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The Meta Distribution of the Secrecy Rate in the Presence of Randomly Located Eavesdroppers

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journal contribution
posted on 25.07.2018, 08:19 by Jinchuan Tang, Gaojie Chen, Justin P. Coon
This letter studies the meta distribution of the secrecy rate for a legitimate link in the presence of eavesdroppers (EDs) with locations modeled as a Poisson point process (PPP). Both colluding and non-colluding EDs are considered. The meta distribution of the secrecy rate can provide the fraction of the realizations of EDs fulfilling a target secrecy rate. It can either be formulated using the Gil-Pelaez theorem with the imaginary moments of the conditional secrecy success probability (CSSP) given the realization of eavesdroppers or approximated by the beta distribution with the first two moments only. Hence, we first derive the bth moment of the CSSP for the colluding scenario. Then, we formulate the exact first moment and the approximated second moment of the CSSP for the non-colluding scenario using the Fortuin-Kasteleyn-Ginibre inequality. Finally, simulations are used to validate the analytic results.

Funding

This work was supported by EPSRC grant number EP/N002350/1 (“Spatially Embedded Networks”).

History

Citation

IEEE Wireless Communications Letters, 2018

Author affiliation

/Organisation/COLLEGE OF SCIENCE AND ENGINEERING/Department of Engineering

Version

AM (Accepted Manuscript)

Published in

IEEE Wireless Communications Letters

Publisher

Institute of Electrical and Electronics Engineers (IEEE)

issn

2162-2337

eissn

2162-2345

Copyright date

2018

Available date

25/07/2018

Publisher version

https://ieeexplore.ieee.org/document/8290712/

Language

en