Novel Lower Bound on the Performance of a Partial Zero Forcing Receiver in a Mimo Cellular Network

Abstract

We derive and study a novel lower bound on the performance of a partial zero forcing (PZF) receiver in the uplink of a cellular network, where the mobile locations are modeled as a homogeneous Poisson Point Process (HPPP). The PZF is a suboptimal receiver. Yet, it is easy to analyze and in many cases is close to optimal. Furthermore, the analysis of the PZF gives more insight on the behavior of the network than the optimal MMSE receiver (for example, we study the optimal distance within which interference should be suppressed). Unlike the existing analysis for the optimal MMSE receiver, our novel bound holds also in the presence of thermal noise and for finite number of antennas. This bound is easy to evaluate and proved to be asymptotically tight. Comparing to the asymptotic result for MMSE, we also give the exact SINR loss of PZF compared to MMSE.