Impact of Uncertainty About a User to be Active on OFDM Transmission Strategies

Andrey Garnaev; Wade Trappe; Ratnesh Kumbhkar; Narayan B. Mandayam

doi:10.1007/978-3-319-76207-4_18

Impact of Uncertainty About a User to be Active on OFDM Transmission Strategies

Andrey Garnaev, Wade Trappe, Ratnesh Kumbhkar, Narayan B. Mandayam

School of Engineering, Electrical & Computer Engineering

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

Abstract

In this paper we investigate the impact that incomplete knowledge regarding user activity can have on the equilibrium transmission strategy for an OFDM-based communication system. The problem is formulated as a two user non-zero sum game for independent fading channel gains, where the equilibrium strategies are derived in closed form. This allows one to show that a decrease in uncertainty about the user activity could reduce the number of subcarriers jointly used by the users. For the boundary case (with complete information, which reflects a classical water-filling game) the equilibrium strategies are given explicitly. The necessary and sufficient conditions, when channels sharing strategies are optimal, is established as well as the set of shared subcarriers is identified. The stability of the upper bound of the size of this set with respect to power budgets is derived.

Original language	English (US)
Title of host publication	Cognitive Radio Oriented Wireless Networks - 12th International Conference, CROWNCOM 2017, Proceedings
Editors	Paulo Marques, Ayman Radwan, Shahid Mumtaz, Jonathan Rodriguez, Michael Gundlach, Dominique Noguet
Publisher	Springer Verlag
Pages	211-222
Number of pages	12
ISBN (Print)	9783319762067
DOIs	https://doi.org/10.1007/978-3-319-76207-4_18
State	Published - 2018
Event	12th EAI International Conference on Cognitive Radio Oriented Wireless Networks, CROWNCOM 2017 - Lisbon, Portugal Duration: Sep 20 2017 → Sep 21 2017

Publication series

Name	Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST
Volume	228
ISSN (Print)	1867-8211

Other

Other	12th EAI International Conference on Cognitive Radio Oriented Wireless Networks, CROWNCOM 2017
Country/Territory	Portugal
City	Lisbon
Period	9/20/17 → 9/21/17

All Science Journal Classification (ASJC) codes

Computer Networks and Communications

Keywords

Multicarrier modulation
NC-OFDM
Nash equilibrium
OFDM

Access to Document

10.1007/978-3-319-76207-4_18

Cite this

Garnaev, A., Trappe, W., Kumbhkar, R., & Mandayam, N. B. (2018). Impact of Uncertainty About a User to be Active on OFDM Transmission Strategies. In P. Marques, A. Radwan, S. Mumtaz, J. Rodriguez, M. Gundlach, & D. Noguet (Eds.), Cognitive Radio Oriented Wireless Networks - 12th International Conference, CROWNCOM 2017, Proceedings (pp. 211-222). (Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST; Vol. 228). Springer Verlag. https://doi.org/10.1007/978-3-319-76207-4_18

Garnaev, Andrey ; Trappe, Wade ; Kumbhkar, Ratnesh et al. / Impact of Uncertainty About a User to be Active on OFDM Transmission Strategies. Cognitive Radio Oriented Wireless Networks - 12th International Conference, CROWNCOM 2017, Proceedings. editor / Paulo Marques ; Ayman Radwan ; Shahid Mumtaz ; Jonathan Rodriguez ; Michael Gundlach ; Dominique Noguet. Springer Verlag, 2018. pp. 211-222 (Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST).

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abstract = "In this paper we investigate the impact that incomplete knowledge regarding user activity can have on the equilibrium transmission strategy for an OFDM-based communication system. The problem is formulated as a two user non-zero sum game for independent fading channel gains, where the equilibrium strategies are derived in closed form. This allows one to show that a decrease in uncertainty about the user activity could reduce the number of subcarriers jointly used by the users. For the boundary case (with complete information, which reflects a classical water-filling game) the equilibrium strategies are given explicitly. The necessary and sufficient conditions, when channels sharing strategies are optimal, is established as well as the set of shared subcarriers is identified. The stability of the upper bound of the size of this set with respect to power budgets is derived.",

keywords = "Multicarrier modulation, NC-OFDM, Nash equilibrium, OFDM",

author = "Andrey Garnaev and Wade Trappe and Ratnesh Kumbhkar and Mandayam, {Narayan B.}",

note = "Funding Information: Acknowledgments. This work is supported in part by a grant from the U.S. Office of Naval Research (ONR) under grant number N00014-15-1-2168. Publisher Copyright: {\textcopyright} 2018, ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.; 12th EAI International Conference on Cognitive Radio Oriented Wireless Networks, CROWNCOM 2017 ; Conference date: 20-09-2017 Through 21-09-2017",

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doi = "10.1007/978-3-319-76207-4_18",

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series = "Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST",

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pages = "211--222",

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Garnaev, A, Trappe, W, Kumbhkar, R & Mandayam, NB 2018, Impact of Uncertainty About a User to be Active on OFDM Transmission Strategies. in P Marques, A Radwan, S Mumtaz, J Rodriguez, M Gundlach & D Noguet (eds), Cognitive Radio Oriented Wireless Networks - 12th International Conference, CROWNCOM 2017, Proceedings. Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST, vol. 228, Springer Verlag, pp. 211-222, 12th EAI International Conference on Cognitive Radio Oriented Wireless Networks, CROWNCOM 2017, Lisbon, Portugal, 9/20/17. https://doi.org/10.1007/978-3-319-76207-4_18

Impact of Uncertainty About a User to be Active on OFDM Transmission Strategies. / Garnaev, Andrey; Trappe, Wade; Kumbhkar, Ratnesh et al.
Cognitive Radio Oriented Wireless Networks - 12th International Conference, CROWNCOM 2017, Proceedings. ed. / Paulo Marques; Ayman Radwan; Shahid Mumtaz; Jonathan Rodriguez; Michael Gundlach; Dominique Noguet. Springer Verlag, 2018. p. 211-222 (Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST; Vol. 228).

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

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AU - Garnaev, Andrey

AU - Trappe, Wade

AU - Kumbhkar, Ratnesh

AU - Mandayam, Narayan B.

N1 - Funding Information: Acknowledgments. This work is supported in part by a grant from the U.S. Office of Naval Research (ONR) under grant number N00014-15-1-2168. Publisher Copyright: © 2018, ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering.

PY - 2018

Y1 - 2018

N2 - In this paper we investigate the impact that incomplete knowledge regarding user activity can have on the equilibrium transmission strategy for an OFDM-based communication system. The problem is formulated as a two user non-zero sum game for independent fading channel gains, where the equilibrium strategies are derived in closed form. This allows one to show that a decrease in uncertainty about the user activity could reduce the number of subcarriers jointly used by the users. For the boundary case (with complete information, which reflects a classical water-filling game) the equilibrium strategies are given explicitly. The necessary and sufficient conditions, when channels sharing strategies are optimal, is established as well as the set of shared subcarriers is identified. The stability of the upper bound of the size of this set with respect to power budgets is derived.

AB - In this paper we investigate the impact that incomplete knowledge regarding user activity can have on the equilibrium transmission strategy for an OFDM-based communication system. The problem is formulated as a two user non-zero sum game for independent fading channel gains, where the equilibrium strategies are derived in closed form. This allows one to show that a decrease in uncertainty about the user activity could reduce the number of subcarriers jointly used by the users. For the boundary case (with complete information, which reflects a classical water-filling game) the equilibrium strategies are given explicitly. The necessary and sufficient conditions, when channels sharing strategies are optimal, is established as well as the set of shared subcarriers is identified. The stability of the upper bound of the size of this set with respect to power budgets is derived.

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PB - Springer Verlag

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Garnaev A, Trappe W, Kumbhkar R, Mandayam NB. Impact of Uncertainty About a User to be Active on OFDM Transmission Strategies. In Marques P, Radwan A, Mumtaz S, Rodriguez J, Gundlach M, Noguet D, editors, Cognitive Radio Oriented Wireless Networks - 12th International Conference, CROWNCOM 2017, Proceedings. Springer Verlag. 2018. p. 211-222. (Lecture Notes of the Institute for Computer Sciences, Social-Informatics and Telecommunications Engineering, LNICST). doi: 10.1007/978-3-319-76207-4_18

Impact of Uncertainty About a User to be Active on OFDM Transmission Strategies

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