Wireless Personal Communications

, Volume 104, Issue 1, pp 441–458 | Cite as

Robust Energy-Efficient Downlink Resource Allocation in Heterogeneous Networks with Outage Probability Constraint

  • Yongjun Xu
  • Yuan HuEmail author


With the development of the fifth generation communication technology, improving energy efficiency (EE is defined as the ratio of the system throughput over the total power consumption) of wireless communication becomes a hot topic, which has attracted wide attention from industry and academia. Heterogeneous networks (HetNets) have been considered as a new promising technique for expanding network coverage and improving EE. Robust resource allocation is a huge challenge when uncertainty parameters are involved in this issue. The problem is more significant in HetNets since perfect channel state information is not available at femtocell base station’s transmitters. In this paper, we study the downlink resource allocation in HetNets under outage probability constraint, and formulate the EE maximization problem as a nonlinear fractional programming problem. In order to solve the fractional programming problem, firstly, we transform the original problem into an equivalent optimization problem in a parametric subtractive form. Then based on the exponential distribution model under Rayleigh fading environment, the probability constraint is transformed into a deterministic constraint. Finally, we propose a two-loop iteration algorithm to find the optimal solution by using Dinkelbachs method and Lagrangian dual decomposition method. Simulation results demonstrate the convergence and the effectiveness of the proposed algorithm.


Heterogeneous networks Resource allocation Energy efficiency Fractional programming Probability constraint 



This work is supported by the National Natural Science Foundation of China (61601071,61801062,61571070); The Natural Science Foundation Project of Chongqing (cstc2016jcyjA2197); Supported by the Science and Technology Research Program of Chongqing Municipal Education Commission (KJQN201800606); Key R&D Project of Industry and Common Technology Innovation of Chongqing (cstc2017zdcy-zdyfX0049).


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© Springer Science+Business Media, LLC, part of Springer Nature 2018

Authors and Affiliations

  1. 1.School of Communication and Information EngineeringChongqing University of Posts and TelecommunicationsChongqingChina
  2. 2.Research Center of Medical Electronics and Information Technology EngineeringChongqing university of Posts and TelecommunicationsChongqingChina

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