The traditional HB-weighted time-delay estimation (TDE) method degenerates under the impulsive noise environment.Two new time-delay estimation methods are proposed based on fractional lower order statistics (FLOS) according to the impulsive characteristics of fractional lower order a-stable noises.Theoretic analysis and computer simulations indicate that the proposed covariation based HB weighted (COV-HB) algorithm can suppress impulsive noises in one received signal for 1≤α≤2,whereas the other proposed fractional lower order covariance- based HB weighted (FLOC-HB) algorithm has robust performance under arbitrary impulsive noise conditions for the whole range of 0<α≤2.
