In this work, we investigate the so-called antenna domain formation problem, as the optimal assignment of users to antenna domains, in cloud radio access networks. We focus on theoretical aspects of the problem, namely, the finding of lower bounds, on the interference leakage in the network. We formulate the antenna domain formation problem as an integer optimization problem, and propose an iterative algorithm for obtaining a solution. Motivated by the lack of optimality guarantees on such solutions, we opt to find lower bounds on the problem, and the resulting interference leakage in the network. We thus derive the corresponding Dantzig-Wolfe decomposition, formulate the dual problem, and show that the former offers a tighter bound than the latter. We highlight the fact that the bounds in question consist of linear problems with an exponential number of variables, and adapt known methods aimed at solving them. In addition to shedding light on the tightness of the bounds in question, our numerical results show sum-rate gains of at least 200% (over a simple benchmark), in the medium SNR region.
['Hadi G. Ghauch', 'Muhammad Mahboob Ur Rahman', 'Sahar Imtiaz', 'James Gross', 'Mikael Skoglund', 'Christer Qvarfordt']
Performance Bounds for Antenna Domain Systems