Journal of Applied Mathematics

  • J. Appl. Math.
  • Volume 2013, Special Issue (2013), Article ID 423619, 17 pages.

Wiretap Channel in the Presence of Action-Dependent States and Noiseless Feedback

Bin Dai, A. J. Han Vinck, and Yuan Luo

Full-text: Open access

Abstract

We investigate the wiretap channel in the presence of action-dependent states and noiseless feedback. Given the message to be communicated, the transmitter chooses an action sequence that affects the formation of the channel states and then generates the channel input sequence based on the state sequence, the message, and the noiseless feedback, where the noiseless feedback is from the output of the main channel to the channel encoder. The main channel and the wiretap channel are two discrete memoryless channels (DMCs), and they are connected with the legitimate receiver and the wiretapper, respectively. The transition probability distribution of the main channel depends on the channel state. Measuring wiretapper’s uncertainty about the message by equivocation, the capacity equivocation regions are provided both for the case where the channel inputs are allowed to depend noncausally on the state sequence and the case where they are restricted to causal dependence. Furthermore, the secrecy capacities for both cases are formulated, which provide the best transmission rate with perfect secrecy. The result is further explained via a binary example.

Article information

Source
J. Appl. Math., Volume 2013, Special Issue (2013), Article ID 423619, 17 pages.

Dates
First available in Project Euclid: 14 March 2014

Permanent link to this document
https://projecteuclid.org/euclid.jam/1394807787

Digital Object Identifier
doi:10.1155/2013/423619

Zentralblatt MATH identifier
1266.94018

Citation

Dai, Bin; Han Vinck, A. J.; Luo, Yuan. Wiretap Channel in the Presence of Action-Dependent States and Noiseless Feedback. J. Appl. Math. 2013, Special Issue (2013), Article ID 423619, 17 pages. doi:10.1155/2013/423619. https://projecteuclid.org/euclid.jam/1394807787


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