TY - JOUR
T1 - An extremal inequality motivated by multiterminal information-theoretic problems
AU - Liu, Tie
AU - Viswanath, Pramod
N1 - Funding Information:
Manuscript received April 21, 2006; revised November 7, 2006. This work was supported by the National Science Foundation under Grant 0237549. The material in this correspondence was presented in part at the IEEE International Symposium on Information Theory, Seattle, WA, July 2006. T. Liu is with the Department of Electrical and Computer Engineering, Texas A&M University, College Station, TX 77843 USA (e-mail: [email protected]. edu). P. Viswanath is with the Department of Electrical and Computer Engineering, University of Illinois at Urbana-Champaign, Urbana, IL 61801 USA (e-mail: [email protected]). Communicated by Y. Steinberg, Associate Editor for Shannon Theory. Digital Object Identifier 10.1109/TIT.2007.894680
PY - 2007/5
Y1 - 2007/5
N2 - 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.
AB - 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.
KW - Differential entropy
KW - Distributed source coding
KW - Entropy- power inequality (EPI)
KW - Fisher information
KW - Vector Gaussian broadcast channel
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U2 - 10.1109/TIT.2007.894680
DO - 10.1109/TIT.2007.894680
M3 - Article
AN - SCOPUS:34248373869
SN - 0018-9448
VL - 53
SP - 1839
EP - 1851
JO - IEEE Transactions on Information Theory
JF - IEEE Transactions on Information Theory
IS - 5
ER -