Study on Correlation Properties of Complementary Codes and the Design Constraints of Complementary Coded CDMA Systems

Abstract

Complementary codes (CCs) are a kind of two-dimensional spreading codes with ideal correlation properties to resolve the interference-limited problem of traditional CDMA systems. This paper proves the ideal correlation properties of CCs with non-integral chip delay under the definition of aperiodic correlation functions. The comparisons of CCs with traditional spreading codes on auto- and cross-correlation properties under different definitions of correlation functions will also present to verify the correctness of the proof work and to show that a CC-CDMA system is able to achieve MPI- and MAI-free communication owning to the proved ideal aperiodic correlation properties.