Non-coherent Rayleigh fading MIMO channels: Capacity and optimal input

Rasika R. Perera, Tony S. Pollock, Thushara D. Abhayapala

    Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

    5 Citations (Scopus)

    Abstract

    Information transfer over a discrete time uncorrected Rayleigh fading multiple input multiple output (MIMO) channel is considered, where neither the transmitter nor the receiver has the knowledge of the channel state information (CSI) except the fading statistics. We derive a capacity supremum with the receive antenna number at any signal to noise ratio (SNR) using Lagrange optimisation. We show that the asymptotic capacity is double logarithmic when the input power is large. We prove that to achieve the capacity, the amplitude of the multiple input needs to have a discrete distribution with a finite number of mass points, one of them necessarily located at the origin. We show how to compute the capacity numerically in multi-antenna configuration at any SNR with the discrete input using the KuhnTucker condition for optimality. Furthermore, we show that the capacity with two mass points is optimal at low SNR signifying on-off keying. As the number of receive antennas increases, the maximum SNR at which two mass points are optimal decreases.

    Original languageEnglish
    Title of host publication2006 IEEE International Conference on Communications, ICC 2006
    PublisherInstitute of Electrical and Electronics Engineers Inc.
    Pages4180-4185
    Number of pages6
    ISBN (Print)1424403553, 9781424403554
    DOIs
    Publication statusPublished - 2006
    Event2006 IEEE International Conference on Communications, ICC 2006 - Istanbul, Turkey
    Duration: 11 Jul 200615 Jul 2006

    Publication series

    NameIEEE International Conference on Communications
    Volume9
    ISSN (Print)0536-1486

    Conference

    Conference2006 IEEE International Conference on Communications, ICC 2006
    Country/TerritoryTurkey
    CityIstanbul
    Period11/07/0615/07/06

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