The covert capacity is characterized for a non-coherent fast Rayleigh-fading wireless channel, in which a legitimate user wishes to communicate reliably with a legitimate receiver while escaping detection from a warden. It is shown that the covert capacity is achieved with an amplitude-constrained input distribution that consists of a finite number of mass points including one at zero and numerically tractable bounds are provided. It is also conjectured that distributions with two mass points in fixed locations are optimal.
@article{Tahmasbi2018a,
author = {Tahmasbi, Mehrdad and Savard, Anne and Bloch, Matthieu R},
journal = {IEEE Transactions on Information Theory},
title = {Covert Capacity of Non-Coherent Rayleigh-Fading Channels},
year = {2020},
issn = {0018-9448},
month = apr,
number = {4},
pages = {1979-2005},
volume = {66},
doi = {10.1109/TIT.2019.2956489},
eprint = {1810.07687},
file = {:2020-Tahmasbi-IEEETransIT.pdf:PDF},
groups = {Steganography and covert communications},
howpublished = {accepted to \emph{IEEE Transactions on Information Theory}}
}