Tight lower bounds on the ergodic capacity of Rayleigh fading MIMO channels


Özgür Oyman, Rohit U. Nabar, Helmut Bölcskei, and Arogyaswami J. Paulraj


Proc. of IEEE Global Telecommunications Conference (GLOBECOM), Taipei, Taiwan, R.O.C., Vol. 2, pp. 1172-1176, Nov. 2002.

DOI: 10.1109/GLOCOM.2002.1188380

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In this paper, we consider Gaussian multiple-input multiple-output (MIMO) fading channels assuming that the channel is unknown at the transmitter and perfectly known at the receiver. Using results from multivariate statistics, we derive a tight closed-form lower-bound for the ergodic capacity of such channels at any signal-to-noise ratio (SNR). Moreover, we provide an accurate closed-form analytical approximation of ergodic capacity in the high SNR regime. Our analysis incorporates the frequency-selective Rayleigh fading case and/or spatial fading correlation, and allows important insights into optimal (ergodic capacity maximizing) MIMO configurations. Finally, we verify our analytical expressions through comparison with numerical results.


MIMO wireless, ergodic capacity, fading correlation

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