Secrecy Analysis of Random MIMO Wireless Networks over $\alpha$-$\mu$ Fading Channels
Abstract
In this paper, we investigate the secrecy performance of stochastic MIMO wireless networks over small-scale - fading channels, where both the legitimate receivers and eavesdroppers are distributed with two independent homogeneous Poisson point processes (HPPPs). Specifically, accounting for the presence of non-colluding eavesdroppers, secrecy performance metrics, including the connection outage probability (COP), the probability of non-zero secrecy capacity (PNZ) and ergodic secrecy capacity, are derived regarding the -th nearest/best user cases. The index for the -th nearest user is extracted from the ordering, in terms of the distances between transmitters and receivers, whereas that for the -th best user is based on the combined effects of path-loss and small-scale fading. In particular, the probability density functions (PDFs) and cumulative distribution functions (CDFs) of the composite channel gain, for the -th nearest and best user, are characterized, respectively. Benefiting from these results, closed-form representations of the COP, PNZ and ergodic secrecy capacity are subsequently obtained. Furthermore, a limit on the maximal number of the best-ordered users is also computed, for a given secrecy outage constraint. Finally, numerical results are provided to verify the correctness of our derivations. Additionally, the effects of fading parameters, path-loss exponent, and density ratios are also analyzed.
Keywords
Cite
@article{arxiv.1810.00921,
title = {Secrecy Analysis of Random MIMO Wireless Networks over $\alpha$-$\mu$ Fading Channels},
author = {Long Kong and Satyanarayana Vuppala and Georges Kaddoum},
journal= {arXiv preprint arXiv:1810.00921},
year = {2018}
}