Generation of superset of perfect complementary codes for next generation CDMA systems

This paper introduces an algebraic approach to generate super-set of perfect complementary (PC) codes suitable for interference-free CDMA applications. The approach takes into account major impairing factors in real applications, such as MAI, multipath interference, asynchronous up-link transmissions and random signs in consecutive symbols. Two important conclusions are drawn by the analysis given in this paper. First, implementation of an interference-free CDMA is never possible unless using some properly selected complementary code sets, such as the PC code sets proposed in this paper. Second, to enable interference-free CDMA operation, the flock size of the PC codes must be made equal to their set size. An implementation scheme of a CDMA system based on the PC codes is presented and its performance is compared with traditional CDMA systems by simulations, whose results show that the proposed new CDMA architecture offers a performance limited only by noise.