Noorzad, Parham and Effros, Michelle and Langberg, Michael (2018) Can Negligible Rate Increase Network Reliability? IEEE Transactions on Information Theory, 64 (6). pp. 4282-4293. ISSN 0018-9448. doi:10.1109/TIT.2017.2713801. https://resolver.caltech.edu/CaltechAUTHORS:20170614-160818881
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Abstract
In network cooperation strategies, nodes work together with the aim of increasing transmission rates or reliability. This paper demonstrates that enabling cooperation between the transmitters of a two-user multiple access channel via a cooperation facilitator that has access to both messages results in a network whose maximal- and average-error capacity regions are the same; this benefit ensues even when the information received by each transmitter is negligible. From this result, it follows that if a multiple access channel with no transmitter cooperation has different maximal- and average-error sumcapacities, then the maximal-error sum-capacity of the network consisting of this channel and a cooperation facilitator is not continuous with respect to the output edge capacities of the facilitator. Thus there exist networks where adding negligible rate yields a non-negligible benefit.
Item Type: | Article | ||||||||
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Additional Information: | © 2017 IEEE. Manuscript received September 30, 2016; revised May 15, 2017; accepted May 20, 2017. Date of publication June 8, 2017; date of current version May 18, 2018. This material is based upon work supported by the National Science Foundation under Grant 1527524, Grant 1526771, and Grant 1321129. This paper was presented in part at the 2016 IEEE International Symposium on Information Theory [1]. | ||||||||
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Subject Keywords: | Continuity, cooperation, edge removal, maximal-error capacity region, multiple access channel, negligible capacity, network information theory, reliability | ||||||||
Issue or Number: | 6 | ||||||||
DOI: | 10.1109/TIT.2017.2713801 | ||||||||
Record Number: | CaltechAUTHORS:20170614-160818881 | ||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20170614-160818881 | ||||||||
Official Citation: | P. Noorzad, M. Effros and M. Langberg, "Can Negligible Rate Increase Network Reliability?," in IEEE Transactions on Information Theory, vol. 64, no. 6, pp. 4282-4293, June 2018. doi: 10.1109/TIT.2017.2713801 | ||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||
ID Code: | 78220 | ||||||||
Collection: | CaltechAUTHORS | ||||||||
Deposited By: | INVALID USER | ||||||||
Deposited On: | 14 Jun 2017 23:18 | ||||||||
Last Modified: | 15 Nov 2021 17:37 |
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