Pricing-Based Distributed energy-efficient beamforming for MISO interference channels

In this paper, we consider the problem of maximizing the weighted sum energy efficiency (WSEE)

for multi-input single-output (MISO) interference channels (ICs). Various 5G networks, such as the

heterogeneous networks (HetNets), multicell networks, can be modeled as ICs. To solve this problem, we

develop a low-complexity distributed beamforming algorithm based on pricing mechanism. Specifically,

each user updates its price information and broadcasts it to all the other users. Having collected

all these prices, each user solves its beam-vector problem with low-complexity. We then provide

the sequential updating of the algorithm along with the proof for its convergence. We also provide

an implementation method of the proposed distributed algorithm with limited information exchange.

An alternative centralized algorithm based on the gradient projection method is also developed to

serve as a performance benchmark for the proposed distributed algorithm. Numerical results show

that our algorithm converges much faster than the existing algorithms, but yields similar performance

or better performance. Also, in some special scenarios, the proposed algorithm with limited information

exchange is even better than the full information exchange algorithm due to its reduced backhaul power

consumption.