Some Aspects of Totally Positive Kernels Useful in Information Theory

Semih Yagli; Alex Dytso; H. Vincent Poor; Shlomo Shamai Shitz

doi:10.1109/WCNCW.2019.8902888

Some Aspects of Totally Positive Kernels Useful in Information Theory

Semih Yagli, Alex Dytso, H. Vincent Poor, Shlomo Shamai Shitz

Electrical and Computer Engineering

Technion - Israel Institute of Technology

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

This paper introduces totally positive kernels and Pólya type distributions to information theory. In particular, it is shown that the variational diminishing property of Pólya type distributions, which is captured by the Oscillation Theorem, can be used to characterize the structure of capacity-achieving distributions for a large class of channels.

Original language	English
Title of host publication	2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019
ISBN (Electronic)	9781728109220
DOIs	https://doi.org/10.1109/WCNCW.2019.8902888
State	Published - Apr 2019
Event	2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019 - Marrakech, Morocco Duration: 15 Apr 2019 → 18 Apr 2019

Publication series

Name	2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019

Conference

Conference	2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019
Country/Territory	Morocco
City	Marrakech
Period	15/04/19 → 18/04/19

All Science Journal Classification (ASJC) codes

Computer Networks and Communications
Hardware and Architecture
Signal Processing
Safety, Risk, Reliability and Quality

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10.1109/WCNCW.2019.8902888

Cite this

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title = "Some Aspects of Totally Positive Kernels Useful in Information Theory",

abstract = "This paper introduces totally positive kernels and P{\'o}lya type distributions to information theory. In particular, it is shown that the variational diminishing property of P{\'o}lya type distributions, which is captured by the Oscillation Theorem, can be used to characterize the structure of capacity-achieving distributions for a large class of channels.",

author = "Semih Yagli and Alex Dytso and Poor, {H. Vincent} and {Shamai Shitz}, Shlomo",

note = "Publisher Copyright: {\textcopyright} 2019 IEEE.; 2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019 ; Conference date: 15-04-2019 Through 18-04-2019",

year = "2019",

month = apr,

doi = "10.1109/WCNCW.2019.8902888",

language = "الإنجليزيّة",

series = "2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019",

booktitle = "2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019",

}

Yagli, S, Dytso, A, Poor, HV & Shamai Shitz, S 2019, Some Aspects of Totally Positive Kernels Useful in Information Theory. in 2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019., 8902888, 2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019, 2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019, Marrakech, Morocco, 15/04/19. https://doi.org/10.1109/WCNCW.2019.8902888

Some Aspects of Totally Positive Kernels Useful in Information Theory. / Yagli, Semih; Dytso, Alex; Poor, H. Vincent et al.
2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019. 2019. 8902888 (2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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M3 - منشور من مؤتمر

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BT - 2019 IEEE Wireless Communications and Networking Conference Workshop, WCNCW 2019

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Y2 - 15 April 2019 through 18 April 2019

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Some Aspects of Totally Positive Kernels Useful in Information Theory

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