System Performance Analysis of Interference Alignment with Limited Feedback in Poisson Field

System performance analysis of interference alignment (IA) with limited feedback is studied in this paper. Unlike prior studies which assumed the base station to be deployed at fixed location, this paper assumes the base station to be deployed at a random location in Poisson field. Firstly, The base stations are distributed as a spatial homogeneous Poisson point process in poisson field. Then, random vector quantization (RVQ) codebook is used to quantize the channel state information (CSI), and precoding vector and received vector are designed by interference alignment technology. Some statistical characteristics of CSI quantization are obtained, and using tools from stochastic geometry, Laplace transform of interference variables is calculated. At last, the approximate analytical expressions of outage probability and network throughput are derived, and optimal base station deploying intensity is calculated. Numerical results show that the expressions can provide sufficient precision for evaluating the systems performance of IA with limited feedback.