Frequency reuse analysis using multigraph theory

Abstract

Considering the inter-cell interference coordination in LTE system, many frequency reuse schemes are concluded in this proposal. On this basis, the theoretical basis of frequency reuse is described respectively from graph theory and algebraic analysis principle. In graph theory, the coloring theory in multi-graph and the level interference-limited theory are focused, resulting in an frequency reuse analysis from the optimization problem. In algebraic analysis principle, this proposal gives a quantitative analytic algebra to describe the relationship of frequency reuse factor (FRF) between cell center and cell edge. Then the frequency reuse optimization problem is transformed into two-dimensional coordinate system, which enables to consider taking analytic algebra method to solve it. Moreover, the simulation is taken into compare the system performance with different FRF schemes. The results show that it needs to take into account the size of FRF, both cell-edge and cell-center performance to choose the appropriate inner radius. © 2012 Springer Science+Business Media B.V.