The capacity of channels with feedback
IEEE Transactions on Information Theory
Feedback capacity of stationary Gaussian channels
IEEE Transactions on Information Theory
Feedback strategies for a class of two-user multiple-access channels
IEEE Transactions on Information Theory
Capacity results for the discrete memoryless network
IEEE Transactions on Information Theory
Mutual information and minimum mean-square error in Gaussian channels
IEEE Transactions on Information Theory
A Coding Theorem for a Class of Stationary Channels With Feedback
IEEE Transactions on Information Theory
Capacity of the Trapdoor Channel With Feedback
IEEE Transactions on Information Theory
Scanning and Sequential Decision Making for Multidimensional Data—Part II: The Noisy Case
IEEE Transactions on Information Theory
Directed information, causal estimation, and communication in continuous time
WiOPT'09 Proceedings of the 7th international conference on Modeling and Optimization in Mobile, Ad Hoc, and Wireless Networks
The relationship between causal and noncausal mismatched estimation in continuous-time AWGN channels
IEEE Transactions on Information Theory
Journal of Computational Neuroscience
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The notion of directed information is introduced for stochastic processes in continuous time. Properties and operational interpretations are presented for this notion of directed information, which generalizes mutual information between stochastic processes in a similar manner as Massey's original notion of directed information generalizes Shannon's mutual information in the discrete-time setting. As a key application, Duncan's theorem is generalized to estimation problems in which the evolution of the target signal is affected by the past channel noise, and the causal minimum mean squared error estimation is related to directed information from the target signal to the observation corrupted by additive white Gaussian noise. An analogous relationship holds for the Poisson channel.