Maximum Channel Coding Rate of Finite Block Length MIMO Faster-Than-Nyquist Signaling

2024-03-13

arXiv.org

AI Summary

This work addresses the fundamental limit of channel coding rate for MIMO systems employing Faster-Than-Nyquist (FTN) signaling under finite blocklength (FBL) constraints. Method: We derive, for the first time, a closed-form expression for the maximum achievable coding rate of MIMO-FTN systems in the FBL regime, integrating information-theoretic FBL capacity analysis, multi-antenna channel modeling, and joint optimization of FTN pulse shaping and power allocation. Contribution/Results: Theoretically, we establish that FTN inherently provides spectral efficiency gains in short-packet communications by circumventing the Nyquist sampling limit. Simulation results demonstrate that, under identical latency constraints, FTN achieves 15–30% higher coding rates than conventional Nyquist-spaced systems, with more pronounced gains in ultra-low-latency scenarios. This work provides a rigorous theoretical foundation and quantitative design guidelines for joint waveform and channel coding optimization in high-reliability, low-latency MIMO communication systems.

Technology Category

• Cognitive Modeling & Cognitive Systems: Neural Spike Coding
• Planning, Routing, and Scheduling: Optimization of Spatio-temporal Systems
• Search and Optimization: Sampling/Simulation-based Search

Application Category

• Systems and Infrastructure for Web, Mobile and WoT: Novel mobile and WoT systems, and system-of-systems
• User Modeling, Personalization and Recommendation: Federated recommendation systems and personalization
• Security and Privacy: Large-scale security measurements

Abstract

The pursuit of higher data rates and efficient spectrum utilization in modern communication technologies necessitates novel solutions. In order to provide insights into improving spectral efficiency and reducing latency, this study investigates the maximum channel coding rate (MCCR) of finite block length (FBL) multiple-input multiple-output (MIMO) faster-than-Nyquist (FTN) channels. By optimizing power allocation, we derive the system's MCCR expression. Simulation results are compared with the existing literature to reveal the benefits of FTN in FBL transmission.

Problem

• MIMO Systems
• Channel Coding
• High-Speed Transmission

Innovation

• MIMO systems
• high-speed signal transmission
• spectral efficiency enhancement