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Entropy 2013, 15(2), 445-473; doi:10.3390/e15020445

Wiretap Channel with Action-Dependent Channel State Information

1,2,* , 3
1 School of Information Science and Technology, Southwest JiaoTong University, Northbound Section Second Ring Road 111, Chengdu, China 2 Computer Science and Engineering Department, Shanghai Jiao Tong University, Dongchuan Road 800, Shanghai, China 3 Institute for Experimental Mathematics, Duisburg-Essen University, Ellernstr.29, Essen, Germany
* Author to whom correspondence should be addressed.
Received: 23 November 2012 / Revised: 9 January 2013 / Accepted: 17 January 2013 / Published: 28 January 2013
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In this paper, we investigate the model of wiretap channel with action-dependent channel state information. 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 and the message. 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. Moreover, the transition probability distribution of the main channel depends on the channel state. Measuring wiretapper’s uncertainty about the message by equivocation, inner and outer bounds on the capacity-equivocation region are provided both for the case where the channel inputs are allowed to depend non-causally on the state sequence and the case where they are restricted to causal dependence. Furthermore, the secrecy capacities for both cases are bounded, which provide the best transmission rate with perfect secrecy. The result is further explained via a binary example.
Keywords: action-dependent channel state information; capacity-equivocation region; causal; noncausal; wiretap channel action-dependent channel state information; capacity-equivocation region; causal; noncausal; wiretap channel
This is an open access article distributed under the Creative Commons Attribution License (CC BY) which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Dai, B.; Vinck, A.J.H.; Luo, Y.; Tang, X. Wiretap Channel with Action-Dependent Channel State Information. Entropy 2013, 15, 445-473.

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