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Mutual information of IID complex Gaussian signals on block Rayleigh-faded channels
Rusek, Fredrik; Lozano Solsona, Àngel; Jindal, Nihar
Universitat Pompeu Fabra
We present a method to compute, quickly and efficiently, the mutual information achieved by an IID (independent identically distributed) complex Gaussian signal on a block Rayleigh-faded channel without side information at the receiver. The method accommodates both scalar and MIMO (multiple-input multiple-output) settings. Operationally, this mutual information represents the highest spectral efficiency that can be attained using Gaussiancodebooks. 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.
The work of A. Lozano is supported by the Spanish Ministry of Scienceand Innovation (Refs. TEC2009-13000 and CONSOLIDER-INGENIO CSD2008-00010 ”COMONSENS”) and by AGAUR (Catalan Agency forAdministration of University and Research Grants).
Ràdio -- Antenes
Comunicació sense fil, Sistemes de
Tractament del senyal
Wireless communications
Mutual information
Non-coherent spectral efficiency
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