We consider an energy harvesting point-to-point communication system where the transmitter is powered by an energy arrival process and is equipped with a battery of finite capacity   $B_{\max}$  , which could be used for saving energy for future use. We assume a discrete i.i.d. energy arrival process where at each time step, energy of amount   $A_i$   is harvested with probability   $p_i$     $\forall i \in \{1, 2, \ldots, K\}$   independent of the other time steps. We provide upper and lower bounds on the capacity of this channel. These bounds are shown to be within a constant gap for   $K\le 3$   for all parameters, and for   $K > 3$   when the battery capacity   $B_{\max}$   is small or large enough, where this constant does not depend on any energy or battery parameters.
['Mehdi Ashraphijuo', 'Vaneet Aggarwal', 'Xiaodong Wang']
On the Capacity of Energy Harvesting Communication Link