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Optimal User-Cell Association for Massive MIMO Wireless Networks (1407.6731v2)

Published 24 Jul 2014 in cs.NI and cs.GT

Abstract: The use of a very large number of antennas at each base station site (referred to as "Massive MIMO") is one of the most promising approaches to cope with the predicted wireless data traffic explosion. In combination with Time Division Duplex and with simple per-cell processing, it achieves large throughput per cell, low latency, and attractive power efficiency performance. Following the current wireless technology trend of moving to higher frequency bands and denser small cell deployments, a large number of antennas can be implemented within a small form factor even in small cell base stations. In a heterogeneous network formed by large (macro) and small cell BSs, a key system optimization problem consists of "load balancing", that is, associating users to BSs in order to avoid congested hot-spots and/or under-utilized infrastructure. In this paper, we consider the user-BS association problem for a massive MIMO heterogeneous network. We formulate the problem as a network utility maximization, and provide a centralized solution in terms of the fraction of transmission resources (time-frequency slots) over which each user is served by a given BS. Furthermore, we show that such a solution is physically realizable, i.e., there exists a sequence of integer scheduling configurations realizing (by time-sharing) the optimal fractions. While this solution is optimal, it requires centralized computation. Then, we also consider decentralized user-centric schemes, formulated as non-cooperative games where each user makes individual selfish association decisions based only on its local information. We identify a class of schemes such that their Nash equilibrium is very close to the global centralized optimum. Hence, these user-centric algorithms are attractive not only for their simplicity and fully decentralized implementation, but also because they operate near the system "social" optimum.

Citations (167)

Summary

  • The paper formulates the user-cell association challenge as a network utility maximization problem and leverages massive MIMO to achieve a convex optimization framework.
  • It introduces a decentralized, user-centric scheme that reaches near-optimal performance similar to centralized sub-gradient algorithms under high network loads.
  • Simulation results reveal that the proposed methods improve throughput and load balancing compared to heuristic association strategies in practical 5G networks.

Optimal User-Cell Association for Massive MIMO Wireless Networks

The paper under investigation examines the sophisticated problem of user-cell association in heterogeneous wireless networks that utilize massive Multiple-Input-Multiple-Output (MIMO) technology. With the exponential growth in wireless data traffic and the advent of 5G networks, optimizing user association to base stations is crucial for preventing congestion and efficiently utilizing the wireless infrastructure.

Key Contributions and Methodology

The paper offers a comprehensive formulation of the user-cell association problem by conceptualizing it as a Network Utility Maximization (NUM) problem. The network utility function, a function of long-term average user rates, strives to balance overall performance and user fairness. A significant insight is the recognition that massive MIMO systems can simplify the problem, rendering it convex, which is amenable to centralized sub-gradient algorithms. The optimization of activity fractions between user-base station (BS) pairs is shown not only to be computationally feasible but also physically realizable—there exists a scheduling sequence that can achieve optimal activity fractions closely.

The authors also propose a decentralized user-centric scheme akin to a non-cooperative association game, wherein users autonomously alter their cell associations based on comparative utility gains. It is demonstrated that pure-strategy Nash equilibria in this game are proximal to the global optimal solution of the centralized problem. The paper provides that under high network loads, if the centralized global optimum results in unique user association to base stations, this association aligns with the Nash equilibrium. This implies that the decentralized user-centric algorithm provides near-optimal performance while being straightforward in its implementation.

Numerical Findings

The paper compares centralized and decentralized approaches and examines their effectiveness against a heuristic peak-rate association scheme. Simulations involving varied network topologies reveal the decentralized user-centric algorithm performs comparably to the centralized solution, evidencing superior 5% percentile throughput and geometric mean throughput relative to heuristic schemes. Gains in load balancing across macro and small base stations further affirm the practical utility of the proposed algorithms.

Theoretical and Practical Implications

The exploration of both centralized and decentralized strategies is pivotal for real-world applications where centralized coordination may be infeasible due to infrastructure constraints or operational costs. By proving the physical realizability of the NUM solution and illustrating the efficacy of decentralized schemes, the paper holds substantial potential for practical implementation in large-scale 5G networks—a field where massive MIMO is expected to dominate.

Future Prospects

Looking forward, the paper sets the stage for further research on optimizing these algorithms for dynamic environments with evolving user distributions and properties. Future work could explore more nuanced game-theoretic models or investigate optimal pilot allocation strategies to mitigate interference and enhance SINR. Additionally, the robustness of these decentralized algorithms in the face of non-stationary network conditions poses an intriguing area for exploration.

In conclusion, this paper contributes a significant step forward in tackling the complex user-cell association challenge in the next generation of wireless networks, efficiently leveraging massive MIMO's potential to significantly boost spectral efficiency while maintaining fairness across users.