Finite Blocklength and Dispersion Bounds for the Arbitrarily- Varying Channel

Document Type

Conference Proceeding

Publication Date

8-15-2018

Abstract

Finite blocklength and second-order (dispersion) results are presented for the arbitrarily-varying channel (AVC), a classical model wherein an adversary can transmit arbitrary signals into the channel. A novel finite blocklength achievability bound is presented, roughly analogous to the random coding union bound for non-adversarial channels. This finite blocklength bound, along with a known converse bound, is used to derive bounds on the dispersion of discrete memoryless AVCs without shared randomness, and with cost constraints on the input and the state. These bounds are tight for many channels of interest, including the binary symmetric AVC. However, the bounds are not tight if the deterministic and random code capacities differ.

Identifier

85052465591 (Scopus)

ISBN

[9781538647806]

Publication Title

IEEE International Symposium on Information Theory Proceedings

External Full Text Location

https://doi.org/10.1109/ISIT.2018.8437724

ISSN

21578095

First Page

2007

Last Page

2011

Volume

2018-June

Grant

CNS-1526547

Fund Ref

National Science Foundation

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