Channels that die

Given the possibility of communication systems failing catastrophically, we investigate limits to communicating over channels that fail at random times. These channels are finite-state semi-Markov channels. We show that communication with arbitrarily small probability of error is not possible. Makin...

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Main Authors: Goyal, Vivek K., Mitter, Sanjoy K., Varshney, Lav Raj
Other Authors: Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Format: Article
Language:en_US
Published: Institute of Electrical and Electronics Engineers 2010
Online Access:http://hdl.handle.net/1721.1/60318
https://orcid.org/0000-0002-8619-1295
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author Goyal, Vivek K.
Mitter, Sanjoy K.
Varshney, Lav Raj
author2 Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
author_facet Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science
Goyal, Vivek K.
Mitter, Sanjoy K.
Varshney, Lav Raj
author_sort Goyal, Vivek K.
collection MIT
description Given the possibility of communication systems failing catastrophically, we investigate limits to communicating over channels that fail at random times. These channels are finite-state semi-Markov channels. We show that communication with arbitrarily small probability of error is not possible. Making use of results in finite block-length channel coding, we determine sequences of block-lengths that optimize transmission volume communicated at fixed maximum message error probabilities. A dynamic programming formulation is used to show that channel state feedback does not improve performance.
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spelling mit-1721.1/603182022-09-28T00:11:09Z Channels that die Goyal, Vivek K. Mitter, Sanjoy K. Varshney, Lav Raj Massachusetts Institute of Technology. Department of Electrical Engineering and Computer Science Massachusetts Institute of Technology. Laboratory for Information and Decision Systems Massachusetts Institute of Technology. Research Laboratory of Electronics Goyal, Vivek K. Goyal, Vivek K. Mitter, Sanjoy K. Varshney, Lav Raj Given the possibility of communication systems failing catastrophically, we investigate limits to communicating over channels that fail at random times. These channels are finite-state semi-Markov channels. We show that communication with arbitrarily small probability of error is not possible. Making use of results in finite block-length channel coding, we determine sequences of block-lengths that optimize transmission volume communicated at fixed maximum message error probabilities. A dynamic programming formulation is used to show that channel state feedback does not improve performance. National Science Foundation (U.S.) (Grant 0729069) (Grant 0325774) 2010-12-17T21:42:24Z 2010-12-17T21:42:24Z 2009-09 Article http://purl.org/eprint/type/ConferencePaper 978-1-4244-5870-7 INSPEC Accession Number: 11135176 http://hdl.handle.net/1721.1/60318 Varshney, L.R., S.K. Mitter, and V.K. Goyal. “Channels that die.” Communication, Control, and Computing, 2009. Allerton 2009. 47th Annual Allerton Conference on. 2009. 566-573. © 2009, IEEE https://orcid.org/0000-0002-8619-1295 en_US http://dx.doi.org/10.1109/ALLERTON.2009.5394908 Allerton Conference on Communication, Control, and Computing Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf Institute of Electrical and Electronics Engineers IEEE
spellingShingle Goyal, Vivek K.
Mitter, Sanjoy K.
Varshney, Lav Raj
Channels that die
title Channels that die
title_full Channels that die
title_fullStr Channels that die
title_full_unstemmed Channels that die
title_short Channels that die
title_sort channels that die
url http://hdl.handle.net/1721.1/60318
https://orcid.org/0000-0002-8619-1295
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