On Extensions of the I-MMSE Relationship

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Grant Data
Project Title
On Extensions of the I-MMSE Relationship
Principal Investigator
Professor Han, Guangyue   (Principal Investigator (PI))
Co-Investigator(s)
Professor Shamai Shlomo   (Co-Investigator)
Dr Bustin Ronit   (Co-Investigator)
Duration
36
Start Date
2018-01-01
Amount
420574
Conference Title
On Extensions of the I-MMSE Relationship
Keywords
capacity, Gaussian feedback channels, Gaussian memory channels, mutual information, Shannon theory
Discipline
Others - MathematicsApplied Mathematics
Panel
Physical Sciences (P)
HKU Project Code
17301017
Grant Type
General Research Fund (GRF)
Funding Year
2017
Status
Completed
Objectives
1 We plan to further extend the I-MMSE relationship to colored Gaussian feedback channels, general feedback channels and its limiting version in terms of mutual information rate. 2 We plan to explore the properties of the extended MMSE. 3 We plan to explore the applications of the extended I-MMSE relationship to Gaussian feedback and memory channels, and their multi-user and MIMO versions. 4 We plan to explore the applications of our new approach to other information- theoretic quantities, higher order derivatives, information-theoretic inequalities, sampling theorems.