On the Secrecy Capacity of Fading Channels

By Praveen Kumar Gopala, Lifeng Lai, Hesham El Gamal. 2007 IEEE International Symposium on Information Theory, 2006

1,312 citations recorded by the source corpus.

We consider the secure transmission of information over an ergodic fading channel in the presence of an eavesdropper. Our eavesdropper can be viewed as the wireless counterpart of Wyner's wiretapper. The secrecy capacity of such a system is characterized under the assumption of asymptotically long coherence intervals. We analyze the full channel state information (CSI) case, where the transmitter has access to the channel gains of the legitimate receiver and eavesdropper, and the main channel CSI scenario, where only the legitimate receiver channel gain is known at the transmitter. In each scenario, the secrecy capacity is obtained along with the optimal power and rate allocation strategies. We then propose a low-complexity on/off power allocation strategy that achieves near-optimal performance with only the main channel CSI. More specifically, this scheme is shown to be asymptotically optimal as the average SNR goes to infinity, and interestingly, is shown to attain the secrecy capacity under the full CSI assumption. Remarkably, our results reveal the positive impact of fading on the secrecy capacity and establish the critical role of rate adaptation, based on the main channel CSI, in facilitating secure communications over slow fading channels.

Subfields: Computer Networks and Communications, Computer Vision and Pattern Recognition, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/0e8a6592ee9b1b2815a19fb325052318280abdb6

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Citations in the corpus

Secure Transmission With Multiple Antennas—Part II: The MIMOME Wiretap Channel (2010, methodology): “The error event is , and the amount of information obtained by the eavesdropper from the transmission is measured via the equivocation .”
Wireless Information-Theoretic Security (2008, background): “in [13] and power and rate allocation schemes for secret communication over fading channels were presented.”
Classifications and Applications of Physical Layer Security Techniques for Confidentiality: A Comprehensive Survey (2019, background): “[64], concurrently (in the same year) but independently.”
Securing UAV Communications via Joint Trajectory and Power Control (2018, background): “Although problem (17) is non-convex, it has been shown in [23] and [33] that the optimal solution can be obtained as”
Communication Requirement for Reliable and Secure State Estimation and Control in Smart Grid (2011, background): “Recent years witnessed the resurrection of the information theoretic study on security issues, like channel capacity requirements for secure transmission in fading channels [5], [6], multiple access channels [17], broadcast channels [7], [8] and inter-”
QoS-Based Transmit Beamforming in the Presence of Eavesdroppers: An Optimized Artificial-Noise-Aided Approach (2011, background): “The MIMO secrecy capacity problems are considered in [18]–[21]; see also [22] for fast fading channels.”
Physical-Layer Security in Free-Space Optical Communications (2015, background): “research community in the field of physical layer security over the past few years [9]–[16], as a means to provide reliable secure communications, relaxing the complexity and complementing the performance of the required cryptographic technologies.”
Optimal Cooperative Jamming to Enhance Physical Layer Security Using Relays (2011, background): “To describe this further, let us focus on a source symbol (with ) which appears within one time unit of the transmission slot of 1This assumption is reasonable when the eavesdropper is an active user; and for the high SNR case when the eavesdropper is passive [8].”
Physical layer security in wireless networks: a tutorial (2011, result): “A similar result has been generalized to Gaussian channels by Leung et al. [ 9 ].”
Physical-Layer Security in the Internet of Things: Sensing and Communication Confidentiality Under Resource Constraints (2015, background): “maximizes the secrecy capacity is given in [57].”
A Survey on Multiple-Antenna Techniques for Physical Layer Security (2017, background): “, across multiple coherent time slots, average secrecy capacity was proposed in [64] as a performance metric.”
The secrecy capacity of the MIMO wiretap channel (2007, background): “In this context, most of the works dealing with wireless communication are based on the seminal work of Wyner [16], and its model, the wire-tap channel.”
Game Theory in Wireless and Communication Networks (2008, background): “There have been considerable efforts to generalize these studies to wireless-channel and multi-user scenarios (see [206, 289, 293, 357, 383, 440, 294, 172, 133] and references therein).”