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Statistical AoI, Delay, and Error-Rate Bounded QoS Provisioning for Satellite-Terrestrial Integrated Networks

Jingqing Wang, Wenchi Cheng, H. Vincent Poor

TL;DR

This paper tackles the challenge of delivering stringent QoS guarantees for massive Ultra-Reliable Low-Latency Communications in satellite-terrestrial integrated networks under finite blocklength constraints. It introduces an STIN architecture with an AoI-centric QoS perspective and derives fundamental statistical QoS metrics—peak AoI, delay, and error-rate exponents—via large deviations and Mellin-transform techniques, accounting for shadowed-Rician satellite channels and terrestrial interference. The authors formulate exponential-bound expressions and stability conditions, and validate the framework through simulations that compare STIN with pure satellite networks, showing improved freshness and reliability under realistic 3D coverage scenarios. The work provides a principled approach to quantify and bound time-sensitive performance metrics in dynamic space-aerial-terrestrial networks, enabling robust mURLLC provisioning for 6G deployments.

Abstract

Massive ultra-reliable and low latency communications (mURLLC) has emerged to support wireless time/error-sensitive services, which has attracted significant research attention while imposing several unprecedented challenges not encountered before. By leveraging the significant improvements in space-aerial-terrestrial resources for comprehensive 3D coverage, satellite-terrestrial integrated networks have been proposed to achieve rigorous and diverse quality-of-services (QoS) constraints of mURLLC. To effectively measure data freshness in satellite communications, recently, age of information (AoI) has surfaced as a novel QoS criterion for ensuring time-critical applications. Nevertheless, because of the complicated and dynamic nature of network environments, how to efficiently model multi-dimensional statistical QoS provisioning while upper-bounding peak AoI, delay, and error-rate for diverse network segments is still largely open. To address these issues, in this paper we propose statistical QoS provisioning schemes over satellite-terrestrial integrated networks in the finite blocklength regime. In particular, first we establish a satellite-terrestrial integrated wireless network architecture model and an AoI metric model. Second, we derive a series of fundamental statistical QoS metrics including peak-AoI bounded QoS exponent, delay-bounded QoS exponent, and error-rate bounded QoS exponent. Finally, we conduct a set of simulations to validate and evaluate our proposed statistical QoS provisioning schemes over satellite-terrestrial integrated networks.

Statistical AoI, Delay, and Error-Rate Bounded QoS Provisioning for Satellite-Terrestrial Integrated Networks

TL;DR

This paper tackles the challenge of delivering stringent QoS guarantees for massive Ultra-Reliable Low-Latency Communications in satellite-terrestrial integrated networks under finite blocklength constraints. It introduces an STIN architecture with an AoI-centric QoS perspective and derives fundamental statistical QoS metrics—peak AoI, delay, and error-rate exponents—via large deviations and Mellin-transform techniques, accounting for shadowed-Rician satellite channels and terrestrial interference. The authors formulate exponential-bound expressions and stability conditions, and validate the framework through simulations that compare STIN with pure satellite networks, showing improved freshness and reliability under realistic 3D coverage scenarios. The work provides a principled approach to quantify and bound time-sensitive performance metrics in dynamic space-aerial-terrestrial networks, enabling robust mURLLC provisioning for 6G deployments.

Abstract

Massive ultra-reliable and low latency communications (mURLLC) has emerged to support wireless time/error-sensitive services, which has attracted significant research attention while imposing several unprecedented challenges not encountered before. By leveraging the significant improvements in space-aerial-terrestrial resources for comprehensive 3D coverage, satellite-terrestrial integrated networks have been proposed to achieve rigorous and diverse quality-of-services (QoS) constraints of mURLLC. To effectively measure data freshness in satellite communications, recently, age of information (AoI) has surfaced as a novel QoS criterion for ensuring time-critical applications. Nevertheless, because of the complicated and dynamic nature of network environments, how to efficiently model multi-dimensional statistical QoS provisioning while upper-bounding peak AoI, delay, and error-rate for diverse network segments is still largely open. To address these issues, in this paper we propose statistical QoS provisioning schemes over satellite-terrestrial integrated networks in the finite blocklength regime. In particular, first we establish a satellite-terrestrial integrated wireless network architecture model and an AoI metric model. Second, we derive a series of fundamental statistical QoS metrics including peak-AoI bounded QoS exponent, delay-bounded QoS exponent, and error-rate bounded QoS exponent. Finally, we conduct a set of simulations to validate and evaluate our proposed statistical QoS provisioning schemes over satellite-terrestrial integrated networks.
Paper Structure (10 sections, 2 theorems, 30 equations, 5 figures)

This paper contains 10 sections, 2 theorems, 30 equations, 5 figures.

Table of Contents

  1. Introduction
  2. The System Models
  3. The Wireless Channel Model Over Satellite-Terrestrial Integrated Networks Using FBC
  4. The AoI Metric Modeling Through FBC
  5. Statistical QoS Metrics Over Satellite-Terrestrial Integrated Networks
  6. The Peak-AoI Bounded QoS Metrics Using FBC
  7. The Delay-Bounded QoS Metrics
  8. The Error-Rate Bounded QoS Metrics
  9. Performance Evaluations
  10. Conclusions

Key Result

Theorem 1

The upper-bounded peak AoI violation probability $p_{\text{PAoI},s}(u)$ for our proposed satellite-terrestrial integrated wireless networks for a given the peak AoI threshold $A_{\text{th}}$ is determined as follows: where

Figures (5)

  • Figure 1: The AoI evolution for $N$ FBC-based status updates.
  • Figure 2: The AoI evolution for $N$ FBC-based status updates.
  • Figure 3: The peak AoI (cu) vs. the number of GBSs $K$ through using FBC.
  • Figure 4: The peak AoI violation probability vs. the peak-AoI bounded QoS exponent $\theta_{\text{AoI}}$ for our developed satellite-terrestrial integrated networks.
  • Figure 5: The error-rate bounded QoS exponent $\theta_{\text{error}}$ vs. the blocklength $n$.

Theorems & Definitions (2)

  • Theorem 1
  • Theorem 2