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A gametheoretic approach to energyefficient power control in multicarrier CDMA systems
 IEEE Journal on Selected Areas in Communications (JSAC
, 2006
"... Abstract—A gametheoretic model for studying power control in multicarrier codedivision multipleaccess systems is proposed. Power control is modeled as a noncooperative game in which each user decides how much power to transmit over each carrier to maximize its own utility. The utility function co ..."
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Cited by 89 (8 self)
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Abstract—A gametheoretic model for studying power control in multicarrier codedivision multipleaccess systems is proposed. Power control is modeled as a noncooperative game in which each user decides how much power to transmit over each carrier to maximize its own utility. The utility function considered here measures the number of reliable bits transmitted over all the carriers per joule of energy consumed and is particularly suitable for networks where energy efficiency is important. The multidimensional nature of users ’ strategies and the nonquasiconcavity of the utility function make the multicarrier problem much more challenging than the singlecarrier or throughputbasedutility case. It is shown that, for all linear receivers including the matched filter, the decorrelator, and the minimummeansquareerror detector, a user’s utility is maximized when the user transmits only on its “best ” carrier. This is the carrier that requires the least amount of power to achieve a particular target signaltointerferenceplusnoise ratio at the output of the receiver. The existence and uniqueness of Nash equilibrium for the proposed power control game are studied. In particular, conditions are given that must be satisfied by the channel gains for a Nash equilibrium to exist, and the distribution of the users among the carriers at equilibrium is characterized. In addition, an iterative and distributed algorithm for reaching the equilibrium (when it exists) is presented. It is shown that the proposed approach results in significant improvements in the total utility achieved at equilibrium compared with a singlecarrier system and also to a multicarrier system in which each user maximizes its utility over each carrier independently. Index Terms—Energy efficiency, game theory, multicarrier codedivision multipleaccess (CDMA), multiuser detection, Nash equilibrium, power control, utility function. I.
BAn energyefficient approach to power control and receiver design in wireless data networks,[
 IEEE Trans. Commun.,
, 2005
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A repeated game formulation of energyefficient decentralized power control
 IEEE TRANS. ON WIRELESS COMMUNICATIONS
, 2010
"... Decentralized multiple access channels where each transmitter wants to selfishly maximize his transmission energyefficiency are considered. Transmitters are assumed to choose freely their power control policy and interact (through multiuser interference) several times. It is shown that the correspo ..."
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Cited by 18 (7 self)
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Decentralized multiple access channels where each transmitter wants to selfishly maximize his transmission energyefficiency are considered. Transmitters are assumed to choose freely their power control policy and interact (through multiuser interference) several times. It is shown that the corresponding conflict of interest can have a predictable outcome, namely a finitely or discounted repeated game equilibrium. Remarkably, it is shown that this equilibrium is Paretoefficient under reasonable sufficient conditions and the corresponding decentralized power control policies can be implemented under realistic information assumptions: only individual channel state information and a public signal are required to implement the equilibrium strategies. Explicit equilibrium conditions are derived in terms of minimum number of game stages or maximum discount factor. Both analytical and simulation results are provided to compare the performance of the proposed power control policies with those already existing and exploiting the same information assumptions namely, those derived for the oneshot and Stackelberg games.
Joint receiver and transmitter optimization for energyefficient CDMA communications
 IEEE J. Sel. Areas Commun., Special Issue on Multiuser Detection for Advanced Communications Systems and Networks
, 2008
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MarketDriven Dynamic Spectrum Allocation: Optimal EndUser Pricing and Admission Control for CDMA
 Proc. of 14th IST Mobile & Wireless Communications
, 2005
"... Abstract — Dynamic spectrum allocation (DSA) seeks to exploit the variations in the loads of various radioaccess networks to allocate the spectrum efficiently. Previous work studies a centralised scheme in which a spectrum manager periodically reallocates spectrum without business considerations ..."
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Cited by 13 (3 self)
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Abstract — Dynamic spectrum allocation (DSA) seeks to exploit the variations in the loads of various radioaccess networks to allocate the spectrum efficiently. Previous work studies a centralised scheme in which a spectrum manager periodically reallocates spectrum without business considerations. In the present scheme, a spectrum manager performs DSA by periodically selling to network operators shortterm spectrum licenses. We target a CDMAbased radioaccess technology, and delaytolerant data applications of various data rates, on the downlink. We solve analytically the problem of the network operator, which must decide simultaneously how much spectrum to purchase, and how to charge its own utilitymaximising customers in a way that encourages efficient usage, and maximises the operator’s profit. We identify a specific operating point consistent with the interests of both the operator and its customers. With linear spectrum costs, and convenient units of measurement, the operator declines to serve a terminal when a product of known parameters is less than one. I.
Auction driven dynamic spectrum allocation: optimal bidding, pricing and service priorities for multirate, multiclass CDMA
 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications (PIMRC
"... Abstract — Dynamic spectrum allocation (DSA) seeks to exploit the variations in the loads of various radioaccess networks to allocate the spectrum efficiently. Here, a spectrum manager implements DSA by periodically auctioning shortterm spectrum licenses. We solve analytically the problem of the ..."
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Cited by 13 (2 self)
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Abstract — Dynamic spectrum allocation (DSA) seeks to exploit the variations in the loads of various radioaccess networks to allocate the spectrum efficiently. Here, a spectrum manager implements DSA by periodically auctioning shortterm spectrum licenses. We solve analytically the problem of the operator of a CDMA cell populated by delaytolerant terminals operating at various data rates, on the downlink, and representing users with dissimilar “willingness to pay ” (WtP). WtP is the most a user would pay for a correctly transferred information bit. The operator finds a revenuemaximising internal pricing and a service priority policy, along with a bid for spectrum. Our clear and specific analytical results apply to a wide variety of physical layer configurations. The optimal operating point can be easily obtained from the framesuccess rate function. At the optimum, (with a convenient time scale) a terminal’s contribution to revenues is the product of its WtP by its data rate; and the product of its WtP by its channel gain determines its service priority ("revenue per Hertz"). Assuming a secondprice auction, the operator’s optimal bid for a certain spectrum band equals the sum of the individual revenue contributions of the additional terminals that could be served, if the band is won. I.
A noncooperative power control game for multicarrier CDMA systems
 In Proc. IEEE Wireless Communications and Networking Conference (WCNC
, 2005
"... A gametheoretic model for studying power control in multicarrier CDMA systems is proposed. Power control is modeled as a noncooperative game in which each user must decide how much power to transmit over each carrier to maximize its own utility. The utility function considered here measures the n ..."
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Cited by 9 (1 self)
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A gametheoretic model for studying power control in multicarrier CDMA systems is proposed. Power control is modeled as a noncooperative game in which each user must decide how much power to transmit over each carrier to maximize its own utility. The utility function considered here measures the number of reliable bits transmitted over all the carriers per joule of energy consumed and is particularly suitable for networks where energy efficiency is important. The multidimensional nature of users ’ strategies and nonquasiconcavity of the utility function make the multicarrier problem much more challenging than the singlecarrier case. It is shown that, for all linear receivers including the matched filter, decorrelating and minimum mean square error (MMSE) detectors, a user’s utility is maximized when the user transmits only on its “best ” carrier. This is the carrier that requires the least amount of power to achieve a particular target signal to interference plus noise ratio (SIR) at the output of the receiver. The existence and uniqueness of Nash equilibrium for the proposed power control game are studied. In particular, we give conditions that must be satisfied by the channel gains for a Nash equilibrium to exist and also characterize the distribution of the users among the carriers at equilibrium. In addition, an iterative and distributed algorithm for reaching the equilibrium (when it exists) is presented. It is shown that the proposed approach results in a significant improvement in the total utility achieved at equilibrium compared to the case in which each user maximizes its utility over each carrier independently.
A noncooperative power control game in delayconstrained multipleaccess networks
 Proceedings of the IEEE International Symposium on Information Theory (ISIT
, 2005
"... Abstract — A gametheoretic approach for studying power control in multipleaccess networks with transmission delay constraints is proposed. A noncooperative power control game is considered in which each user seeks to choose a transmit power that maximizes its own utility while satisfying the user ..."
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Cited by 7 (6 self)
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Abstract — A gametheoretic approach for studying power control in multipleaccess networks with transmission delay constraints is proposed. A noncooperative power control game is considered in which each user seeks to choose a transmit power that maximizes its own utility while satisfying the user’s delay requirements. The utility function measures the number of reliable bits transmitted per joule of energy and the user’s delay constraint is modeled as an upper bound on the delay outage probability. The Nash equilibrium for the proposed game is derived, and its existence and uniqueness are proved. Using a largesystem analysis, explicit expressions for the utilities achieved at equilibrium are obtained for the matched filter, decorrelating and minimum mean square error multiuser detectors. The effects of delay constraints on the users ’ utilities (in bits/Joule) and network capacity (i.e., the maximum number of users that can be supported) are quantified. I.
Optimal Coding Rate and Power Allocation for the Streaming of Scalably Encoded Video over a Wireless Link
"... Scalably encoded information results in files which can be truncated at an arbitrary point and decoded, as supported by the JPEG2000 (image) and MPEG4 (video) standards. This work introduces a tractable, yet flexible analytical model for resource management involving scalably encoded video. Each ..."
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Cited by 5 (2 self)
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Scalably encoded information results in files which can be truncated at an arbitrary point and decoded, as supported by the JPEG2000 (image) and MPEG4 (video) standards. This work introduces a tractable, yet flexible analytical model for resource management involving scalably encoded video. Each segment of video of a predetermined length yields a file that can be truncated and decoded independently of other segments. The problem is set up as a joint optimization of transmission power, and coding rate (where to truncate ?). The analysis reveals that any one of these variables uniquely determines the other. The terminal should truncate the file at the point that maximizes quality per unit of power employed.