The Synthesis Methodology of Periodic Discretely Coded Sequences Formed Basing on Cyclotomic Classes with Basic Parameters Constraints

Abstract

A new methodology for synthesis of sequences using a generalized coding rule over cyclotomic classes. This methodology represents a complex usage of the theory of residue classes difference spectrum by prime module and of the cyclotomic numbers. Moreover, the synthesis is performed regarding the generalized coding rule of both binary and ternary sequences with the defined constraints on the set of basic parameters: the level of the autocorrelation and cross-correlation function sidelobes, period, peak factor, imbalance.