Empirical Coordination with Multiple Descriptions

Mylonakis, Michail; Stavrou, Photios A.; Skoglund, Mikael

doi:10.1109/allerton.2019.8919668

“…Simulation of a channel using another channel (instead of the noiseless communication link) was studied by Haddadpour et al [9] and Cervia et al [10]. A weaker form of coordination, namely, empirical coordination, where only the empirical distribution of the sequence of samples is required to be close to the desired distribution, has also been studied in point-to-point networks [1], [8], [11]- [14].…”

Section: Introductionmentioning

confidence: 99%

Multiple Access Channel Simulation

Kurri

¹

,

Ramachandran

²

,

Pillai

³

et al. 2022

IEEE Trans. Inform. Theory

1

0

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published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal.If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User

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“…Yassaee et al [8] established a similar trade-off for channel simulation in a point-to-point network with side-information at the decoder. A weaker form of coordination, namely, empirical coordination, where only the empirical distribution of the sequence of samples is required to be close to the desired distribution, has also been studied in point-to-point networks [1], [8]- [12].…”

Section: Introductionmentioning

confidence: 99%

Multiple Access Channel Simulation

Kurri¹,

Ramachandran²,

Pillai³

et al. 2021

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We study the problem of simulating a two-user multiple access channel over a multiple access network of noiseless links. Two encoders observe independent and identically distributed (i.i.d.) copies of a source random variable each, while a decoder observes i.i.d. copies of a side-information random variable. There are rate-limited noiseless communication links and independent pairwise shared randomness resources between each encoder and the decoder. The decoder has to output approximately i.i.d. copies of another random variable jointly distributed with the two sources and the side information. We are interested in the rate tuples which permit this simulation. This setting can be thought of as a multi-terminal generalization of the point-to-point channel simulation problem studied by Bennett et al. (2002) and Cuff (2013). General inner and outer bounds on the rate region are derived. For the specific case where the sources at the encoders are conditionally independent given the side-information at the decoder, we completely characterize the rate region. Our bounds recover the existing results on function computation over such multi-terminal networks. We then show through an example that an additional independent source of shared randomness between the encoders strictly improves the communication rate requirements, even if the additional randomness is not available to the decoder. Furthermore, we provide inner and outer bounds for this more general setting with independent pairwise shared randomness resources between all the three possible node pairs.

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Multiple Access Channel Simulation

Kurri

¹

,

Ramachandran

²

,

Pillai

³

et al. 2021

2021 IEEE International Symposium on Information Theory (ISIT)

2

0

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published version features the final layout of the paper including the volume, issue and page numbers. Link to publication General rightsCopyright and moral rights for the publications made accessible in the public portal are retained by the authors and/or other copyright owners and it is a condition of accessing publications that users recognise and abide by the legal requirements associated with these rights.• Users may download and print one copy of any publication from the public portal for the purpose of private study or research. • You may not further distribute the material or use it for any profit-making activity or commercial gain • You may freely distribute the URL identifying the publication in the public portal.If the publication is distributed under the terms of Article 25fa of the Dutch Copyright Act, indicated by the "Taverne" license above, please follow below link for the End User

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Empirical Coordination with Multiple Descriptions

Cited by 5 publications

References 18 publications

Multiple Access Channel Simulation

Multiple Access Channel Simulation

Multiple Access Channel Simulation

Multiple Access Channel Simulation

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