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Robust Power Allocation and Outage Analysis for Secrecy in Independent Parallel Gaussian Channels
This letter studies parallel independent Gaussian channels with uncertain
eavesdropper channel state information (CSI). Firstly, we evaluate the
probability of zero secrecy rate in this system for (i) given instantaneous
channel conditions and (ii) a Rayleigh fading scenario. Secondly, when non-zero
secrecy is achievable in the low SNR regime, we aim to solve a robust power
allocation problem which minimizes the outage probability at a target secrecy
rate. We bound the outage probability and obtain a linear fractional program
that takes into account the uncertainty in eavesdropper CSI while allocating
power on the parallel channels. Problem structure is exploited to solve this
optimization problem efficiently. We find the proposed scheme effective for
uncertain eavesdropper CSI in comparison with conventional power allocation
schemes.Comment: 4 pages, 2 figures. Author version of the paper published in IEEE
Wireless Communications Letters. Published version is accessible at
http://dx.doi.org/10.1109/LWC.2015.249734
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