthogonal signals are ternary, utilizing the two phases 0 and pi as well as intervals of shutdown. Spectral properties of the ternary codes are discussed. The difficulties of high-speed generation of linear sequences for odd primes are also presented. Although the linear sequences over GF(p) have been known for at least four decades, they have not yet been as well exploited in signal design as have binary sequences. (Author)