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Capacity scaling in MIMO wireless systems under correlated fading

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4 Author(s)
Chuah, Chen-Nee ; Dept. of Electr. & Comput. Eng., California Univ., Davis, CA, USA ; Tse, D.N.C. ; Kahn, J.M. ; Valenzuela, R.A.

Previous studies have shown that single-user systems employing n-element antenna arrays at both the transmitter and the receiver can achieve a capacity proportional to n, assuming independent Rayleigh fading between antenna pairs. We explore the capacity of dual-antenna-array systems under correlated fading via theoretical analysis and ray-tracing simulations. We derive and compare expressions for the asymptotic growth rate of capacity with n antennas for both independent and correlated fading cases; the latter is derived under some assumptions about the scaling of the fading correlation structure. In both cases, the theoretic capacity growth is linear in n but the growth rate is 10-20% smaller in the presence of correlated fading. We analyze our assumption of separable transmit/receive correlations via simulations based on a ray-tracing propagation model. Results show that empirical capacities converge to the limit capacity predicted from our asymptotic theory even at moderate n = 16. We present results for both the cases when the transmitter does and does not know the channel realization

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Information Theory, IEEE Transactions on  (Volume:48 ,  Issue: 3 )