Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Coverage and Rate Analysis of Follower-Based LEO Satellite Networks: A Stochastic Geometry Approach

Juanjuan Ru, Ruibo Wang, Mohamed-Slim Alouini

Abstract

To mitigate inter-satellite interference and payload limits in LEO mega-constellations, satellite clusters, groups of small cooperative satellites have been proposed to improve performance and reduce interference. The typical configuration divides the cluster into a leader satellite with full processing and control capabilities and multiple simpler follower satellites that assist with coverage and throughput. These clusters enhance coverage and throughput, prompting interest in their performance gains and optimal deployment. Given that the spherical stochastic geometry (SG) model has been proven effective for modeling such structures, we establish a performance evaluation framework based on the SG approach for the leader-follower satellite architecture, enabling an assessment of communication performance under different deployment configurations quantitatively. We derive analytical expressions for the outage probability and average data rate to evaluate the communication performance of the satellite system, along with low-complexity approximations. Numerical results demonstrate the performance advantages of the leader-follower architecture over a single leader satellite and explore optimal deployment configurations for the follower satellites.

Coverage and Rate Analysis of Follower-Based LEO Satellite Networks: A Stochastic Geometry Approach

Abstract

To mitigate inter-satellite interference and payload limits in LEO mega-constellations, satellite clusters, groups of small cooperative satellites have been proposed to improve performance and reduce interference. The typical configuration divides the cluster into a leader satellite with full processing and control capabilities and multiple simpler follower satellites that assist with coverage and throughput. These clusters enhance coverage and throughput, prompting interest in their performance gains and optimal deployment. Given that the spherical stochastic geometry (SG) model has been proven effective for modeling such structures, we establish a performance evaluation framework based on the SG approach for the leader-follower satellite architecture, enabling an assessment of communication performance under different deployment configurations quantitatively. We derive analytical expressions for the outage probability and average data rate to evaluate the communication performance of the satellite system, along with low-complexity approximations. Numerical results demonstrate the performance advantages of the leader-follower architecture over a single leader satellite and explore optimal deployment configurations for the follower satellites.

Paper Structure

This paper contains 28 sections, 9 theorems, 77 equations, 10 figures, 1 table.

Table of Contents

  1. Introduction
  2. Motivation
  3. Related Works
  4. Contribution
  5. System Model
  6. Spatial Distribution Model
  7. Channel Model
  8. Performance Analysis
  9. Contact Angle Distribution
  10. Outage Probability
  11. Average Data Rate
  12. Numerical Results
  13. Outage Probablity
  14. Average Data Rate
  15. Performance Comparison
  16. ...and 13 more sections

Key Result

Lemma 1

Denote the contact angle between the associated leader satellite and the user as $\theta_{\mathrm{LU}}$. The PDF of the distribution of $\theta_{\mathrm{LU}}$ is given by: $\blacktriangleleft$$\blacktriangleleft$

Figures (10)

  • Figure 1: Schematic diagram of two types of satellite clusters.
  • Figure 2: Verification of the accuracy of outage probability.
  • Figure 3: Outage probabilities with different altitudes and numbers of follower satellites.
  • Figure 4: Average data rate with different numbers of followers and follower transmit power.
  • Figure 5: Average data rate with different numbers of followers and altitudes.
  • ...and 5 more figures

Theorems & Definitions (14)

  • Definition 1: Central Angle
  • Definition 2: Contact Angle
  • Lemma 1
  • Lemma 2
  • Lemma 3
  • Definition 3: Outage Probability
  • Theorem 1
  • Theorem 2
  • Corollary 1
  • Definition 4: Average Data Rate of Leader Satellite
  • ...and 4 more