Latency Analysis of LEO Satellite Relay Communication: An Application of Conditional Contact Angle Distribution

TL;DR

This paper analyzes the transmission delay in LEO satellite relay systems using stochastic geometry, deriving analytical delay expressions and proposing a suboptimal relay selection strategy for improved performance.

Contribution

It introduces a stochastic geometry framework for modeling LEO satellites and derives analytical delay expressions, along with a suboptimal relay selection method.

Findings

Derived analytical expressions for uplink and downlink delays.

Proposed a suboptimal relay selection strategy.

Validated delay models through numerical analysis.

Abstract

This article investigates the transmission delay of a Low Earth Orbit (LEO) satellite communication system in a bent pipe structure. By employing a stochastic geometry framework, satellites are modeled as spherical binomial point processes (BPP). A suboptimal satellite relay selection strategy is proposed, which achieves optimal conditions through theoretical analysis and numerical exploration. We derive the distance distributions for the uplink and downlink links, and provide corresponding analytical expressions for the transmission delays.