2012-04-16
Robust Calculations of Maximum Ratio Combining Diversity Gains Based on Stochastic Measurements
By
Progress In Electromagnetics Research Letters, Vol. 31, 107-112, 2012
Abstract
Previous works on maximum ratio combining (MRC) diversity have derived a closed-form cumulative distribution function (CDF), referred to as Lee's formula, for spatially correlated Rayleigh fading channels. It is usually believed that (due to its singularity) Lee's formula will result in large numerical error when two eigenvalues of a diversity antenna's covariance matrix are close to each other. This letter shows that the limit of Lee's formula converges to the true CDF as eigenvalues converge to each other, which implies that Lee's formula is robust in determining diversity gains of arbitrary antennas based on stochastic measurements.
Citation
Xiaoming Chen, "Robust Calculations of Maximum Ratio Combining Diversity Gains Based on Stochastic Measurements," Progress In Electromagnetics Research Letters, Vol. 31, 107-112, 2012.
doi:10.2528/PIERL12022301
References

1. Schwartz, M., W. R. Bennet, and S. Stein, Communication Systems and Techniques, McGraw-Hill, 1966.

2. Vaughan, R. G. and J. B. Andersen, "Antenna diversity in mobile communications," IEEE Trans. Vehic. Technol., Vol. 36, 149-172, 1987.
doi:10.1109/T-VT.1987.24115        Google Scholar

3. Li, J.-F., Q.-X. Chu, and X.-X. Guo, "Tri-band four-element MIMO antenna with high isolation," Progress In Electromagnetics Research C, Vol. 24, 235-249, 2011.
doi:10.2528/PIERC11082305        Google Scholar

4. Chung, J.-Y., T. Yang, and J. Y. Lee, "Low correlation MIMO antennas with negative group delay," Progress In Electromagnetics Research C, Vol. 22, 151-163, 2011.
doi:10.2528/PIERC11051007        Google Scholar

5. Lee, W. C. Y., "Mutual coupling effect on maximum-ratio diversity combiners and application to mobile ratio," IEEE Trans. Commun. Technol., Vol. 18, 779-791, 1970.
doi:10.1109/TCOM.1970.1090428        Google Scholar

6. Norklit, O., P. D. Teal, and R. G. Vaughan, "Measurement and evaluation of multi-antenna handsets in indoor mobile communication," IEEE Trans. Antennas Propagat., Vol. 49, 429-437, 2001.
doi:10.1109/8.918617        Google Scholar

7. Hui, H. T., "Fast calculation of diversity gain in correlated Rician-fading channels," IEEE Antennas Wireless Propagat. Lett., Vol. 5, 446-449, 2006.
doi:10.1109/LAWP.2006.872419        Google Scholar

8. Turin, G. L., "The characteristics function of Hermitian quadratic forms in complex normal variables," Biometrika Trust, Vol. 47, No. 1-2, 199-201, 1960.
doi:10.1093/biomet/47.1-2.199        Google Scholar

9. Williams, D., Probability with Martingales, Cambridge University Press, 1991.