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Joint Downlink Cell Association and Bandwidth Allocation for Wireless Backhauling in Two-Tier HetNets with Large-Scale Antenna Arrays (1501.00078v1)

Published 31 Dec 2014 in cs.NI, cs.IT, and math.IT

Abstract: The problem of joint downlink cell association (CA) and wireless backhaul bandwidth allocation (WBBA) in two-tier cellular heterogeneous networks (HetNets) is considered. Large-scale antenna array is implemented at the macro base station (BS), while the small cells within the macro cell range are single-antenna BSs and they rely on over-the-air links to the macro BS for backhauling. A sum logarithmic user rate maximization problem is investigated considering wireless backhauling constraints. A duplex and spectrum sharing scheme based on co-channel reverse time-division duplex (TDD) and dynamic soft frequency reuse (SFR) is proposed for interference management in two-tier HetNets with large-scale antenna arrays at the macro BS and wireless backhauling for small cells. Two in-band WBBA scenarios, namely, unified bandwidth allocation and per-small-cell bandwidth allocation scenarios, are investigated for joint CA-WBBA in the HetNet. A two-level hierarchical decomposition method for relaxed optimization is employed to solve the mixed-integer nonlinear program (MINLP). Solutions based on the General Algorithm Modeling System (GAMS) optimization solver and fast heuristics are also proposed for cell association in the per-small-cell WBBA scenario. It is shown that when all small cells have to use in-band wireless backhaul, the system load has more impact on both the sum log-rate and per-user rate performance than the number of small cells deployed within the macro cell range. The proposed joint CA-WBBA algorithms have an optimal load approximately equal to the size of the large-scale antenna array at the macro BS. The cell range expansion (CRE) strategy, which is an efficient cell association scheme for HetNets with perfect backhauling, is shown to be inefficient when in-band wireless backhauling for small cells comes into play.

Citations (191)

Summary

  • The paper introduces a hierarchical optimization framework for joint downlink cell association and wireless backhaul bandwidth allocation to enhance user rate fairness and overall throughput.
  • It employs a two-level decomposition method with distributed Lagrangian duality for efficient cell association and bandwidth allocation under in-band wireless backhauling constraints.
  • Simulation results demonstrate significant performance improvements over traditional SINR-based and cell range expansion methods by optimizing load balancing between macro and small cell tiers.

Overview of Joint Downlink Cell Association and Bandwidth Allocation in Two-Tier HetNets with Large-Scale Antenna Arrays

The paper investigates the intricate problem of joint downlink cell association (CA) and wireless backhaul bandwidth allocation (WBBA) in two-tier heterogeneous cellular networks (HetNets), focusing on the deployment of large-scale antenna arrays at macro base stations (BS). This setup characterizes the next-generation cellular networks, specifically considering 5G deployments, where efficient resource allocation and interference management are of utmost importance due to dense deployments and heterogeneous hardware capabilities.

Problem Formulation and Objectives

The primary objective of the research is to maximize the sum of logarithmic user rates—a metric offering a compromise between total throughput and user fairness—under the constraints imposed by in-band wireless backhauling for small cells. The problem is mathematically modeled as a mixed-integer nonlinear program (MINLP), considering two distinct bandwidth allocation strategies: unified WBBA, where a common bandwidth fraction is shared, and per-small-cell WBBA, where each small cell adjusts its bandwidth. The constraints of each model incorporate not only the physical layer characteristics but also backhaul limitations that impact the end-user service quality.

Methodology and Algorithms

To solve the complex CA-WBBA problem, particularly under the unified WBBA scenario, a two-level hierarchical decomposition method is proposed. This approach decomposes the problem into an inner cell association subproblem and an outer bandwidth allocation optimization problem. The inner problem, focusing on cell association, is further broken down using Lagrangian duality, facilitating a distributed algorithm that strategically manages MT associations to different tiers of the network while respecting backhaul and interference constraints. For the per-small-cell WBBA scenario, a heuristic approach based on macro BS offloading is introduced alongside the distributed method. The heuristic aims to reduce computational complexity and operates under the premise of balancing load between macro and small cell tiers.

Results and Analysis

Theoretical and simulation results demonstrate that joint CA-WBBA significantly enhances network performance compared to traditional SINR-based association strategies and even the cell range expansion methods that assume perfect backhauling. By leveraging macro BS capabilities and optimizing backhaul resources dynamically, the system can maintain an optimal load akin to the macro BS's antenna count, optimizing both resource usage and user service quality.

Implications and Future Directions

The findings underscore the critical role of integrated wireless backhaul management in emerging 5G networks, suggesting that future research should continue exploring dynamic resource sharing and optimization techniques. Further exploration into the scalability of these approaches, especially in scenarios with more dense small cell deployments or in-band backhaul restrictions, could reveal additional insights. Additionally, the interaction of large-scale MIMO capabilities with advanced interference management schemes presents a fertile ground for future investigation, particularly concerning real-time adaptability in dynamic network environments.

In conclusion, the paper provides a comprehensive optimization framework that addresses the synthesis of cell association and backhaul bandwidth allocation in modern heterogeneous networks, paving the way for efficient and scalable network designs suited for the high demands of next-generation mobile communications.