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Statistical Delay and Error-Rate Bounded QoS Provisioning for AoI-Driven 6G Satellite-Terrestrial Integrated Networks Using FBC

Jingqing Wang, Wenchi Cheng, H. Vincent Poor

TL;DR

This paper designs the satellite-terrestrial integrated wireless network architecture model and AoI metric model, and characterize the peak-AoI bounded QoS metric using HARQ-IR protocol, and develops a set of new fundamental statistical QoS metrics in the finite blocklength regime.

Abstract

As one of the pivotal enablers for 6G, satellite-terrestrial integrated networks have emerged as a solution to provide extensive connectivity and comprehensive 3D coverage across the spatial-aerial-terrestrial domains to cater to the specific requirements of 6G massive ultra-reliable and low latency communications (mURLLC) applications, while upholding a diverse set of stringent quality-of-service (QoS) requirements. In the context of mURLLC satellite services, the concept of data freshness assumes paramount significance, as the use of outdated data may lead to unforeseeable or even catastrophic consequences. To effectively gauge the degree of data freshness for satellite-terrestrial integrated communications, the notion of age of information (AoI) has recently emerged as a novel dimension of QoS metrics to support time-sensitive applications. Nonetheless, the research efforts directed towards defining novel diverse statistical QoS provisioning metrics, including AoI, delay, and reliability, while accommodating the dynamic and intricate nature of satellite-terrestrial integrated environments, are still in their infancy. To overcome these problems, in this paper we develop analytical modeling formulations/frameworks for statistical QoS over 6G satellite-terrestrial integrated networks using hybrid automatic repeat request with incremental redundancy (HARQ-IR) in the finite blocklength regime. In particular, first we design the satellite-terrestrial integrated wireless network architecture model and AoI metric model. Second, we characterize the peak-AoI bounded QoS metric using HARQ-IR protocol. Third, we develop a set of new fundamental statistical QoS metrics in the finite blocklength regime. Finally, extensive simulations have been conducted to assess and analyze the efficacy of statistical QoS schemes for satellite-terrestrial integrated networks.

Statistical Delay and Error-Rate Bounded QoS Provisioning for AoI-Driven 6G Satellite-Terrestrial Integrated Networks Using FBC

TL;DR

This paper designs the satellite-terrestrial integrated wireless network architecture model and AoI metric model, and characterize the peak-AoI bounded QoS metric using HARQ-IR protocol, and develops a set of new fundamental statistical QoS metrics in the finite blocklength regime.

Abstract

As one of the pivotal enablers for 6G, satellite-terrestrial integrated networks have emerged as a solution to provide extensive connectivity and comprehensive 3D coverage across the spatial-aerial-terrestrial domains to cater to the specific requirements of 6G massive ultra-reliable and low latency communications (mURLLC) applications, while upholding a diverse set of stringent quality-of-service (QoS) requirements. In the context of mURLLC satellite services, the concept of data freshness assumes paramount significance, as the use of outdated data may lead to unforeseeable or even catastrophic consequences. To effectively gauge the degree of data freshness for satellite-terrestrial integrated communications, the notion of age of information (AoI) has recently emerged as a novel dimension of QoS metrics to support time-sensitive applications. Nonetheless, the research efforts directed towards defining novel diverse statistical QoS provisioning metrics, including AoI, delay, and reliability, while accommodating the dynamic and intricate nature of satellite-terrestrial integrated environments, are still in their infancy. To overcome these problems, in this paper we develop analytical modeling formulations/frameworks for statistical QoS over 6G satellite-terrestrial integrated networks using hybrid automatic repeat request with incremental redundancy (HARQ-IR) in the finite blocklength regime. In particular, first we design the satellite-terrestrial integrated wireless network architecture model and AoI metric model. Second, we characterize the peak-AoI bounded QoS metric using HARQ-IR protocol. Third, we develop a set of new fundamental statistical QoS metrics in the finite blocklength regime. Finally, extensive simulations have been conducted to assess and analyze the efficacy of statistical QoS schemes for satellite-terrestrial integrated networks.
Paper Structure (22 sections, 2 theorems, 92 equations, 9 figures)

This paper contains 22 sections, 2 theorems, 92 equations, 9 figures.

Table of Contents

  1. Introduction
  2. The System Models
  3. The Wireless Channel Model Over Satellite-Terrestrial Integrated Networks
  4. The Maximum Achievable Coding Rate Within FBC Regime
  5. The Peak AoI Metric Model Using HARQ-IR
  6. The Peak-AoI Bounded QoS Metric and Peak AoI Violation Probability Using HARQ-IR
  7. The Peak-AoI Bounded QoS Metric
  8. The Mellin Transform of Inter-Arrival and Service Times
  9. The Mellin Transform of the Inter-Arrival Time
  10. The Mellin Transform of the Service Time
  11. The Peak AoI Violation Probability Using HARQ-IR
  12. Asymptotic Peak AoI Violation Probability
  13. Statistical Delay and Error-Rate Bounded QoS Metrics Over Satellite-Terrestrial Integrated Networks Using FBC
  14. The Statistical Delay-Bounded QoS Metric
  15. The Error-Rate Bounded QoS Metric
  16. ...and 7 more sections

Key Result

Theorem 1

Claim 1. Considering general arrival and service processes, the upper bound on the peak AoI violation probability for the developed performance modeling frameworks is determined as follows: where while the stability condition $\rho_{s}^{\text{S}}\left(\theta_{\text{AoI}}\right)<\rho_{s}^{\text{I}}\left(-\theta_{\text{AoI}}\right)$ holds. Claim 2. In the special case of GI$|$GI arrival and servic

Figures (9)

  • Figure 1: The system model for the satellite-terrestrial integrated wireless networks using HARQ-IR in the finite blocklength regime.
  • Figure 2: AoI evolution for $N$ finite-blocklength status update packets.
  • Figure 3: The peak AoI vs. the number of GBSs for our developed satellite-terrestrial integrated networks.
  • 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 peak AoI violation probability vs. the blocklength for the developed satellite-terrestrial integrated networks.
  • ...and 4 more figures

Theorems & Definitions (2)

  • Theorem 1
  • Theorem 2