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Bayesian Multiple Estimation in Flat Rician Fading MIMO Channels

H. Nooralizadeh
Department of Electrical Engineering, Islamshahr Branch, Islamic Azad University, Islamshahr, Iran
Abstract—In this paper, the performance of the single-estimation (SE) and multiple-estimation (ME) is investigated in multiple-input multiple-output (MIMO) Rician flat fading channels using the traditional least squares (LS) estimator and the Bayesian minimum mean square error (MMSE) estimator. The closed form equations are obtained for mean square error (MSE) of the estimators in SE and ME cases under optimal training. In ME case, the optimal weight coefficients are achieved for both estimators. Analytical and numerical results show that the LS estimator has lower error in the case of ME than SE. Moreover, it is seen that the performance of MMSE channel estimator in the ME case is better than SE particularly at high signal to noise ratios (SNRs). Furthermore, it is shown that this estimator is more appropriate for the channels with weak line of sight (LOS) propagation paths and/or the low correlations.

Index Terms—rician fading, multiple estimation, least squares, minimum mean square error, multiple-input multiple-output

Cite: H. Nooralizadeh, "Bayesian Multiple Estimation in Flat Rician Fading MIMO Channels," International Journal of Signal Processing Systems, Vol. 3, No. 1, pp. 65-70, June 2015. doi: 10.12720/ijsps.3.1.65-70
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