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Dynamic User Clustering and Power Allocation for Uplink and Downlink Non-Orthogonal Multiple Access (NOMA) Systems (1608.01081v1)

Published 3 Aug 2016 in cs.IT and math.IT

Abstract: In this paper, first we briefly describe the differences in the working principles of uplink and downlink NOMA transmissions. Then, for both uplink and downlink NOMA, we formulate a sum-throughput maximization problem in a cell such that the user clustering (i.e., grouping users into a single cluster or multiple clusters) and power allocations in NOMA cluster(s) can be optimized under transmission power constraints, minimum rate requirements of the users, and SIC constraints. Due to the combinatorial nature of the formulated mixed integer non-linear programming (MINLP) problem, we solve the problem in two steps, i.e., by first grouping users into clusters and then optimizing their respective power allocations. In particular, we propose a low-complexity sub-optimal user grouping scheme. The proposed scheme exploits the channel gain differences among users in a NOMA cluster and group them into a single cluster or multiple clusters in order to enhance the sum-throughput of the system. For a given set of NOMA clusters, we then derive the optimal power allocation policy that maximizes the sum throughput per NOMA cluster and in turn maximizes the overall system throughput. Using KKT optimality conditions, closed-form solutions for optimal power allocations are derived for any cluster size, considering both uplink and downlink NOMA systems. Numerical results compare the performance of NOMA over orthogonal multiple access (OMA) and illustrate the significance of NOMA in various network scenarios.

Citations (691)

Summary

  • The paper introduces a low-complexity clustering algorithm that groups users by channel gain differences to maximize sum-throughput.
  • The paper derives closed-form power allocation policies using KKT conditions to effectively manage constraints and optimize system performance.
  • The paper validates the method with numerical simulations showing significant throughput improvements over traditional OMA systems.

Dynamic User Clustering and Power Allocation for Uplink and Downlink Non-Orthogonal Multiple Access (NOMA) Systems

This paper introduces a comprehensive paper on optimizing Non-Orthogonal Multiple Access (NOMA) systems for 5G cellular networks through dynamic user clustering and power allocation in both uplink and downlink scenarios. NOMA has garnered significant attention as a key enabler for next-generation cellular networks due to its ability to serve multiple users simultaneously over the same spectral resources by exploiting differences in channel gains. This is achieved through the superposition of signals in the power domain and employing successive interference cancellation (SIC) at the receiver for decoding.

Key Contributions

  1. Uplink and Downlink NOMA Principles:
    • The paper outlines the fundamental distinctions between uplink and downlink NOMA. In downlink, a single transmitter (BS) sends multiple streams to various users differentiated by power levels, whereas in uplink, multiple users transmit to a single base station, where different users' signals experience different channel gains.
  2. Optimization Problem Formulation:
    • For both uplink and downlink scenarios, the authors formulate a sum-throughput maximization problem under multiple constraints, including transmission power limits, minimum rate requirements, and SIC constraints. The problem is inherently complex due to its combinatorial nature, making direct solutions infeasible for practical systems.
  3. Low-Complexity User Clustering Scheme:
    • The proposed solution employs a two-step approach to mitigate the complexity. Firstly, users are grouped into clusters based on channel gain differences. The clustering aims to maximize throughput by ensuring high channel gain users are distributed across clusters, thus enhancing overall system performance.
  4. Optimal Power Allocation:
    • Given the user clusters, the paper derives the optimal power allocation policy that maximizes throughput using Karush-Kuhn-Tucker (KKT) conditions. Closed-form solutions for power allocation are provided for any cluster size, which ensures computational feasibility and practical applicability.
  5. Numerical Results and Performance Evaluation:
    • Numerical simulations validate the proposed schemes' advantages over traditional orthogonal multiple access (OMA) systems, demonstrating significant throughput improvements in various network scenarios. The performance evaluation highlights the importance of channel gain distinctiveness and optimal cluster size selection.

Theoretical and Practical Implications

The paper’s contributions offer extensive implications for the design and optimization of NOMA systems:

  • Theoretical Implications:
    • The formulated mixed integer non-linear programming (MINLP) problems and the derived closed-form solutions contribute to the theoretical foundation of NOMA system design. These formulations and solutions can serve as benchmarks for future research focusing on advanced NOMA techniques and optimizations.
    • The insight into the distinct impact of uplink and downlink operations provides a deeper understanding of how to efficiently design and manage resources in NOMA systems.
  • Practical Implications:
    • The low-complexity clustering algorithm is particularly beneficial for real-world applications where computational resources and time are constrained. Implementing this algorithm can significantly enhance system performance without incurring prohibitive computational costs.
    • The closed-form power allocation solutions facilitate easier implementation in practical systems, potentially accelerating the adoption of NOMA in 5G and beyond.
    • The performance evaluations offer guidelines for network operators on selecting optimal cluster sizes and power allocation strategies, balancing trade-offs between system capacity and fairness among users.

Future Directions

Building on this foundational work, several avenues for future research can be anticipated:

  • Error Propagation in SIC:
    • Investigating the impact of error propagation in SIC, especially in large NOMA clusters where error accumulation can severely degrade performance. Developing robust error mitigation techniques will be crucial.
  • Inter-cell Interference Management:
    • Extending power allocation solutions to dense cellular networks where inter-cell interference can significantly affect NOMA performance. Coordinated multi-point (CoMP) transmission and advanced interference coordination techniques could be explored.
  • Dynamic Rate Adaptation:
    • Comparative studies on dynamic minimum rate requirement adjustments for users to enhance fairness while maintaining high throughput. Adaptive algorithms that balance these adjustments in real-time can be valuable.
  • Integration with Multiple-Input Multiple-Output (MIMO):
    • Combined use of NOMA and MIMO technologies could further improve spectral efficiency. Research on joint optimization strategies that incorporate MIMO beamforming and NOMA clustering/power allocation would be beneficial.

In conclusion, the comprehensive paper offered in this paper provides significant advancements in the optimization of NOMA systems, addressing the critical challenges of user clustering and power allocation. The proposed methodologies not only demonstrate substantial throughput enhancements but also lay foundational principles for future explorations in the field of 5G and B5G networks.