An extremal inequality motivated by multiterminal information-theoretic problems

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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.

Original languageEnglish (US)
Pages (from-to)1839-1851
Number of pages13
JournalIEEE Transactions on Information Theory
Issue number5
StatePublished - May 2007
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Information Systems
  • Computer Science Applications
  • Library and Information Sciences


  • Differential entropy
  • Distributed source coding
  • Entropy- power inequality (EPI)
  • Fisher information
  • Vector Gaussian broadcast channel


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