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Downlink and Uplink Energy Minimization Through User Association and Beamforming in Cloud RAN (1402.4238v2)

Published 18 Feb 2014 in cs.IT and math.IT

Abstract: The cloud radio access network (C-RAN) concept, in which densely deployed access points (APs) are empowered by cloud computing to cooperatively support mobile users (MUs), to improve mobile data rates, has been recently proposed. However, the high density of active ("on") APs results in severe interference and also inefficient energy consumption. Moreover, the growing popularity of highly interactive applications with stringent uplink (UL) requirements, e.g. network gaming and real-time broadcasting by wireless users, means that the UL transmission is becoming more crucial and requires special attention. Therefore in this paper, we propose a joint downlink (DL) and UL MU-AP association and beamforming design to coordinate interference in the C-RAN for energy minimization, a problem which is shown to be NP hard. Due to the new consideration of UL transmission, it is shown that the two state-of-the-art approaches for finding computationally efficient solutions of joint MU-AP association and beamforming considering only the DL, i.e., group-sparse optimization and relaxed-integer programming, cannot be modified in a straightforward way to solve our problem. Leveraging on the celebrated UL-DL duality result, we show that by establishing a virtual DL transmission for the original UL transmission, the joint DL and UL optimization problem can be converted to an equivalent DL problem in C-RAN with two inter-related subproblems for the original and virtual DL transmissions, respectively. Based on this transformation, two efficient algorithms for joint DL and UL MU-AP association and beamforming design are proposed, whose performances are evaluated and compared with other benchmarking schemes through extensive simulations.

Citations (236)

Summary

  • The paper introduces a unified framework that jointly optimizes DL and UL user association and beamforming to reduce energy consumption in C-RANs.
  • By leveraging UL-DL duality, the study transforms UL beamforming challenges into an equivalent DL problem, ensuring efficient power allocation.
  • Using group-sparse optimization and relaxed-integer programming methods, the proposed algorithms balance power constraints and enhance network scalability.

Analyzing Energy Minimization Strategies in Cloud Radio Access Networks

The paper presents a paper on energy minimization in Cloud Radio Access Networks (C-RANs), evaluating both downlink (DL) and uplink (UL) scenarios. C-RANs aim to enhance mobile data rates through a dense network of access points (APs) empowered by cloud computing for collaborative user support. However, the increased density introduces significant interference and energy inefficiencies, exacerbated by applications requiring rigorous UL performance. This investigation proposes a joint DL and UL user association and beamforming approach for energy reduction, addressing an NP-hard optimization problem.

The novel aspect of this work lies in considering UL transmissions alongside DL, diverging from existing methods focusing solely on DL. Two prevalent methods for solving joint user association and beamforming challenges—group-sparse optimization and relaxed-integer programming—were insufficient for the dual consideration of DL and UL issues due to scaling challenges in UL beamforming. Thus, the paper derives an innovative approach leveraging UL-DL duality to transform the joint DL and UL optimization into an equivalent DL problem.

Core Contributions

  1. Unified Energy Optimization Framework: The paper integrates DL and UL in optimizing user association and beamforming to minimize comprehensive energy consumption. This bi-directional approach offers insights into power allocation trade-offs between active APs and user terminals.
  2. Virtual DL Transmission for UL: By creating a virtual DL scenario for the UL, the problem is recast, enabling the use of established DL techniques. The UL-DL duality principles facilitate resolving UL problems through DL paradigms, absent previously due to power constraints delineated variances.
  3. Solution Algorithms: Two efficient algorithms were proposed—one based on group-sparse optimization (GSO) and the other on relaxed-integer programming (RIP). The GSO approach utilizes a mixed 1,2\ell_{1,2} norm penalty to achieve group sparsity in beamforming vectors. Contrastingly, RIP employs a branch-and-bound algorithm adapted to handle the joint DL-UL framework effectively.
  4. Price-Based Iterative Method: Addressing individual power constraints of user devices, the solution is innovated further by a price-based iterative scheme. This method ensures compliance with user power limits, enhancing feasibility and efficiency in energy consumption adjustments across the network.

Implications and Future Directions

The implications are twofold: practical, in terms of enabling scalable energy-efficient C-RAN deployments, and theoretical, providing a basis for integrating UL considerations in densely deployed networks. The findings suggest a scalable path to handle high loads without exacerbating the energy footprint.

Future research could explore refining these optimization algorithms, potentially extending into real-time scenarios where latency and rapid adaptability are critical. Additionally, the impact of integrating these mechanisms with other green communication strategies could be decisive for next-generation network infrastructures.

Conclusion

Through rigorous analysis and innovative problem formulation strategies, the paper significantly progresses in optimizing energy efficiency in C-RANs. By addressing both DL and UL needs and employing virtual transmission methodologies, it pioneers pathways for balancing energy constraints in high-density network environments.