A Vector Generalization of Costa Entropy-Power Inequality and Applications Conference Paper

abstract

• This paper considers an entropy-power inequality (EPI) of Costa and presents a natural vector generalization with a real positive semidefinite matrix parameter. This new inequality is proved using a perturbation approach via a fundamental relationship between the derivative of mutual information and the minimum mean-square error (MMSE) estimate in linear vector Gaussian channels. As an application, a new extremal entropy inequality is derived from the generalized Costa EPI and then used to establish the secrecy capacity regions of the degraded vector Gaussian broadcast channel with layered confidential messages. 2009 IEEE.

name of conference

• 2009 IEEE International Symposium on Information Theory

authors

• Liu, Tie

published proceedings

• 2009 IEEE INTERNATIONAL SYMPOSIUM ON INFORMATION THEORY, VOLS 1- 4

author list (cited authors)

• Liu, R., Liu, T., Poor, H. V., & Shamai, S. S.

citation count

• 1

complete list of authors

• Liu, Ruoheng||Liu, Tie||Poor, H Vincent||Shamai, Shlomo Shitz

publication date

• June 2009

publisher

• Institute of Electrical and Electronics Engineers (IEEE)  Publisher

keywords

• 10 Reduced Inequalities
• 40 Engineering
• 4006 Communications Engineering

Digital Object Identifier (DOI)

• 10.1109/ISIT.2009.5205459

International Standard Book Number (ISBN) 13

• 978-1-4244-4312-3

start page

• 299

end page

• +

user-defined tag

• 10 Reduced Inequalities