Relations Between Information and Estimation in the Presence of Feedback
DOI10.1007/978-3-319-02150-8_5zbMath1304.93074arXiv1110.6654OpenAlexW183849561MaRDI QIDQ5497044
Tsachy Weissman, Himanshu Asnani, Kartik Venkat
Publication date: 30 January 2015
Published in: Information and Control in Networks (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1110.6654
Girsanov theoryItô's calculuswhite Gaussian noiseontinuous-time sourcerelations between information--theoretic quantities and estimation-theoretic quantities
Estimation and detection in stochastic control theory (93E10) White noise theory (60H40) Channel models (including quantum) in information and communication theory (94A40)
Related Items (1)
Cites Work
- Unnamed Item
- Entropy and the central limit theorem
- The heat equation and Stein's identity: connections, applications
- Directed Information, Causal Estimation, and Communication in Continuous Time
- Pointwise Relations Between Information and Estimation in Gaussian Noise
- Some inequalities satisfied by the quantities of information of Fisher and Shannon
- On Transforming a Certain Class of Stochastic Processes by Absolutely Continuous Substitution of Measures
- Mutual Information and Minimum Mean-Square Error in Gaussian Channels
- On Mutual Information, Likelihood Ratios, and Estimation Error for the Additive Gaussian Channel
- Representation of Mutual Information Via Input Estimates
- Lautum Information
- Functional Properties of Minimum Mean-Square Error and Mutual Information
- Mutual Information, Relative Entropy, and Estimation in the Poisson Channel
- Data Processing Theorems and the Second Law of Thermodynamics
- Estimation in Gaussian Noise: Properties of the Minimum Mean-Square Error
- The Relationship Between Causal and Noncausal Mismatched Estimation in Continuous-Time AWGN Channels
- Mismatched Estimation and Relative Entropy
- Elements of Information Theory
- On the Calculation of Mutual Information
- Mutual information of the white Gaussian channel with and without feedback
This page was built for publication: Relations Between Information and Estimation in the Presence of Feedback