Ergodic Capacity Achieving Policies for Cell-free MIMO with Asymmetric Access Points

We consider a wireless communication model where data intended to a user equipment is cooperatively transmitted by multiple distributed access points (APs). The APs are equipped with mul-tiple antennas, however they differ in the number of antennas, channel conditions and average power availability. Evaluating the ergodic capacity of such a set up is the main problem addressed in this paper. This leads to a power control problem where the global objective of ergodic capacity is to be maximized under localized constraints on the APs. Assuming channel state information (CSI) availability at the terminals, the optimal power control law for the multiple input single output (MISO) model is presented here, along with further discussions on the possible relaxations of the full CSI assumption.