We investigate the weighted-sum distortion minimization problem in transmitting two correlated Gaussian sources over Gaussian channels using two energy harvesting nodes. To this end, we develop off-line and online power control policies to optimize the transmit power of the two nodes. In the off-line case, we cast the problem as a convex optimization and investigate the structure of the optimal solution. We also develop a generalized waterfilling-based power allocation algorithm to obtain the optimal solution efficiently. For the online case, we quantify the distortion of the system using a cost function and show that the expected cost equals the expected weighted-sum distortion. Based on Banach's fixed point theorem, we further propose a geometrically converging algorithm to find the minimum cost via simple iterations. Simulation results show that our online power control outperforms the greedy power control where each node uses all the available energy in each slot and also performs close to that of the proposed off-line power control. Moreover, the performance of our off-line power control almost coincides with the performance limit of the system.
Bibliographical noteFunding Information:
Manuscript received January 2, 2017; revised May 29, 2017 and August 28, 2017; accepted October 17, 2017. Date of publication November 3, 2017; date of current version January 8, 2018. This work was supported in part by the National Natural Science Foundation of China under Grant 61701247, Grant 61673222, and Grant 61701245, in part by the Jiangsu Provincial Natural Science Research Project under Grant 17KJB510035, the Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions, in part by the Startup Foundation for Introducing Talent of NUIST under Grant 2243141701008, and in part by the National Research Foundation of Korea grant through the Korean Government under Grant MSIP-2014R1A5A1011478. This paper was presented at the 2016 IEEE/CIC International Conference on Communication in China. The associate editor coordinating the review of this paper and approving it for publication was J. Lee. (Corresponding author: Zhi Chen.) Y. Dong is with the School of Electronic and Information Engineering, Nanjing University of Information Science and Technology, Nanjing 210044, China (e-mail: firstname.lastname@example.org).
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- Energy harvesting
- correlated sources
- distortion minimization
- online power allocation
ASJC Scopus subject areas
- Computer Science Applications
- Electrical and Electronic Engineering
- Applied Mathematics