Abstract
The purpose of this paper is to analyze CDMA system correlation matrix with random matrix theorem. In both synchronous and asynchronous cases, we compare the CDMA systems of different eigenvalue moments, and difference between matrix sizes of infinite and non-infinite. We represent the performance of the system with the partition theorem. Furthermore, we analyse the characteristics of CDMA system matrix with graphical method. Compared to the results obtained from chapter 2. Thus, we increase a new method to analyze the performance, and it is simpler to be obtained. Partition theorem is used to show the difference in eigenvalues of symbol- synchronous correlation matrix of asymptotic and non-asympotic. Eigenvlaue moments represent the efficiency of the system and diagrams are presented to visualize the characteristics of the CDMA matrix. The characteristic analysis obtained is then compared with CDMA system characteristics of the random matrix. Thus, this shows that with the aid of partition theorem, a better method to analyze system is introduced.