High-SNR power offset in multiantenna communication

Angel Lozano, Antonia M. Tulino, Sergio Verdú

Research output: Contribution to journalArticlepeer-review

220 Scopus citations


The analysis of the multiple-antenna capacity in the high-SNR regime has hitherto focused on the high-SNR slope (or maximum multtplexing gain), which quantifies the multiplicative increase as a function of the number of antennas. This traditional characterization is unable to assess the impact of prominent channel features since, for a majority of channels, the slope equals the minimum of the number of transmit and receive antennas. Furthermore, a characterization based solely on the slope captures only the scaling but it has no notion of the power required for a certain capacity. This paper advocates a more refined characterization whereby, as a function of SNR dB, the high-SNR capacity is expanded as an affine function where the impact of channel features such as antenna correlation, unfaded components, etc., resides in the zero-order term or power offset. The power offset, for which we find insightful closed-form expressions, is shown to play a chief role for SNR levels of practical interest.

Original languageEnglish (US)
Pages (from-to)4134-4151
Number of pages18
JournalIEEE Transactions on Information Theory
Issue number12
StatePublished - Dec 2005

All Science Journal Classification (ASJC) codes

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


  • Antenna correlation
  • Channel capacity
  • Coherent communication
  • Fading channels
  • High-SNR analysis
  • Multiantenna arrays
  • Ricean channels


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