Compound Wiretap Channels

By Yingbin Liang, Gerhard Kramer, H. Vincent Poor, Shlomo Shamai. EURASIP Journal on Wireless Communications and Networking, 2009

319 citations recorded by the source corpus.

This paper considers the compound wiretap channel, which generalizes Wyner's wiretap model to allow the channels to the (legitimate) receiver and to the eavesdropper to take a number of possible states. No matter which states occur, the transmitter guarantees that the receiver decodes its message and that the eavesdropper is kept in full ignorance about the message. The compound wiretap channel can also be viewed as a multicast channel with multiple eavesdroppers, in which the transmitter sends information to all receivers and keeps the information secret from all eavesdroppers. For the discrete memoryless channel, lower and upper bounds on the secrecy capacity are derived. The secrecy capacity is established for the degraded channel and the semideterministic channel with one receiver. The parallel Gaussian channel is further studied. The secrecy capacity and the secrecy degree of freedom () are derived for the degraded case with one receiver. Schemes to achieve the for the case with two receivers and two eavesdroppers are constructed to demonstrate the necessity of a prefix channel in encoder design. Finally, the multi-antenna (i.e., MIMO) compound wiretap channel is studied. The secrecy capacity is established for the degraded case and an achievable is given for the general case.

Subfields: Computer Networks and Communications, Electrical and Electronic Engineering

View Paper: https://www.semanticscholar.org/paper/b2ae4de2deea431fec19d5e5e9e199195a85ddb2

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Citations in the corpus

Principles of Physical Layer Security in Multiuser Wireless Networks: A Survey (2010, background): “A recent approach towards understanding the information-theoretic limits of wiretap channels with no eavesdropper CSI has been taken by studying the compound wiretap channel [32].”
Physical Layer Security for Next Generation Wireless Networks: Theories, Technologies, and Challenges (2017, background): “Moreover, researchers begin to study multi-access channels for transmissions of multiple confidential messages [183], [184].”
Secure Transmission with Multiple Antennas II: The MIMOME Wiretap Channel (2010, background): “We note that the case where there are multiple non-colluding eavesdroppers has been recently been studied as a compound wire-tap channel problem [13], [14].”
Intelligent Reflecting Surface: A Programmable Wireless Environment for Physical Layer Security (2019, background): “Then, the basic wiretap channel has been extended to broadcast channels [29], Gaussian channels [30], compound wiretap channels [31], and so on.”
On Cooperative Relaying Schemes for Wireless Physical Layer Security (2010, methodology): “For both the DF and CJ protocols, the achievable secrecy rate in the presence of J eavesdroppers is given by [26] Rs = max{0, Rd − max 1≤j≤J R e}.”