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Computing the capacity of a MIMO fading channel under PSK signaling

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2 Author(s)
He, W. ; Dept. of Electr. Eng., Texas A&M Univ., College Station, TX, USA ; Georghiades, C.N.

We study the constrained capacity of a multiple-input multiple-output (MIMO) fading channel with a phase-shift keying (PSK) input alphabet and show a uniform prior distribution is capacity achieving. An expression for the capacity is derived which requires a single expectation and can be evaluated easily through simulation. The simulations are facilitated by analytical expressions for the eigenvalues and eigenvectors of a required covariance matrix. The derived expression is used to provide good approximations to the capacity at low signal-to-noise ratios (SNRs) as well as to compare the input-constrained MIMO capacity to the unconstrained MIMO capacity.

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Information Theory, IEEE Transactions on  (Volume:51 ,  Issue: 5 )