An algorithm for synthesis of families of generalized orthogonal complementary pairs

Abstract

Families of generalized orthogonal complementary pairs (FGOCPs) are called families of pairs of radio signals, which autocorrelation functions (ACFs) and cross-correlation functions (CCFs) among every two pairs of a family have so-called zero correlation windows (ZCWs) in the area around the zero time shift. They allow the users to communicate practically without multiple access interferences in a multipath environment if the wireless communication systems works in a quasisynchronous mode. As a result the employment of the FGOCPs in the future wireless communication systems will significantly increase the data transmission rate. Due to this reason in the paper an algorithm for synthesis of FGOCPs is proposed. It distinguishes by the fact that it provides small level of the lobes of the CCFs without of the ZCW, which is a valuable feature. © Springer Science+Business Media B.V. 2010.