Performance of space-time codes in the presence of spatial fading correlation


Helmut Bölcskei and Arogyaswami J. Paulraj


Asilomar Conf. on Signals, Systems, and Computers, Pacific Grove (CA), Vol. 1, pp. 687-693, Oct. 2000, (invited paper).

DOI: 10.1109/ACSSC.2000.911041

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Previous work on space-time coding has been restricted to the idealistic case of uncorrelated spatial fading. In practice, however, insufficient antenna spacing or lack of scattering cause the individual antennas to be correlated. In this paper, we study the impact of spatial fading correlation on the performance of space-time codes. In particular, we quantify the loss in diversity gain and coding gain as a function of angle spread and antenna spacing. We furthermore show that if a space-time code achieves full diversity in the uncorrelated case, the diversity order achieved in the correlated case is given by the product of the rank of the transmit correlation matrix and the rank of the receive correlation matrix. Finally, we provide simulation results demonstrating the impact of spatial fading correlation on the symbol error rate of space-time codes.


Space-time coding, transmit diversity, MIMO, fading correlation, error probability

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