7,769 research outputs found
Secure Transmission in Amplify-and-Forward Diamond Networks with a Single Eavesdropper
Unicast communication over a network of -parallel relays in the presence
of an eavesdropper is considered. The relay nodes, operating under individual
power constraints, amplify and forward the signals received at their inputs.
The problem of the maximum secrecy rate achievable with AF relaying is
addressed. Previous work on this problem provides iterative algorithms based on
semidefinite relaxation. However, those algorithms result in suboptimal
performance without any performance and convergence guarantees. We address this
problem for three specific network models, with real-valued channel gains. We
propose a novel transformation that leads to convex optimization problems. Our
analysis leads to (i)a polynomial-time algorithm to compute the optimal secure
AF rate for two of the models and (ii) a closed-form expression for the optimal
secure rate for the other.Comment: 12pt font, 18 pages, 1 figure, conferenc
Energy Harvesting Networks with General Utility Functions: Near Optimal Online Policies
We consider online scheduling policies for single-user energy harvesting
communication systems, where the goal is to characterize online policies that
maximize the long term average utility, for some general concave and
monotonically increasing utility function. In our setting, the transmitter
relies on energy harvested from nature to send its messages to the receiver,
and is equipped with a finite-sized battery to store its energy. Energy packets
are independent and identically distributed (i.i.d.) over time slots, and are
revealed causally to the transmitter. Only the average arrival rate is known a
priori. We first characterize the optimal solution for the case of Bernoulli
arrivals. Then, for general i.i.d. arrivals, we first show that fixed fraction
policies [Shaviv-Ozgur] are within a constant multiplicative gap from the
optimal solution for all energy arrivals and battery sizes. We then derive a
set of sufficient conditions on the utility function to guarantee that fixed
fraction policies are within a constant additive gap as well from the optimal
solution.Comment: To appear in the 2017 IEEE International Symposium on Information
Theory. arXiv admin note: text overlap with arXiv:1705.1030
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