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

Abstract

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)

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1978
Accession Number
ADA074604

Entities

People

  • W. O. Alltop

Organizations

  • Naval Air Weapons Station China Lake

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Autocorrelation
  • Carrier Frequencies
  • Computers
  • Cross Correlation
  • Digital Computers
  • Frequency
  • Intervals
  • Military Research
  • Number Theory
  • Numbers
  • Polynomials
  • Prime Numbers
  • Shift Registers
  • Spectra
  • Spectral Lines
  • Spread Spectrum
  • Square Roots

Readers

  • Computer Programming and Software Development.
  • Optical Physics and Photonics.