The impact of fading has been lessened by using multiple antennas at the receiver to receive the same transmitted copies through uncorrelated channels. Combining techniques at the receiver to take advantage of multipath necessitates channel knowledge. The existing channel estimation techniques like least squares, maximum likelihood, and minimum mean squared error are optimal in an additive white Gaussian noise scenario. However, since impulsive noise is likely to occur in a communication system, these optimal algorithms fall short. In this paper, we used the robust M-estimator with “Fair” cost function to achieve nearly optimal performance in an impulsive noise environment.