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IEEE/CIC International Conference on Communications in China (ICCC)

The role of feedback in channels with information embedding on actions

Xinxing Yin, Xiao Chen, Pengze Guo, Zhi Xue

Published Oct 1, 2014• 1 citation
Publisher

Abstract

The noiseless feedback is introduced in channels with information embedding on actions. Two channel models are considered. One is wiretap channel with information embedding on actions and noiseless feedback (WT-IEANF), the other is degraded broadcast channel with noncausal action-dependent states and noiseless feedback (DBC-NADSNF). For the WT-IEANF, we characterize both inner and outer bounds on the capacity-equivocation region. For the DBC-NADSNF, an inner bound on the capacity-equivocation region is obtained, and a proper coding scheme is constructed, in which the noiseless feedback plays the role of a shared secret key between the transmitter and legal receiver. We find that the feedback does help increase the secure information transmission rates of the two models, but, at the same time, it enables the illegal receiver to get another chance to eavesdrop the private message. Besides, when secrecy constraint condition is removed, it is found that feedback is not useful for enhancing the capacity of the channel with information embedding on actions.

DOI
10.1109/iccchina.2014.7008240

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The noiseless feedback is introduced in channels with information embedding on actions. Two channel models are considered. One is wiretap channel with information embedding on actions and noiseless feedback (WT-IEANF), the other is degraded broadcast channel with noncausal action-dependent states and noiseless feedback (DBC-NADSNF). For the WT-IEANF, we characterize both inner and outer bounds on the capacity-equivocation region. For the DBC-NADSNF, an inner bound on the capacity-equivocation region is obtained, and a proper coding scheme is constructed, in which the noiseless feedback plays the role of a shared secret key between the transmitter and legal receiver. We find that the feedback does help increase the secure information transmission rates of the two models, but, at the same time, it enables the illegal receiver to get another chance to eavesdrop the private message. Besides, when secrecy constraint condition is removed, it is found that feedback is not useful for enhancing the capacity of the channel with information embedding on actions.
Information embedding on actions is a new channel model in which a specific decoder is used to observe the actions taken by the encoder and retrieve part of the message intended for the receiver. We revisit this model and consider a different scenario where a secrecy constraint is imposed. By adding a wiretapper in the model, we aim to send the confidential message to the receiver and keep it secret from the wiretapper as much as possible. We characterize the inner and outer bounds on the capacity-equivocation region of such a channel with noncausal (and causal) channel state information. Furthermore, the lower and upper bounds on the sum secrecy capacity are also obtained. Besides, by eliminating the specific decoder, we get a new outer bound on the capacity-equivocation region of the wiretap channel with action-dependent states and prove it is tighter than the existing outer bound. A binary example is presented to illustrate the tradeoff between the sum secrecy rate and the information embedding rate under the secrecy constraint. We find that the secrecy constraint and the communication requirements of information embedding have a negative impact on improving the secrecy transmission rate of the given communication link.
Information embedding on actions is a new channel model in which a specific decoder is used to observe the actions taken by the encoder and retrieve part of the message intended for the receiver. We revisit this model and consider a more practical scenario where secrecy constraints are imposed. By adding a wiretapper in the model, we aim to send the confidential message to the receiver and keep it secret from the wiretapper as much as possible. We characterize the inner and outer bounds on the capacity-equivocation region of such a channel with noncausal (and causal) channel state information. Furthermore, the lower and upper bounds on the secrecy capacity are also obtained. Besides, by eliminating the specific decoder, we get a new outer bound on the capacity-equivocation region of wiretap channel with action-dependent states and prove it is tighter than the existing outer bound.
This paper investigates the secure data transmission in the broadcast channel with noiseless feedback by using the information-theoretic method. We consider transmitting a private message and a common message to two receivers, of which the common message is to be decoded by both receivers while the private message is only for the intended receiver. The channel to the intended receiver is assumed to be independent of that to the other receiver. Feedback from the output of the intended receiver is used as a shared secret key to enhance the secrecy in the transmission. The capacity-equivocation region and the secrecy capacity of this new model are obtained. We find the secrecy capacity is enhanced by using feedback, even in the case that the other receiver is in a better position than the intended receiver. In addition, our results generalize the secrecy capacity of the degraded wiretap channel with secure feedback, and the capacity region of the degraded broadcast channel.
In this paper, we investigate the state-dependent degraded broadcast channels with confidential messages (SD-DBC-CM), and with or without noiseless feedback. In this new model, the channel state is available at the transmitter in a noncausal or causal manner, and there may exist a noiseless feedback link from the nondegraded receiver to the transmitter. For the discrete memoryless SD-DBC-CM, inner and outer bounds on the capacity-equivocation regions are provided for both the noncausal and causal cases. For the discrete memoryless SD-DBC-CM with feedback, inner and outer bounds on the capacity-equivocation region are provided for the noncausal case, and the capacity-equivocation region is determined for the causal case. The results of this paper are further explained via Gaussian and binary examples.
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.
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.