Derivative of mutual information at zero SNR: The gaussian-noise case

Yihong Wu, Dongning Guo, Sergio Verdú

Research output: Contribution to journalArticlepeer-review

4 Scopus citations


Assuming additive Gaussian noise, a general sufficient condition on the input distribution is established to guarantee that the ratio of mutual information to signal-to-noise ratio (SNR) goes to one half nat as SNR vanishes. The result allows SNR-dependent input distribution and side information.

Original languageEnglish (US)
Article number5953516
Pages (from-to)7307-7312
Number of pages6
JournalIEEE Transactions on Information Theory
Issue number11
StatePublished - Nov 2011

All Science Journal Classification (ASJC) codes

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


  • Gaussian noise
  • low-power regime
  • minimum mean-square error (MMSE)
  • mutual information
  • signal-to-noise ratio (SNR)


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