Mutual Information of IID Complex Gaussian Signals on Block Rayleigh-Faded Channels

Fredrik Rusek, Angel Lozano, Nihar Jindal

Research output: Contribution to journalArticlepeer-review

25 Citations (SciVal)


We present a method to compute, quickly and efficiently, the mutual information achieved by an independent identically distributed (IID) complex Gaussian signal on a block Rayleigh-faded channel without side information at the receiver. The method accommodates both scalar and multiple-input multiple-output (MIMO) settings. Operationally, this mutual information represents the highest spectral efficiency that can be attained using Gaussian codebooks. Examples are provided that illustrate the loss in spectral efficiency caused by fast fading and how that loss is amplified when multiple transmit antennas are used. These examples are further enriched by comparisons with the channel capacity under perfect channel-state information at the receiver, and with the spectral efficiency attained by pilot-based transmission.
Original languageEnglish
Pages (from-to)331-340
JournalIEEE Transactions on Information Theory
Issue number1
Publication statusPublished - 2012

Subject classification (UKÄ)

  • Electrical Engineering, Electronic Engineering, Information Engineering


  • MIMO
  • multiantenna
  • mutual information
  • non-coherent
  • spectral
  • efficiency
  • wireless communications


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