Quadratically Constrained Two-way Adversarial Channels

Zhang, Yihan and Vatedka, Shashank and Jaggi, Sidharth (2020) Quadratically Constrained Two-way Adversarial Channels. In: 2020 IEEE International Symposium on Information Theory, ISIT 2020, 21 July 2020through 26 July 2020, Los Angeles.

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Abstract

We study achievable rates of reliable communication in a power-constrained two-way additive interference channel over the real alphabet where communication is disrupted by a power-constrained jammer. This models the wireless communication scenario where two users Alice and Bob, operating in the full duplex mode, wish to exchange messages with each other in the presence of a jammer, James. Alice and Bob simultaneously transmit their encodings x A and x B over n channel uses. It is assumed that James can choose his jamming signal s as a noncausal randomized function of x A + x B , and the codebooks used by Alice and Bob. Alice and Bob observe x A + x B + s, and must recover each others' messages reliably. In this article, we provide upper and lower bounds on the capacity of this channel which match each other and equal \frac{1}{2}\log \left( {\frac{1}{2} + SNR} \right) in the high- SNR regime (where SNR, signal to noise ratios, is defined as the ratio of the power constraints of the users to the power constraint of the jammer). We give a code construction based on lattice codes, and derive achievable rates for large SNR. We also present upper bounds based on two specific attack strategies for James. Along the way, sumset property of lattices for the achievability and general properties of capacity-achieving codes for memoryless channels for the converse are proved, which might be of independent interest. The full version of this paper is [1]. © 2020 IEEE.

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IITH Creators:

IITH Creators	ORCiD
Vatedka, Shashank	https://orcid.org/0000-0003-2384-9392

Item Type:

Conference or Workshop Item (Paper)

Uncontrolled Keywords:

Additive interference; Attack strategies; Full duplex modes; Memoryless channels; Power constraints; Reliable communication; Upper and lower bounds; Wireless communications

Subjects:

Electrical Engineering

Divisions:

Department of Electrical Engineering

Depositing User:

. LibTrainee 2021

Date Deposited:

18 Nov 2022 15:18

Last Modified:

18 Nov 2022 15:18

URI:

http://raiithold.iith.ac.in/id/eprint/11307