Secrecy capacity of wireless channels subject to log-normal fading

• Published in: Security and communication networks Vol. 8; no. 1; pp. 25 - 35
• Main Author: Liu, Xian
• Format: Journal Article
• Language: English
• Published: London Blackwell Publishing Ltd 10.01.2015; John Wiley & Sons, Inc
• Subjects: Channels; Communication networks; Exact solutions; Fading; information-theoretic secrecy; log-normal fading; Mathematical analysis; secrecy capacity; Security; Wireless communication; Wireless communication systems
• ISSN: 1939-0114; 1939-0122
• DOI: 10.1002/sec.752

ABSTRACT In this paper, the information‐theoretic secrecy for the log‐normal fading channel is investigated. In particular, the closed‐form expressions of the probability of strictly positive secrecy capacity are derived for two wireless communication systems, with single eavesdropper and double eavesdroppers, respectively. Copyright © 2013 John Wiley & Sons, Ltd. In wireless communications over stochastic channels, the instantaneous secrecy capacity can still be positive, even on the average the eavesdropper channel is stronger than the main channel. A fundamental metric is the probability of strictly positive secrecy capacity. This paper derives the probabilities of SPSC for two systems with log‐normal fading.