Analysis of a class of distributed asynchronous power control algorithms for cellular wireless systems

Herdtner, Jeffrey David; Chong, Edwin K. P.

doi:10.1109/49.840202

Cited by 65 publications

(67 citation statements)

References 18 publications

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“…Bandwidth constrained optimization has already received attention in the literature [15]- [20]. Initial studies are found in [15], where Tsitsiklis and Luo provide lower bounds on the number of bits that two processors need to communicate to (approximately) minimize the sum of two convex functions each of which is only accessed by one processor.…”

Section: A Related Literaturementioning

confidence: 99%

“…Similar quantization ideas are considered [17]- [19] in the context of consensus-type subgradient methods [22]. The work in [20] studies the convergence of standard interference function methods for power control in cellular wireless systems where base stations send binary signals to the users optimizing the transmit radio power. Those papers consider only the original primal optimization problem, without introducing its dual problem, where quantized primal variables are communicated.…”

Section: A Related Literaturementioning

confidence: 99%

“…Step 1: We prove by induction that Equation (20) holds for all t ≥ T . When t = T then Equation (20) holds because f (x(T )) ≤F α ( ) by definition ofF α , see Equation (21).…”

Section: Appendix E Proof Of Lemmamentioning

confidence: 99%

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Convergence of Limited Communication Gradient Methods

Magnússon

Enyioha

et al. 2018

IEEE Trans. Automat. Contr.

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Abstract-Distributed optimization increasingly plays a central role in economical and sustainable operation of cyber-physical systems. Nevertheless, the complete potential of the technology has not yet been fully exploited in practice due to communication limitations posed by the real-world infrastructures. This work investigates fundamental properties of distributed optimization based on gradient methods, where gradient information is communicated using limited number of bits. In particular, a general class of quantized gradient methods are studied where the gradient direction is approximated by a finite quantization set. Sufficient and necessary conditions are provided on such a quantization set to guarantee that the methods minimize any convex objective function with Lipschitz continuous gradient and a nonempty and bounded set of optimizers. A lower bound on the cardinality of the quantization set is provided, along with specific examples of minimal quantizations. Convergence rate results are established that connect the fineness of the quantization and the number of iterations needed to reach a predefined solution accuracy. Generalizations of the results to a relevant class of constrained problems using projections are considered. Finally, the results are illustrated by simulations of practical systems.

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Section: A Related Literaturementioning

confidence: 99%

Section: A Related Literaturementioning

confidence: 99%

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Convergence of Limited Communication Gradient Methods

Magnússon

Enyioha

et al. 2018

IEEE Trans. Automat. Contr.

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“…The result without the Smith predictor is provided in (Herdtner and Chong, 2000), while the result with the Smith predictor is from (Gunnarsson, 2000;Gunnarsson and Gustafsson, 2001a).…”

Section: Proofmentioning

confidence: 99%

“…The concept has been adopted from Herdtner and Chong (2000), where similar proofs of similar and additional theorems covering related situations also are provided. Herdtner and Chong used the term feasibility index R I and omitted auto-interference.…”

Section: Performance Upper Bounds and Feasibilitymentioning

confidence: 99%

Power Control in Wireless Communications Networks - From a Control Theory Perspective

Gunnarsson

Gustafsson

2002

IFAC Proceedings Volumes

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The global communications systems critically rely on control algorithms of various kinds. In wireless communications systems, power control algorithms play an important role for efficient resource utilization. This survey article discusses relevant aspects of power control with emphasis on practical issues, using an automatic control framework. Generally, power control of each connection is distributedly implemented as cascade control, with an inner loop to compensate for fast variations and an outer loop focusing on longer term statistics. These control loops are interrelated via complex connections, which affect important issues such as capacity, load and stability. Therefore, both local and global properties are important. The concepts and algorithms are illustrated by simple examples and simulations. Abstract: The global communications systems critically rely on control algorithms of various kinds. In wireless communications systems, power control algorithms play an important role for efficient resource utilization. This survey article discusses relevant aspects of power control with emphasis on practical issues, using an automatic control framework. Generally, power control of each connection is distributedly implemented as cascade control, with an inner loop to compensate for fast variations and an outer loop focusing on longer term statistics. These control loops are interrelated via complex connections, which affect important issues such as capacity, load and stability. Therefore, both local and global properties are important. The concepts and algorithms are illustrated by simple examples and simulations.

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Interference Management

Liu¹,

Sheng²,

Li³

2019

Wiley 5G Ref

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The fifth‐generation (5G) mobile system is expected to be compatible with numerous network architectures and communication technologies. Despite the promising potential, reuse of the available spectral resources would inevitably result in complicated and overwhelming interference, which is shown as one of the most limiting factors to the 5G system performance. Therefore, designing and implementing more efficient interference management is of great importance in 5G. On this account we first investigate the impact of interference, which grows with the densification of users and network infrastructures, on the performance of the 5G cellular network in terms of area spectral efficiency (ASE). Then, we provide an overview of the state‐of‐the‐art interference management techniques and discuss the potentials and demerits of application of these techniques. Especially, we have shown that the interference power would always overwhelm the desired signal power when available interference management approaches are applied. Therefore, it is critical to jointly control desired signal power and interference power for better interference management. On this account, we have designed an activation probability–based interference avoidance strategy and verified through simulation that the proposed strategy could notably improve ASE for the 5G cellular network. In particular, the ASE could even increase with the increasing density of base stations in the dense BS regime. Otherwise, the ASE will approach zero when other interference management techniques are applied.

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Analysis of a class of distributed asynchronous power control algorithms for cellular wireless systems

Cited by 65 publications

References 18 publications

Convergence of Limited Communication Gradient Methods

Convergence of Limited Communication Gradient Methods

Power Control in Wireless Communications Networks - From a Control Theory Perspective

Interference Management

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