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Coverage Analysis for Millimeter Wave Networks: The Impact of Directional Antenna Arrays (1702.04493v2)

Published 15 Feb 2017 in cs.IT and math.IT

Abstract: Millimeter wave (mm-wave) communications is considered a promising technology for 5G networks. Exploiting beamforming gains with large-scale antenna arrays to combat the increased path loss at mm-wave bands is one of its defining features. However, previous works on mm-wave network analysis usually adopted oversimplified antenna patterns for tractability, which can lead to significant deviation from the performance with actual antenna patterns. In this paper, using tools from stochastic geometry, we carry out a comprehensive investigation on the impact of directional antenna arrays in mm-wave networks. We first present a general and tractable framework for coverage analysis with arbitrary distributions for interference power and arbitrary antenna patterns. It is then applied to mm-wave ad hoc and cellular networks, where two sophisticated antenna patterns with desirable accuracy and analytical tractability are proposed to approximate the actual antenna pattern. Compared with previous works, the proposed approximate antenna patterns help to obtain more insights on the role of directional antenna arrays in mm-wave networks. In particular, it is shown that the coverage probabilities of both types of networks increase as a non-decreasing concave function with the antenna array size. The analytical results are verified to be effective and reliable through simulations, and numerical results also show that large-scale antenna arrays are required for satisfactory coverage in mm-wave networks.

Citations (187)

Summary

  • The paper develops a general framework using stochastic geometry to analyze coverage in mm-wave networks, accounting for realistic interference and antenna patterns.
  • Numerical results show that coverage probability in mm-wave networks improves significantly with larger antenna array sizes, albeit with diminishing returns.
  • The research provides practical guidelines, suggesting that large-scale antenna arrays are essential for achieving satisfactory coverage levels in future mm-wave deployments.

Coverage Analysis for Millimeter Wave Networks: The Impact of Directional Antenna Arrays

The paper "Coverage Analysis for Millimeter Wave Networks: The Impact of Directional Antenna Arrays" offers a comprehensive paper on the implications of using directional antenna arrays in millimeter-wave (mm-wave) communication networks, particularly for 5G applications. The authors undertake a detailed investigation using stochastic geometry, which allows them to model and analyze the spatial characteristics of network nodes and their interactions.

Key Contributions and Analytical Framework

The primary contribution of this work is the development of a general framework for evaluating coverage probabilities in mm-wave networks, which accounts for arbitrary distributions of interference power and antenna patterns. This framework is particularly valuable as it eschews oversimplified antenna models commonly used in previous studies, which often lead to inaccurate performance predictions. Instead, the authors propose sophisticated antenna models to approximate real-world behaviors more closely.

The proposed framework is applied to both ad hoc and cellular network scenarios. Two types of networks are considered: mm-wave ad hoc networks, characterized by fixed transmitter-receiver distances (dipole model), and cellular networks, where users connect to the nearest base station. The paper introduces approximate antenna patterns—termed "sinc" and "cosine" patterns—that provide a balance between analytical tractability and modeling accuracy.

Numerical Results and Insights

The findings confirm that the coverage probability in mm-wave networks increases with antenna array size, behaving as a non-decreasing concave function. This suggests that larger arrays improve network performance, although with diminishing returns as the size increases. Such insights underline the importance of optimizing antenna array size for efficient network design.

For ad hoc networks, the results show significant improvement in coverage probability is achieved with larger arrays, corroborating that array size is critical in noisy and interference-limited environments, typical of dense deployments. Similarly, in cellular networks, while the increase in array size also improves coverage, the specific impact varies with network density.

Analytical Precision

The work demonstrates precision in analytical evaluation, attributed to the proposed tractable framework that handles gamma-distributed signal powers—a common scenario in realistic mm-wave settings. This precision provides accurate and computationally efficient coverage predictions, essential for planning and optimizing future mm-wave deployments.

Practical and Theoretical Implications

Practically, the research provides clear guidelines for deploying mm-wave networks, emphasizing the need for large-scale antenna arrays to achieve satisfactory coverage levels. Theoretically, the paper enriches the understanding of mm-wave network behaviors, particularly in how directional antennas affect interference patterns and coverage probabilities.

Speculation on Future Developments

Looking forward, this research opens avenues for extending the framework to incorporate more complex antenna configurations and beamforming techniques, such as hybrid precoding. There is also potential for exploring the effects of beam misalignment and imperfect channel state information, which can further enhance the robustness of mm-wave network models.

In conclusion, this paper signifies a substantial advancement in the modeling and analysis of mm-wave networks, providing both academic researchers and industry practitioners with a robust toolset to navigate the complexities of next-generation wireless communications.