Diffusion weighted magnetic resonance (DW-MR) imaging suffers from physiological noise such as artifacts caused by motion or system instabilities. This obviates the need for robust diffusion parameter estimation techniques. In the past, several techniques have been presented including RESTORE and iRESTORE. However, these techniques are based on nonlinear estimators, and are consequently computationally intensive. We present a new robust, iteratively reweighted linear least squares (IRLLS) estimator.