Delay-Intolerant Covert Communications With Either Fixed or Random Transmit Power

• Published in: IEEE transactions on information forensics and security Vol. 14; no. 1; pp. 129 - 140
• Main Authors: Yan, Shihao, He, Biao, Zhou, Xiangyun, Cong, Yirui, Swindlehurst, A. Lee
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.01.2019; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: AWGN channels; Codes; Covert communications; covertness; Delay; delay-intolerant; Electric power distribution; Error analysis; Error detection; finite blocklength; Random noise; random transmit power; Uncertainty; Wireless communication
• ISSN: 1556-6013; 1556-6021
• DOI: 10.1109/TIFS.2018.2846257

In this paper, we study delay-intolerant covert communications in additive white Gaussian noise (AWGN) channels with a finite block length, i.e., a finite number of channel uses. Considering the maximum allowable number of channel uses to be N, it is not immediately clear whether the actual number of channel uses, denoted by n, should be as large as N or smaller for covert communications. This is because a smaller n reduces a warden's chance to detect the communications due to fewer observations, but also reduces the chance to transmit information. We show that n = N is indeed optimal to maximize the amount of information bits that can be transmitted, subject to any covert communication constraint in terms of the warden's detection error probability. To better make use of the warden's uncertainty due to the finite block length, we also propose to use uniformly distributed random transmit power to enhance covert communications. Our examination shows that the amount of information that can be covertly transmitted logarithmically increases with the number of random power levels, which indicates that most of the benefit of using random transmit power is achieved with just a few different power levels.