The density penalty for random deployments in uplink CoMP networks

We consider a coordinated multi-point (CoMP) uplink cellular network with a Poisson point process (PPP) model for the position of BSs. Our model assumes cooperation amongst two BSs and the required density is obtained under shadowing and Rayleigh fading for different LTE-A path loss models. We obtain accurate closed-form approximations for the worst-case rate coverage probability within the cooperation region. The approximations presented are useful for a rapid assessment of network performance and can be utilized in parametric studies for network design. Here, they are applied to obtain the required density of BSs to achieve a target rate coverage probability. As an added benefit, the formulation here quantifies the penalty in moving from a regular BS deployment (the grid model) to a random BS deployment (the PPP model).