Delay Performance Analysis of Delay-Deterministic Wireless Networks with Infinite and Finite Blocklength Transmission

TL;DR

This paper analyzes delay performance in delay-deterministic wireless networks under both infinite and finite blocklength regimes, deriving delay distributions, violation probabilities, and jitter metrics to enhance reliability in industrial automation.

Contribution

It provides a comprehensive delay analysis framework for wireless networks considering both infinite and finite blocklength transmissions, including new closed-form expressions and bounds.

Findings

Closed-form expressions for average delay and jitter in IBL regime.

Delay upper bounds and distributions in FBL regime at high SNR.

Simulation results validate the analytical models and insights.

Abstract

In order to achieve stable and reliable industrial manufacturing, wireless networks must meet the stringent communication requirements of industrial automation, particularly the need for deterministic low latency communication. The limited wireless resources and time-varying fading channel contribute to the random fluctuations of transmission delay, making it challenging to realize delay-deterministic wireless networks. An open challenge in this context is to model delay determinism, also known as jitter, and analyze delay performance. In this paper, we model jitter as the variance of delay and conduct a comprehensive analysis of delay performance. Specifically, we consider two transmission regimes: infinite blocklength (IBL) and finite blocklength (FBL). In the IBL regime, the distribution of the transmission delay is analyzed, and the closed-form expressions for the average delay, jitter, and delay violation probability are derived. In the FBL regime, an upper bound on the transmission delay is first approximated at a high signalto-noise ratio. Based on this upper bound, the delay distribution, delay violation probability, average delay, and jitter are derived. Finally, simulation results are provided to validate the accuracy of the analysis and derivations. Additionally, the impact of system parameters on jitter is analyzed to gain further insights.