In this paper, the authors propose a new method to simultaneously estimate the mean angle of arrival (AoA), the angular spread (AS) and the maximum Doppler spread (DS). They exploit the multiple-input multiple-output (MIMO) Rayleigh channel with uniform linear arrays at both the transmitter and the receiver. They also consider the Gaussian and the Laplacian angular distributions for the incoming AoAs. The proposed method uses the first and the second derivatives of the received signals cross-correlation functions. They take as benchmarks two estimators from the literature for the three parameters estimates. The spread root multiple signal classification (MUSIC) (SRM) estimator is used for the mean AoA and the AS parameters, whereas the auto-correlation function (ACF)-based approach is considered for the maximum DS estimates. These methods were developed for single-input multiple-output and singleinput single-output systems. In this paper, the authors extend these algorithms to a MIMO configuration. Simulation results show that their algorithm outperforms the SRM one for the mean AoA and the AS estimation. For the maximum DS estimation, their approach offers lower error rate than the ACF-based one when the AS and the mean AoA are small. For higher values of the couple AS and mean AoA, their algorithm presents similar results.