# Energy-efficiency resource allocation of very large multi-user MIMO systems

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## Abstract

With increasing demand in multimedia applications and high data rate services, energy consumption of wireless devices has become a problem. At the user equipment side, high-level energy consumption brings much inconvenience, especially for mobile terminals that cannot connect an external charger, due to an exponentially increasing gap between the available and required battery capacity. Motivated by this, in this paper we consider uplink energy-efficient resource allocation in very large multi-user MIMO systems. Specifically, both the number of antenna arrays at BS and the transmit data rate at the user are adjusted to maximize the energy efficiency, in which the power consumption accounts for both transmit power and circuit power. We proposed two algorithms. Algorithm1, we demonstrate the existence of a unique globally optimal data rate and the number of antenna arrays by exploiting the properties of objective function, then we develop an iterative algorithm to obtain this optimal solution. Algorithm2, we transform the considered nonconvex optimization problem into a convex optimization problem by exploiting the properties of fractional programming, then we develop an efficient iterative resource allocation algorithm to obtain this optimal solution. Our simulation results did not only show that the the proposed two algorithms converge to the solution within a small number of iterations, but demonstrated also the performances of the proposed two algorithms are close to the optimum. Meanwhile, it also shows that with a given number iterations the performance of proposed algorithm1 is superior to proposed algorithm2 under small *p* _{ C }. On the contrary, the performance of proposed algorithm2 is superior to proposed algorithm1 under large *p* _{ C }.

## Keywords

Energy efficiency Multi-user MIMO## Notes

### Acknowledgments

This work was supported by National Science and Technology Major Project of China under Grant 2013ZX03003006-002, National Natural Science Foundation of China under Grants 61271018, 61201176 and 61372101, Research Project of Jiangsu Province under Grants BK20130019, BK2011597, and BE2012167, Program for New Century Excellent Talents in University under Grant NCET-11-0088.

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