Constrained Secrecy Capacity of Partial-Response Wiretap Channels

02/09/2021 ∙ by Aria Nouri, et al. ∙ 0

We consider reliable and secure communication over partial-response wiretap channels (PR-WTCs). In particular, we first examine the setup where the source at the input of a PR-WTC is unconstrained and then, based on a general achievability result for arbitrary wiretap channels, we derive an achievable secure information rate for this PR-WTC. Afterwards, we examine the setup where the source at the input of a PR-WTC is constrained to be a finite-state machine source (FSMS) of a certain order and structure. Optimizing the parameters of this FSMS toward maximizing the secure information rate is a computationally intractable problem in general, and so, toward finding a local maximum, we propose an iterative algorithm that at every iteration replaces the secure information rate function by a suitable surrogate function whose maximum can be found efficiently. Although we expect the secure information rates achieved in the unconstrained setup to be larger than the secure information rates achieved in the constrained setup, the latter setup has the advantage of leading to efficient algorithms for estimating achievable secure rates and also has the benefit of being the basis of efficient encoding and decoding schemes.

READ FULL TEXT
POST COMMENT

Comments

There are no comments yet.

Authors

page 1

page 2

page 3

page 4

This week in AI

Get the week's most popular data science and artificial intelligence research sent straight to your inbox every Saturday.