The ESPRIT algorithm is an attractive solution to many parameter estimation problems due to its low computational cost. In this paper we apply ESPRIT to the estimation of the Angle of Arrivals (AoA), the Angle of Departures (AoD), the Delays and the Doppler Shifts of different components of the received signal. Due to the structure of the Channel Impulse Response Matrix of a MIMO-OFDM system, these four sets of parameters can be jointly estimated via a 4-dimensional algorithm, thus the need for pairing them is eliminated. The estimates of these parameters can essentially be utilized in localization algorithms applicable to Non-Line-of-Sight (NLoS) environments