On the sum-rate capacity of non-symmetric Poisson multiple access channel

Ain Ul Aisha; Yingbin Liang; Lifeng Lai; Shlomo Shamai Shitz

doi:10.1109/ISIT.2016.7541324

On the sum-rate capacity of non-symmetric Poisson multiple access channel

Ain Ul Aisha, Yingbin Liang, Lifeng Lai, Shlomo Shamai Shitz

Department of Electrical Engineering & Computer Science

Research output: Chapter in Book/Entry/Poem › Conference contribution

3 Scopus citations

Abstract

In this paper, we characterize the sum-rate capacity of the non-symmetric Poisson multiple access channel (MAC). While the sum-rate capacity of the symmetric Poisson MAC has been characterized in the literature, the special property exploited in the existing method for the symmetric case does not hold for the non-symmetric channel anymore. We obtain the optimal input that achieves the sum-rate capacity by solving a non-convex optimization problem. We show that, for certain channel parameters, it is optimal for a single user to transmit to achieve the sum-rate capacity. This is in sharp contrast to the Gaussian MAC, in which all users must transmit, either simultaneously or at different times, in order to achieve the sum-rate capacity.

Original language	English (US)
Title of host publication	Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	375-379
Number of pages	5
ISBN (Electronic)	9781509018062
DOIs	https://doi.org/10.1109/ISIT.2016.7541324
State	Published - Aug 10 2016
Event	2016 IEEE International Symposium on Information Theory, ISIT 2016 - Barcelona, Spain Duration: Jul 10 2016 → Jul 15 2016

Publication series

Name	IEEE International Symposium on Information Theory - Proceedings
Volume	2016-August
ISSN (Print)	2157-8095

Other

Other	2016 IEEE International Symposium on Information Theory, ISIT 2016
Country/Territory	Spain
City	Barcelona
Period	7/10/16 → 7/15/16

Keywords

Poisson channels
multi-access channels
optimal power allocation
sum-rate

ASJC Scopus subject areas

Theoretical Computer Science
Information Systems
Modeling and Simulation
Applied Mathematics

Access to Document

10.1109/ISIT.2016.7541324

Cite this

Aisha, A. U., Liang, Y., Lai, L., & Shitz, S. S. (2016). On the sum-rate capacity of non-symmetric Poisson multiple access channel. In Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory (pp. 375-379). Article 7541324 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2016-August). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISIT.2016.7541324

On the sum-rate capacity of non-symmetric Poisson multiple access channel. / Aisha, Ain Ul; Liang, Yingbin; Lai, Lifeng et al.
Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. Institute of Electrical and Electronics Engineers Inc., 2016. p. 375-379 7541324 (IEEE International Symposium on Information Theory - Proceedings; Vol. 2016-August).

Research output: Chapter in Book/Entry/Poem › Conference contribution

Aisha, AU, Liang, Y, Lai, L & Shitz, SS 2016, On the sum-rate capacity of non-symmetric Poisson multiple access channel. in Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory., 7541324, IEEE International Symposium on Information Theory - Proceedings, vol. 2016-August, Institute of Electrical and Electronics Engineers Inc., pp. 375-379, 2016 IEEE International Symposium on Information Theory, ISIT 2016, Barcelona, Spain, 7/10/16. https://doi.org/10.1109/ISIT.2016.7541324

Aisha AU, Liang Y, Lai L, Shitz SS. On the sum-rate capacity of non-symmetric Poisson multiple access channel. In Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory. Institute of Electrical and Electronics Engineers Inc. 2016. p. 375-379. 7541324. (IEEE International Symposium on Information Theory - Proceedings). doi: 10.1109/ISIT.2016.7541324

@inproceedings{c462f5e62e244d8691294f3fad24f49d,

title = "On the sum-rate capacity of non-symmetric Poisson multiple access channel",

abstract = "In this paper, we characterize the sum-rate capacity of the non-symmetric Poisson multiple access channel (MAC). While the sum-rate capacity of the symmetric Poisson MAC has been characterized in the literature, the special property exploited in the existing method for the symmetric case does not hold for the non-symmetric channel anymore. We obtain the optimal input that achieves the sum-rate capacity by solving a non-convex optimization problem. We show that, for certain channel parameters, it is optimal for a single user to transmit to achieve the sum-rate capacity. This is in sharp contrast to the Gaussian MAC, in which all users must transmit, either simultaneously or at different times, in order to achieve the sum-rate capacity.",

keywords = "Poisson channels, multi-access channels, optimal power allocation, sum-rate",

author = "Aisha, {Ain Ul} and Yingbin Liang and Lifeng Lai and Shitz, {Shlomo Shamai}",

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 2016 IEEE International Symposium on Information Theory, ISIT 2016 ; Conference date: 10-07-2016 Through 15-07-2016",

year = "2016",

month = aug,

day = "10",

doi = "10.1109/ISIT.2016.7541324",

language = "English (US)",

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

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

pages = "375--379",

booktitle = "Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory",

}

TY - GEN

T1 - On the sum-rate capacity of non-symmetric Poisson multiple access channel

AU - Aisha, Ain Ul

AU - Liang, Yingbin

AU - Lai, Lifeng

AU - Shitz, Shlomo Shamai

PY - 2016/8/10

Y1 - 2016/8/10

N2 - In this paper, we characterize the sum-rate capacity of the non-symmetric Poisson multiple access channel (MAC). While the sum-rate capacity of the symmetric Poisson MAC has been characterized in the literature, the special property exploited in the existing method for the symmetric case does not hold for the non-symmetric channel anymore. We obtain the optimal input that achieves the sum-rate capacity by solving a non-convex optimization problem. We show that, for certain channel parameters, it is optimal for a single user to transmit to achieve the sum-rate capacity. This is in sharp contrast to the Gaussian MAC, in which all users must transmit, either simultaneously or at different times, in order to achieve the sum-rate capacity.

AB - In this paper, we characterize the sum-rate capacity of the non-symmetric Poisson multiple access channel (MAC). While the sum-rate capacity of the symmetric Poisson MAC has been characterized in the literature, the special property exploited in the existing method for the symmetric case does not hold for the non-symmetric channel anymore. We obtain the optimal input that achieves the sum-rate capacity by solving a non-convex optimization problem. We show that, for certain channel parameters, it is optimal for a single user to transmit to achieve the sum-rate capacity. This is in sharp contrast to the Gaussian MAC, in which all users must transmit, either simultaneously or at different times, in order to achieve the sum-rate capacity.

KW - Poisson channels

KW - multi-access channels

KW - optimal power allocation

KW - sum-rate

UR - http://www.scopus.com/inward/record.url?scp=84985942476&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84985942476&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2016.7541324

DO - 10.1109/ISIT.2016.7541324

M3 - Conference contribution

AN - SCOPUS:84985942476

T3 - IEEE International Symposium on Information Theory - Proceedings

SP - 375

EP - 379

BT - Proceedings - ISIT 2016; 2016 IEEE International Symposium on Information Theory

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2016 IEEE International Symposium on Information Theory, ISIT 2016

Y2 - 10 July 2016 through 15 July 2016

ER -

On the sum-rate capacity of non-symmetric Poisson multiple access channel

Abstract

Publication series

Other

Keywords

ASJC Scopus subject areas

Access to Document

Other files and links

Fingerprint

Cite this