On lossy source-channel transmission in Energy Harvesting communication systems

Continuous-time lossy source transmission in an Energy Harvesting (EH) communication system is studied. In particular, the distortion performance for the transmission of a Gaussian source and compound Poisson energy arrivals is considered. Based on the convexity of the distortion function and Jensen's inequality, a lower bound on the average distortion is established in terms of the capacity of the battery and parameters such as the distribution of energy arrivals and the variance of the source. Moreover, a calculus of variations technique is used to derive an adaptive transmission power policy as well as an adaptive mismatch factor. More specifically, the structure of a locally optimal achievable power policy is characterized as the solution to a first order non-linear ordinary differential equation (ODE). Also for the mismatch factor, a closed-form formula as a function of the battery charge via the LambertW function is derived.

[1]  Elza Erkip,et al.  Energy Management Policies for Energy-Neutral Source-Channel Coding , 2011, IEEE Transactions on Communications.

[2]  Gerald Matz,et al.  Energy-Neutral Source-Channel Coding with Battery and Memory Size Constraints , 2013, IEEE Transactions on Communications.

[3]  Patrick Mitran,et al.  On Online Energy Harvesting in Multiple Access Communication Systems , 2013, IEEE Transactions on Information Theory.

[4]  Deniz Gündüz,et al.  Delay-constrained distortion minimization for energy harvesting transmission over a fading channel , 2013, 2013 IEEE International Symposium on Information Theory.

[5]  Jing Yang,et al.  Broadcasting with an Energy Harvesting Rechargeable Transmitter , 2010, IEEE Transactions on Wireless Communications.

[6]  Gaston H. Gonnet,et al.  On the LambertW function , 1996, Adv. Comput. Math..

[7]  Shuguang Cui,et al.  Throughput Maximization for the Gaussian Relay Channel with Energy Harvesting Constraints , 2011, IEEE Journal on Selected Areas in Communications.

[8]  Patrick Mitran,et al.  On optimal online power policies for energy harvesting with finite-state Markov channels , 2013, 2013 IEEE International Symposium on Information Theory.

[9]  S. Asmussen,et al.  Applied Probability and Queues , 1989 .

[10]  Jing Yang,et al.  Optimal Packet Scheduling in a Multiple Access Channel with Rechargeable Nodes , 2011, 2011 IEEE International Conference on Communications (ICC).

[11]  Patrick Mitran,et al.  On optimal online policies in energy harvesting systems for compound poisson energy arrivals , 2012, 2012 IEEE International Symposium on Information Theory Proceedings.

[12]  Fabrice Guillemin,et al.  Boundary behavior and product-form stationary distributions of jump diffusions in the orthant with state-dependent reflections , 2008, Advances in Applied Probability.

[13]  Thomas M. Cover,et al.  Elements of Information Theory , 2005 .