English

Spread-Spectrum Based on Finite Field Fourier Transforms

Information Theory 2020-06-01 v1 math.IT Number Theory

Abstract

Spread-spectrum systems are presented, which are based on Finite Field Fourier Transforms. Orthogonal spreading sequences defined over a finite field are derived. New digital multiplex schemes based on such spread-spectrum systems are also introduced, which are multilevel Coding Division Multiplex. These schemes termed Galois-field Division Multiplex (GDM) offer compact bandwidth requirements because only leaders of cyclotomic cosets are needed to be transmitted.

Cite

@article{arxiv.1503.08109,
  title  = {Spread-Spectrum Based on Finite Field Fourier Transforms},
  author = {H. M. de Oliveira and J. P. C. L. Miranda and R. M. Campello de Souza},
  journal= {arXiv preprint arXiv:1503.08109},
  year   = {2020}
}

Comments

6 pages, 7 figures. Int. Conf. on System Engineering, Comm. and. Info. Technol., Punta Arenas, Chile, 2001

R2 v1 2026-06-22T09:03:52.506Z