Comprehensive Analysis of Maximum Power-Based Association Policy for Millimeter Wave Cellular Networks Considering Euclidean and Angular Coordinates

Core Concepts

The core message of this paper is to propose a novel stochastic geometry framework to study the downlink coverage performance in a millimeter wave cellular network by jointly considering the Euclidean and angular distances of the base stations with respect to the typical user in the maximum power-based association policy. The authors highlight the key role of angular distances in the association policy and analysis, which has been largely ignored in the literature.

Abstract

The paper proposes a novel stochastic geometry framework to study the downlink coverage performance in a millimeter wave cellular network. The key contributions are:

Derivation of the angular distance distributions in a 2D finite homogeneous Poisson point process as mathematical preliminaries.

Proposal of a realistic maximum power-based association policy (Policy 1) that jointly considers the Euclidean and angular distances of the base stations, in contrast to the conventional policies that only consider Euclidean distance (Policy 3) or angular distance (Policy 2).

Derivation of exact-form expressions for the coverage probability under the three association policies by obtaining the PDF of the maximum received power and the Laplace transform of the aggregate interference power distributions.

Investigation of the dominant interferer approach, where the dominant interferer is defined based on angular distance criteria instead of Euclidean distance. Exact-form expressions for the coverage probability are derived under this scenario.

The numerical results reveal that considering angular distance-based criteria for determining both the serving and the dominant interfering base station can approximate the coverage performance more accurately compared to utilizing Euclidean distance-based criteria.

Stats

The path loss exponents for LOS and NLOS conditions are typically in the ranges αL ∈[1.8, 2.5] and αN ∈[2.5, 4.7], respectively.

Quotes

"To overcome these limitations, first, mmWave networks are envisioned to be densely deployed to achieve acceptable coverage [3]. However, increasing the density of base stations (BSs) leads to severe interference problems which in turn may cause a significant number of transmission failures."
"Next, steerable antenna arrays with highly directional antenna beams are needed to achieve high power gain and improved coverage. Therefore, the antennas' 3 dB beamwidth becomes a key design parameter."

Key Insights Distilled From

Comprehensive Analysis of Maximum Power Association Policy for Cellular Networks Using Distance and Angular Coordinates

by Harris K. Ar... at arxiv.org 04-03-2024

https://arxiv.org/pdf/2303.09939.pdf

Deeper Inquiries

How can the proposed framework be extended to account for dynamic blockages and user mobility in millimeter wave cellular networks

To extend the proposed framework to account for dynamic blockages and user mobility in millimeter wave cellular networks, several adjustments and considerations can be made. Firstly, the blockage model can be enhanced to incorporate dynamic blockages caused by moving objects such as vehicles or pedestrians. This can involve updating the LOS and NLOS conditions based on the changing environment. Additionally, the path loss model can be modified to reflect the varying attenuation levels due to dynamic blockages.
User mobility can be addressed by introducing a mobility model for the users and base stations. This model can capture the movement patterns of users and base stations, affecting the channel conditions and association decisions. By incorporating user mobility, the framework can simulate real-world scenarios where users are not stationary.
Furthermore, the association policy can be adapted to consider the dynamic nature of blockages and user mobility. The policy can prioritize associations with BSs that have better line-of-sight conditions, taking into account the changing environment. Beamforming and resource allocation strategies can also be adjusted based on the mobility patterns to optimize performance in dynamic millimeter wave networks.

What are the potential tradeoffs between the complexity of the association policy and the achievable performance gains in practical millimeter wave deployments

The tradeoffs between the complexity of the association policy and the achievable performance gains in practical millimeter wave deployments are crucial considerations in network design. A more complex association policy that considers factors like angular distances and beam misalignment can lead to improved performance by enabling more accurate association decisions. This can result in better coverage, higher data rates, and reduced interference in the network.
However, increased complexity comes with challenges such as higher computational requirements, signaling overhead, and implementation costs. Complex association policies may also introduce latency in the network, impacting real-time communication applications. Therefore, there is a tradeoff between the performance gains achieved through sophisticated policies and the practical feasibility of implementing and managing these policies in a real-world deployment.
Network operators and designers need to carefully balance the complexity of the association policy with the expected performance improvements and operational considerations. It is essential to conduct thorough simulations and evaluations to assess the tradeoffs and determine the optimal level of complexity that maximizes performance gains while maintaining operational efficiency.

How can the insights from this work on the role of angular distances be leveraged to design efficient beam management and resource allocation algorithms for future 6G networks

The insights from the analysis of angular distances in cellular networks can be leveraged to design efficient beam management and resource allocation algorithms for future 6G networks. By considering angular distances in the association policy and interference analysis, network operators can optimize beamforming strategies and enhance spectral efficiency in millimeter wave networks.
One potential application is the development of intelligent beam selection algorithms that take into account the angular relationships between base stations and users. By leveraging angular distance information, beamforming can be dynamically adjusted to maximize signal strength and minimize interference, leading to improved network performance.
Furthermore, resource allocation algorithms can benefit from the understanding of angular distances to allocate resources more effectively based on the spatial distribution of users and base stations. By considering the angular domain in addition to the traditional Euclidean domain, resource allocation can be optimized to enhance coverage, capacity, and quality of service in 6G networks.
Overall, the insights on angular distances can inform the design of advanced beam management and resource allocation techniques that are essential for achieving the performance requirements of future high-capacity and low-latency 6G networks.