A framework for uplink power control in cellular radio systems
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Cites background from "A framework for uplink power contro..."
..., [24]), from the classical received-power equalization in code-division multiple-access (CDMA) systems to the Foschini–Miljanic power control [25] and its many extensions....
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1,612 citations
Cites background from "A framework for uplink power contro..."
...For example, [122] considers this model for mobile ad-hoc networks, and [43] [66] [35] [93] [127] [128] [129] [31] [167] [123] [124] [171] for static ad-hoc networks and cellular systems....
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...While distributed algorithms exist for computing the rate associated with a particular power allocation, and for determining if a power allocation exists that leads to a given set of link rates [167] [171], there are no known low complexity algorithms for nding the power vectors that optimize the performance metrics required for optimal network control....
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1,416 citations
Cites background or methods from "A framework for uplink power contro..."
...The key aspect of the uniqueness proof is to realize that the best-response correspondence is a standardfunction [1]....
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...It is shown in [1] that the fixed point is unique for a standard function....
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...It is well known that minimizing interference using power control increases capacity [1]–[3] and also extends battery life....
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...at the equal-SIR NPG equilibrium is similar to the solutions offered by power control algorithms for speech communications [1], [2], [17]....
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1,352 citations
References
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"A framework for uplink power contro..." refers background in this paper
...[19], Zander [20], and Foschini and Miljanic [12] use p(t + 1) = IFA(p(t))to solve the subproblem of nding a feasible power vector p....
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...[19], Zander [20], and Foschini and Miljanic [12] use p(t + 1) = IFA(p(t)) to solve the subproblem of nding a feasible power vector p....
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...[12] G.J. G.J. Foschini and Z. Miljanic....
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1,423 citations
"A framework for uplink power contro..." refers background or methods in this paper
...16 References[1] D. P. Bertsekas and J. N. Tsitsiklis....
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...4 Asynchronous Power Control In this section, we examine an asynchronous version of the standard power control algorithm using the totally asynchronous algorithm model of Bertsekas and Tsitsiklis [1]....
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...Convergence of the totally asynchronous standard power control algorithm will be proven by the Asynchronous Convergence Theorem from [1] as stated below in Theorem 3....
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...These properties imply that an iterative power control algorithm converges not only synchronously but also totally asynchronously [1] when users perform power adjustments with outdated or incorrect interference measurements....
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...1 In(z) = p and the claim follows.2 We have shown that for any initial power vector p, the standard power controlalgorithm converges to a unique xed point whenever a feasible solution exists.4 Asynchronous Power ControlIn this section, we examine an asynchronous version of the standard power controlalgorithm using the totally asynchronous algorithm model of Bertsekas and Tsitsiklis[1]....
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1,256 citations