A general method for synthesis of families of orthogonal complementary codes

Abstract

Families of orthogonal complementary codes (FOCCs) are called families of sets of radio signals possessing both zero autocorrelation functions (ACFs) (except for the zero time shift) and zero cross-correlation functions (CCFs) among all pairs of the members of a family. They are viewed as promising tool for a radical enhancement of the data transmission rate of the future wireless communication systems, because they allow the users to communicate practically without multiple access interferences in a multipath environment. Due to this reason in the paper a general method for synthesis of FOCCs is proposed. It allows the parameters of the FOCCs to be independently managed and the most part of techniques for synthesis of FOCCs, known today, to be viewed in a common theoretical frame. © Springer Science+Business Media B.V. 2010.