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Negligible Cooperation: Contrasting the Maximal- and Average-Error Cases

Noorzad, Parham and Langberg, Michael and Effros, Michelle (2019) Negligible Cooperation: Contrasting the Maximal- and Average-Error Cases. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20200214-105541551

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Abstract

In communication networks, cooperative strategies are coding schemes where network nodes work together to improve network performance metrics such as the total rate delivered across the network. This work studies encoder cooperation in the setting of a discrete multiple access channel (MAC) with two encoders and a single decoder. A network node, here called the cooperation facilitator (CF), that is connected to both encoders via rate-limited links, enables the cooperation strategy. Previous work by the authors presents two classes of MACs: (i) one class where the average-error sum-capacity has an infinite derivative in the limit where CF output link capacities approach zero, and (ii) a second class of MACs where the maximal-error sum-capacity is not continuous at the point where the output link capacities of the CF equal zero. This work contrasts the power of the CF in the maximal- and average-error cases, showing that a constant number of bits communicated over the CF output link can yield a positive gain in the maximal-error sum-capacity, while a far greater number of bits, even numbers that grow sublinearly in the blocklength, can never yield a non-negligible gain in the average-error sum-capacity.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/1911.10449arXivDiscussion Paper
ORCID:
AuthorORCID
Noorzad, Parham0000-0002-0201-3791
Langberg, Michael0000-0002-7470-0718
Additional Information:This material is based upon work supported by the National Science Foundation under Grant Numbers 1527524 and 1526771, and has appeared in part in [1], [2].
Funders:
Funding AgencyGrant Number
NSFCCF-1527524
NSFCCF-1526771
Subject Keywords:Continuity, cooperation facilitator, edge removal problem, maximal-error capacity region, multiple access channel
Record Number:CaltechAUTHORS:20200214-105541551
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20200214-105541551
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:101296
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:14 Feb 2020 21:40
Last Modified:14 Feb 2020 21:40

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