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    Constrained capacity of MIMO Rayleigh fading channels

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    HE-THESIS.pdf (329.1Kb)
    Date
    2011-08-08
    Author
    He, Wenyan
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    Abstract
    In this thesis channel capacity of a special type of multiple-input multiple-output (MIMO) Rayleigh fading channels is studied, where the transmitters are subject to a finite phase-shift keying (PSK) input alphabet. The constraint on the input alphabet makes an analytical solution for the capacity beyond reach. However we are able to simplify the final expression, which requires a single expectation and thus can be evaluated easily through simulation. To facilitate simulations, analytical expressions are derived for the eigenvalues and eigenvectors of a covariance matrix involved in the simplified capacity expression. The simplified expression is used to provide some good approximations to the capacity at low signal-to-noise ratios (SNRs). Involved in derivation of the capacity is the capacity-achieving input distribution. It is proved that a uniform prior distribution is capacity achieving. We also show that it is the only capacity-achieving distribution for our channel model. On top of that we generalize the uniqueness case for an input distribution to a broader range of channels.
    URI
    http://hdl.handle.net/1969.1/ETD-TAMU-2011-05-9486
    Subject
    capacity-achieving distribution
    constrained input
    MIMO capacity
    prior distribution
    PSK signaling
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    • Electronic Theses, Dissertations, and Records of Study (2002– )
    Citation
    He, Wenyan (2011). Constrained capacity of MIMO Rayleigh fading channels. Master's thesis, Texas A&M University. Available electronically from http : / /hdl .handle .net /1969 .1 /ETD -TAMU -2011 -05 -9486.

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