2019
DOI: 10.1007/978-3-030-30149-1_5
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An Optimal Power Allocation for D2D Communications over Multi-user Cellular Uplink Channels

Abstract: Full bibliographic details must be given when referring to, or quoting from full items including the author's name, the title of the work, publication details where relevant (place, publisher, date), pagination, and for theses or dissertations the awarding institution, the degree type awarded, and the date of the award.

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Cited by 1 publication
(2 citation statements)
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References 16 publications
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“…As it can be seen in [32], it is necessary to consider the distance between all involved devices. The Rayleigh channel [33] coefficients are found from these distances and the gains are calculated using these coefficients.…”
Section: Power Allocationmentioning
confidence: 99%
See 1 more Smart Citation
“…As it can be seen in [32], it is necessary to consider the distance between all involved devices. The Rayleigh channel [33] coefficients are found from these distances and the gains are calculated using these coefficients.…”
Section: Power Allocationmentioning
confidence: 99%
“…where G is called a Z-matrix [12,13] because all of its off-diagonal elements are non-positive, p is the vector of powers, n is the vector that relates the instantaneous SINR with the variance, and p max is the maximum power. According to Lemma 1 in [32], if matrix G defined in Equation (11) satisfies Equation ( 15), then a unique lower bound for the power allocation is given by Equation ( 16), satisfying the condition p min ⪯ p max . Thus, p min represents the optimal solution to the power allocation optimization problem.…”
Section: Power Allocationmentioning
confidence: 99%