An extremal inequality motivated by multiterminal information-theoretic problems Conference Paper

abstract

• We prove a new extremal inequality, motivated by the vector Gaussian broadcast channel and the distributed source coding with a single quadratic distortion constraint problems. As a corollary, this inequality yields a generalization of the classical entropy-power inequality (EPI). As another corollary, this inequality sheds insight into maximizing the differential entropy of the sum of two dependent random variables. 2007 IEEE.

authors

• Liu, Tie

published proceedings

• IEEE TRANSACTIONS ON INFORMATION THEORY

author list (cited authors)

• Liu, T., & Viswanath, P.

citation count

• 148

complete list of authors

• Liu, Tie||Viswanath, Pramod

publication date

• May 2007

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

published in

• IEEE TRANSACTIONS ON INFORMATION THEORY  Journal

keywords

• Differential Entropy
• Distributed Source Coding
• Entropy-power Inequality (ept)
• Fisher Information
• Vector Gaussian Broadcast Channel

Digital Object Identifier (DOI)

• 10.1109/TIT.2007.894680

start page

• 1839

end page

• 1851

volume

• 53

issue

• 5

URL

• http%3A%2F%2Fdx.doi.org%2F10.1109%2Ftit.2007.894680

user-defined tag

• 10 Reduced Inequalities