On the SINR distribution of codebook-based precoding in LTE in case of inter-cell interference

Interference is an important performance limiting factor in cell-based mobile communication scenarios. Especially entities located at cell edges significantly suffer from inter-cell interference caused by base stations serving users in neighboring cells. The standard of LTE considers a frequency reuse factor of one, which makes inter-cell interference coordination a widely discussed topic. However, most of these techniques lead to a reduction of inter-cell interference instead of a full suppression. Hence, inter-cell interference remains an unpredictable random effect that has to be classified statistically. Within this paper, we derive the probability density function of the inter-cell interference and the resulting SINR PDF, which is given as a non-linear transformation of the interference. Unitary matrix precoding as applied in LTE Rel. 8 is taken into regard. The results are verified by simulative investigations.