Elements of information theory
Elements of information theory
Coding Theorems of Information Theory
Coding Theorems of Information Theory
Information Theory and Reliable Communication
Information Theory and Reliable Communication
Information Theory: Coding Theorems for Discrete Memoryless Systems
Information Theory: Coding Theorems for Discrete Memoryless Systems
The capacity of channels with feedback
IEEE Transactions on Information Theory
Finite state channels with time-invariant deterministic feedback
IEEE Transactions on Information Theory
The capacity region of the degraded multiple-input multiple-output compound broadcast channel
IEEE Transactions on Information Theory
The two-user compound interference channel
IEEE Transactions on Information Theory
Capacity, mutual information, and coding for finite-state Markov channels
IEEE Transactions on Information Theory
The compound channel capacity of a class of finite-state channels
IEEE Transactions on Information Theory
Universal decoding for channels with memory
IEEE Transactions on Information Theory
Reliable communication under channel uncertainty
IEEE Transactions on Information Theory
Capacity results for the discrete memoryless network
IEEE Transactions on Information Theory
Variable length coding over an unknown channel
IEEE Transactions on Information Theory
A Coding Theorem for a Class of Stationary Channels With Feedback
IEEE Transactions on Information Theory
Feedback does not increase the capacity of discrete channels with additive noise
IEEE Transactions on Information Theory
Feedback capacity of a class of symmetric finite-state Markov channels
Allerton'09 Proceedings of the 47th annual Allerton conference on Communication, control, and computing
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In this work, we find the capacity of a compound finite-state channel (FSC) with time-invariant deterministic feedback. We consider the use of fixed length block codes over the compound channel. Our achievability result includes a proof of the existence of a universal decoder for the family of FSCs with feedback. As a consequence of our capacity result, we show that feedback does not increase the capacity of the compound Gilbert-Elliot channel. Additionally, we show that for a stationary and uniformly ergodic Markovian channel, if the compound channel capacity is zero without feedback then it is zero with feedback. Finally, we use our result on the FSC to show that the feedback capacity of the memoryless compound channel is given by infθ maxQX I(X;Y|θ).