Doppler shift estimator with MMSE parameter optimization for very low SNR environment in wireless communications

A novel iterative Doppler shift estimator is proposed in very low signal-noise-ratio (SNR) environments in single carrier mobile systems. The proposed method exploits the logarithm envelope (LE) of channel estimates, and iteratively finds the minimum mean square error (MMSE) estimation of Doppler shift. Extensive simulations conducted under a wide range of noise corruption clearly show that the proposed estimator substantially outperforms several existing estimators in terms of accuracy.