New outer bounds for wiretap channel with action-dependent states

The action-dependent states (ADSs) in wiretap channel is revisited. The transmitter aims to convey a confidential message to the receiver and protect it from the wiretapper as possible as he can. Actions are taken by the transmitter to influence the channel state information. For such a channel, Dai et al. first got an outer bound on the capacity-equivocation region which contains all the achievable transmission rates. We find a new outer bound and prove it is better than Dai's in terms of approximating the maximum rate at which the confidential message can be transmitted in perfect secrecy. Furthermore, the new outer bound provides the engineer with a more precise target to achieve higher transmission rates in the capacity-equivocation region.

[1]  Yuan Luo,et al.  Wiretap Channel in the Presence of Action-Dependent States and Noiseless Feedback , 2013, J. Appl. Math..

[2]  Xiaohu Tang,et al.  Wiretap Channel with Action-Dependent Channel State Information , 2013, Entropy.

[3]  Haim H. Permuter,et al.  Probing Capacity , 2010, IEEE Transactions on Information Theory.

[4]  Urbashi Mitra,et al.  How useful is adaptive action? , 2012, 2012 IEEE Global Communications Conference (GLOBECOM).

[5]  Imre Csiszár,et al.  Broadcast channels with confidential messages , 1978, IEEE Trans. Inf. Theory.

[6]  Tobias J. Oechtering,et al.  Coding With Action-Dependent Side Information and Additional Reconstruction Requirements , 2012, IEEE Transactions on Information Theory.

[7]  Tsachy Weissman,et al.  The degraded broadcast channel with action-dependent states , 2012, 2012 IEEE International Symposium on Information Theory Proceedings.

[8]  Tsachy Weissman.  Capacity of Channels With Action-Dependent States , 2010, IEEE Trans. Inf. Theory.

[9]  Yuan Luo,et al.  Some New Results on the Wiretap Channel with Side Information , 2012, Entropy.

[10]  Urbashi Mitra,et al.  Action dependent strictly causal state communication , 2012, 2012 IEEE International Symposium on Information Theory Proceedings.

[11]  Osvaldo Simeone,et al.  On channels with action-dependent states , 2012, 2012 IEEE Information Theory Workshop.

[12]  Imre Csiszár,et al.  Information Theory - Coding Theorems for Discrete Memoryless Systems, Second Edition , 2011 .

[13]  I. Csiszár.  Information Theory , 1981 .