A Unified Approach to Power Control in Large Energy-Constrained CDMA Systems

Farhad Meshkati; Dongning Guo; H. Vincent Poor; Stuart C. Schwartz

doi:10.1109/TWC.2008.05667

A Unified Approach to Power Control in Large Energy-Constrained CDMA Systems

Farhad Meshkati, Dongning Guo, H. Vincent Poor, Stuart C. Schwartz

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18 Scopus citations

Abstract

A unified approach to power control is proposed for maximizing utility in terms of energy efficiency in code-division multiple access (CDMA) networks. The approach is applicable to a large family of multiuser receivers including the matched filter, the decorrelator, the linear minimum mean-square error (MMSE) receiver, and the (nonlinear) optimal detectors. It exploits the linear relationship between the transmit power and the output signal-to-interference-plus-noise ratio (SIR) for each user in the large-system limit. Suppose that each user seeks to selfishly maximize its own energy efficiency, a unique Nash equilibrium is shown to exist and be SIR-balanced, thus extending a previous result on linear receivers. A unified power control algorithm for reaching the Nash equilibrium is proposed, which adjusts transmit powers iteratively by computing the large-system multiuser efficiency, which is independent of instantaneous spreading sequences. The convergence of the algorithm is proved for linear receivers, and is demonstrated via simulation for the multiuser maximum likelihood detector. Moreover, the performance of the algorithm in finite-size systems is studied and compared with that of a conventional power control scheme, in which user powers depend on the instantaneous spreading sequences.

Original language	English (US)
Pages (from-to)	1208-1216
Number of pages	9
Journal	IEEE Transactions on Wireless Communications
Volume	7
Issue number	4
DOIs	https://doi.org/10.1109/TWC.2008.05667
State	Published - Apr 8 2008

All Science Journal Classification (ASJC) codes

Computer Science Applications
Electrical and Electronic Engineering
Applied Mathematics

Keywords

Code-division multiple access (CDMA)
Nash equilibrium
efficiency
energy
game theory
large systems
multiuser detection
multiuser efficiency
power control

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10.1109/TWC.2008.05667

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title = "A Unified Approach to Power Control in Large Energy-Constrained CDMA Systems",

abstract = "A unified approach to power control is proposed for maximizing utility in terms of energy efficiency in code-division multiple access (CDMA) networks. The approach is applicable to a large family of multiuser receivers including the matched filter, the decorrelator, the linear minimum mean-square error (MMSE) receiver, and the (nonlinear) optimal detectors. It exploits the linear relationship between the transmit power and the output signal-to-interference-plus-noise ratio (SIR) for each user in the large-system limit. Suppose that each user seeks to selfishly maximize its own energy efficiency, a unique Nash equilibrium is shown to exist and be SIR-balanced, thus extending a previous result on linear receivers. A unified power control algorithm for reaching the Nash equilibrium is proposed, which adjusts transmit powers iteratively by computing the large-system multiuser efficiency, which is independent of instantaneous spreading sequences. The convergence of the algorithm is proved for linear receivers, and is demonstrated via simulation for the multiuser maximum likelihood detector. Moreover, the performance of the algorithm in finite-size systems is studied and compared with that of a conventional power control scheme, in which user powers depend on the instantaneous spreading sequences.",

keywords = "Code-division multiple access (CDMA), Nash equilibrium, efficiency, energy, game theory, large systems, multiuser detection, multiuser efficiency, power control",

author = "Farhad Meshkati and Dongning Guo and Poor, {H. Vincent} and Schwartz, {Stuart C.}",

note = "Funding Information: Manuscript received August 29, 2005; revised March 25, 2007; accepted November 12, 2007. The associate editor coordinating the review of this paper and approving it for publication was M. Sawahashi. This research was supported by the National Science Foundation under Grants ANI-03-38807 and CCF-0644344, as well as by DARPA under Grant W911NF-07-1-0028. Parts of this work were presented at the 2nd International Workshop on Signal Processing for Wireless Communications (SPWC{\textquoteright}04), King{\textquoteright}s College London, in June 2004, and at the 43rd Annual Allerton Conference on Communication, Control and Computing, University of Illinois at Urbana-Champaign, in September 2005.",

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AU - Poor, H. Vincent

AU - Schwartz, Stuart C.

N1 - Funding Information: Manuscript received August 29, 2005; revised March 25, 2007; accepted November 12, 2007. The associate editor coordinating the review of this paper and approving it for publication was M. Sawahashi. This research was supported by the National Science Foundation under Grants ANI-03-38807 and CCF-0644344, as well as by DARPA under Grant W911NF-07-1-0028. Parts of this work were presented at the 2nd International Workshop on Signal Processing for Wireless Communications (SPWC’04), King’s College London, in June 2004, and at the 43rd Annual Allerton Conference on Communication, Control and Computing, University of Illinois at Urbana-Champaign, in September 2005.

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AB - A unified approach to power control is proposed for maximizing utility in terms of energy efficiency in code-division multiple access (CDMA) networks. The approach is applicable to a large family of multiuser receivers including the matched filter, the decorrelator, the linear minimum mean-square error (MMSE) receiver, and the (nonlinear) optimal detectors. It exploits the linear relationship between the transmit power and the output signal-to-interference-plus-noise ratio (SIR) for each user in the large-system limit. Suppose that each user seeks to selfishly maximize its own energy efficiency, a unique Nash equilibrium is shown to exist and be SIR-balanced, thus extending a previous result on linear receivers. A unified power control algorithm for reaching the Nash equilibrium is proposed, which adjusts transmit powers iteratively by computing the large-system multiuser efficiency, which is independent of instantaneous spreading sequences. The convergence of the algorithm is proved for linear receivers, and is demonstrated via simulation for the multiuser maximum likelihood detector. Moreover, the performance of the algorithm in finite-size systems is studied and compared with that of a conventional power control scheme, in which user powers depend on the instantaneous spreading sequences.

KW - Code-division multiple access (CDMA)

KW - Nash equilibrium

KW - efficiency

KW - energy

KW - game theory

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KW - power control

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JF - IEEE Transactions on Wireless Communications

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ER -

A Unified Approach to Power Control in Large Energy-Constrained CDMA Systems

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