Covert Capacity of AWGN Channels under Average Error Probability

2025/06/17 by Cécile Bouette, Bouette, C., Laura Luzzi +3
Computer Science · Engineering · #FOS: Computer and information sciences #Information Theory (cs.IT) #Internet Traffic Analysis and Secure E-voting #Wireless Communication Security Techniques #Wireless Signal Modulation Classification

paper · pdf · doi:10.48550/arxiv.2506.14483

openalex publication_date 2025/06/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We derive upper and lower bounds for the covert capacity of Additive White Gaussian Noise channels when measuring reliability in terms of the average error probability and covertness in terms of Kullback-Leibler divergence. This characterization confirms the absence of strong converse for this setting in both the reliability and covertness parameters. The crux of our approach is to analyze a codebook of BPSK-modulated codewords carefully augmented with "all-zero" codewords.

Citations

• Covert Communication Over Additive-Noise Channels
• Mixing a Covert and a Non-Covert User
• Covert MIMO Communications under Variational Distance Constraint
• Treating Interference as Noise is Optimal for Covert Communication over Interference Channels
• Fundamental limits of quantum-secure covert communication over bosonic channels
• Undetectable Radios: Covert Communication under Spectral Mask Constraints
• Covert Communication over a K-User Multiple Access Channel
• Time-Division is Optimal for Covert Communication over Some Broadcast Channels
• Optimal Throughput for Covert Communication Over a Classical-Quantum Channel
• Effective Secrecy: Reliability, Confusion and Stealth
• Limits of Reliable Communication with Low Probability of Detection on AWGN Channels

Related

• Total Variation Distance Based Performance Analysis of Covert Communication over AWGN Channels in Non-asymptotic Regime
• The Reliability Function for the Additive White Gaussian Noise Channel at Rates above the Capacity
• Covert Communication over Two Types of Additive Noise Channels
• Error Probability Bounds for Gaussian Channels under Maximal and Average\n Power Constraints
• The First and Second-Order Asymptotics of Covert Communication over AWGN Channels