Abstract
We introduce the wiretap channel with action-dependent states and rate-limited feedback. In the new model, the state sequence is dependent on the action sequence which is selected according to the message, and a secure rate-limited feedback link is shared between the transmitter and the receiver. We obtain the capacity-equivocation region and secrecy capacity of such a channel both for the case where the channel inputs depend noncausally on the state sequence and the case where they are restricted to causal dependence. We construct the capacity-achieving coding schemes utilizing Wyner's random binning, Gel'fand and Pinsker’s coding technique, and rate splitting. Furthermore, we compare our results with the existing approaches without feedback, with noiseless feedback, and without action-dependent states. The simulation results show that the secrecy capacity of our model is bigger than that of the first two existed approaches. Besides, it is also shown that, by taking actions to affect the channel states, we guarantee the data integrity of the message transmitted in the two-stage communication systems although the tolerable overhead of transmission time is brought.
Highlights
The framework of channels with action-dependent states was first introduced by Weissman [1] to model scenarios in which transmission took place in two successive phases
This paper studies the wiretap channel with action-dependent states and rate-limited feedback
It is a degraded channel model where the wiretap channel is degraded from the main channel
Summary
The framework of channels with action-dependent states was first introduced by Weissman [1] to model scenarios in which transmission took place in two successive phases. A message-dependent action sequence was selected by the encoder. The action sequence affected the formation of the channel states. The transmitter began to send the message to the receiver in the presence of the action-dependent states. In [1], the capacity of such a channel both for the case where the channel inputs were allowed to depend noncausally on the channel states and the case where they were restricted to causal dependence was obtained. After the publication of Weissman’s work, a number of extensions of the results in [1] have been reported; see [2,3,4,5,6]
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