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Spread-Spectrum Based on Finite Field Fourier Transforms

Published 12 Feb 2015 in cs.IT, math.IT, and math.NT | (1503.08109v1)

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.

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