English

State Masking Over a Two-State Compound Channel

Information Theory 2020-12-04 v1 math.IT

Abstract

We consider fundamental limits for communicating over a compound channel when the state of the channel needs to be masked. Our model is closely related to an area of study known as covert communication that is a setting in which the transmitter wishes to communicate to legitimate receiver(s) while ensuring that the communication is not detected by an adversary. The main contribution in our two-state masking setup is the establishment of bounds on the throughput-key region when the constraint that quantifies how much the states are masked is defined to be the total variation distance between the two channel-induced distributions. For the scenario in which the key length is infinite, we provide sufficient conditions for when the bounds to coincide for the throughput, which follows the square-root law. Numerical examples, including that of a Gaussian channel, are provided to illustrate our results.

Keywords

Cite

@article{arxiv.2012.01706,
  title  = {State Masking Over a Two-State Compound Channel},
  author = {Sadaf Salehkalaibar and Mohammad Hossein Yassaee and Vincent Y. F. Tan and Mehrasa Ahmadipour},
  journal= {arXiv preprint arXiv:2012.01706},
  year   = {2020}
}

Comments

arXiv admin note: substantial text overlap with arXiv:1906.06675

R2 v1 2026-06-23T20:41:42.090Z