Hypothesis testing over cascade channels

Sadaf Salehkalaibar; Michele Wigger; Ligong Wang

doi:10.1109/ITW.2017.8277994

Hypothesis testing over cascade channels

Sadaf Salehkalaibar
, Michele Wigger
, Ligong Wang

Université Paris-Saclay
ECE Department
University of Tehran

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

2 Citations (Scopus)

Abstract

Binary hypothesis testing over single and parallel cascade channels is considered where sensors communicate with dedicated relays, and these relays with a single final receiver. All relays as well as the final receiver decide on the binary hypothesis governing the joint probability distribution of the observations at the sensors, relays, and final receiver. The quantity of interest is the set of feasible type-II error exponents that allow for the type-I error probabilities to vanish asymptotically as the observation length increases. A coding scheme is proposed and the corresponding set of feasible type-II error exponents is analyzed by means of a modified Han-type analysis that can account for distributed decisions based on different codebooks and for nodes forwarding their decisions to other nodes. The obtained exponent region is optimal in some special cases.

Original language	English
Title of host publication	2017 IEEE Information Theory Workshop, ITW 2017
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	369-373
Number of pages	5
ISBN (Electronic)	9781509030972
DOIs	https://doi.org/10.1109/ITW.2017.8277994
Publication status	Published - 2 Jul 2017
Externally published	Yes
Event	2017 IEEE Information Theory Workshop, ITW 2017 - Kaohsiung, Taiwan, Province of China Duration: 6 Nov 2017 → 10 Nov 2017

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2018-January
ISSN (Print)	2157-8095

Conference

Conference	2017 IEEE Information Theory Workshop, ITW 2017
Country/Territory	Taiwan, Province of China
City	Kaohsiung
Period	6/11/17 → 10/11/17

Access to Document

10.1109/ITW.2017.8277994

Cite this

@inproceedings{0122e0e493974ef1bf27ae007b8fbf75,

title = "Hypothesis testing over cascade channels",

abstract = "Binary hypothesis testing over single and parallel cascade channels is considered where sensors communicate with dedicated relays, and these relays with a single final receiver. All relays as well as the final receiver decide on the binary hypothesis governing the joint probability distribution of the observations at the sensors, relays, and final receiver. The quantity of interest is the set of feasible type-II error exponents that allow for the type-I error probabilities to vanish asymptotically as the observation length increases. A coding scheme is proposed and the corresponding set of feasible type-II error exponents is analyzed by means of a modified Han-type analysis that can account for distributed decisions based on different codebooks and for nodes forwarding their decisions to other nodes. The obtained exponent region is optimal in some special cases.",

author = "Sadaf Salehkalaibar and Michele Wigger and Ligong Wang",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 2017 IEEE Information Theory Workshop, ITW 2017 ; Conference date: 06-11-2017 Through 10-11-2017",

year = "2017",

month = jul,

day = "2",

doi = "10.1109/ITW.2017.8277994",

language = "English",

series = "IEEE International Symposium on Information Theory - Proceedings",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

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booktitle = "2017 IEEE Information Theory Workshop, ITW 2017",

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Salehkalaibar, S, Wigger, M & Wang, L 2017, Hypothesis testing over cascade channels. in 2017 IEEE Information Theory Workshop, ITW 2017. IEEE International Symposium on Information Theory - Proceedings, vol. 2018-January, Institute of Electrical and Electronics Engineers Inc., pp. 369-373, 2017 IEEE Information Theory Workshop, ITW 2017, Kaohsiung, Taiwan, Province of China, 6/11/17. https://doi.org/10.1109/ITW.2017.8277994

Hypothesis testing over cascade channels. / Salehkalaibar, Sadaf; Wigger, Michele; Wang, Ligong.
2017 IEEE Information Theory Workshop, ITW 2017. Institute of Electrical and Electronics Engineers Inc., 2017. p. 369-373 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2018-January).

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

TY - GEN

T1 - Hypothesis testing over cascade channels

AU - Salehkalaibar, Sadaf

AU - Wigger, Michele

AU - Wang, Ligong

PY - 2017/7/2

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N2 - Binary hypothesis testing over single and parallel cascade channels is considered where sensors communicate with dedicated relays, and these relays with a single final receiver. All relays as well as the final receiver decide on the binary hypothesis governing the joint probability distribution of the observations at the sensors, relays, and final receiver. The quantity of interest is the set of feasible type-II error exponents that allow for the type-I error probabilities to vanish asymptotically as the observation length increases. A coding scheme is proposed and the corresponding set of feasible type-II error exponents is analyzed by means of a modified Han-type analysis that can account for distributed decisions based on different codebooks and for nodes forwarding their decisions to other nodes. The obtained exponent region is optimal in some special cases.

AB - Binary hypothesis testing over single and parallel cascade channels is considered where sensors communicate with dedicated relays, and these relays with a single final receiver. All relays as well as the final receiver decide on the binary hypothesis governing the joint probability distribution of the observations at the sensors, relays, and final receiver. The quantity of interest is the set of feasible type-II error exponents that allow for the type-I error probabilities to vanish asymptotically as the observation length increases. A coding scheme is proposed and the corresponding set of feasible type-II error exponents is analyzed by means of a modified Han-type analysis that can account for distributed decisions based on different codebooks and for nodes forwarding their decisions to other nodes. The obtained exponent region is optimal in some special cases.

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M3 - Conference contribution

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PB - Institute of Electrical and Electronics Engineers Inc.

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ER -

Hypothesis testing over cascade channels

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