On the Convergence of Max-Min Fairness Power Allocation in Massive MIMO Systems

Chaves, Rafael S.; Cetin, Ediz; Lima, Markus V. S.; Martins, Wallace A.

doi:10.1109/lcomm.2020.3014942

Cited by 7 publications

(9 citation statements)

References 9 publications

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“…The main contribution of this section is to show that a solution to Problem (2) can be obtained by solving a single system of linear equations that can be easily constructed with the problem parameters. The resulting system does not require, for example, the bisection method for its construction, as done in [8], [9] to solve a particular instance of Problem (2).…”

Section: B Optimal Solutionmentioning

confidence: 99%

“…5.3.2], [4] [5,Ch. 7] [10, Theorem 7.1], [8], [9] as particular instances, the optimal power allocation can be seen as the fixed point of an affine mapping, and the power constraint is a polyhedral set. By exploiting this structure and the results in [18], Section II presents a simple expression for a solution to this class of problems.…”

Section: Introductionmentioning

confidence: 99%

“…By exploiting this structure and the results in [18], Section II presents a simple expression for a solution to this class of problems. In particular, we show that the limit point (i.e., the optimal power allocation) sought by some existing iterative power control algorithms can be straightforwardly obtained by computing the spectral radius of known matrices and by solving only one system of linear equations that, unlike the approaches in [8], [9], do not require the bisection method for its construction. We also specialize the bounds in [18] to gain insights into the expression of the optimal utility.…”

Section: Introductionmentioning

confidence: 99%

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Closed-form max-min power control for some cellular and cell-free massive MIMO networks

Miretti¹,

Cavalcante²,

Stańczak³

et al. 2022

Preprint

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Many common instances of power control problems for cellular and cell-free massive MIMO networks can be interpreted as max-min utility optimization problems involving affine interference mappings and polyhedral constraints. We show that these problems admit a closed-form solution which depends on the spectral radius of known matrices. In contrast, previous solutions in the literature have been indirectly obtained using iterative algorithms based on the bisection method, or on fixedpoint iterations. Furthermore, we also show an asymptotically tight bound for the optimal utility, which in turn provides a simple rule of thumb for evaluating whether the network is operating in the noise or interference limited regime. We finally illustrate our results by focusing on classical max-min fair power control for cell-free massive MIMO networks.

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Section: B Optimal Solutionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Closed-form max-min power control for some cellular and cell-free massive MIMO networks

Miretti¹,

Cavalcante²,

Stańczak³

et al. 2022

Preprint

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“…The max-min fairness power allocation technique aims to maximize the worst SINR among all users (Chaves et al, 2020). This method is used for various performance improvements in Massive MIMO systems (C. W. Tan, 2014;Van Chien et al, 2016Yang & Marzetta, 2017).…”

Section: Max-min Fairness Power Allocationmentioning

confidence: 99%

“…This method is used for various performance improvements in Massive MIMO systems (C. W. Tan, 2014;Van Chien et al, 2016Yang & Marzetta, 2017). The basic mathematical operation of the max-min fairness power allocation method can be written as follows, similar to the work in (Chaves et al, 2020).…”

Section: Max-min Fairness Power Allocationmentioning

confidence: 99%

Power Allocation Algorithms for Massive MIMO System

Dikmen¹,

Kulac²

2021

European Journal of Science and Technology

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Massive multiple-input multiple-output (MIMO) is still valid as an important system to increase performance of fifth generation (5G) and beyond wireless communication technologies. Spectrum efficiency (SE), high data rate and energy efficiency (EE) are among these performances. Recently, due to the increase in interconnected devices, the spread of internet of things (IoT) systems and the limited resources, various performance improvements have become inevitable. It is seen that there are various studies to realize such improvements with Massive MIMO. There are many researches especially for spectrum efficiency and energy efficiency. Because issue of energy and bandwidth problem are among the issues that need to be solved and developed first. In recent years, it is understood that power allocation algorithms have been focused on solving these two problems. In this study, researches on power allocation algorithms for MIMO systems are examined. The main points of the studies are emphasized. In addition, the comparison of three different power allocation algorithms, which will be among the basic power allocation algorithms, are carried out in terms of spectrum efficiency.

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