Generation of perfect orthogonal complementary codes for their applications in interference-free CDMA systems

This paper introduces an algebraic approach to generate the super-set of perfect complementary (PC) codes suitable for interference-free CDMA applications. The code design methodology proposed herein takes into account major impairing factors in real applications, such as MAI, multipath effect, asynchronous uplink 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 will never be possible unless using proper 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. The so generated CDMA code sets can be applied to implement a new CDMA architecture offers a. performance limited only by noise.