Abstract:Based on the fractional lower order theory a novel fractional time delay estimation algorithm referred to as EFMML (Explicit Fractional lower order Mix Modulated Lagrange) under α stable distributed noise environment is proposed. The convergence condition of the proposed method is analyzed in theory. Computer simulation shows that the proposed method is robust for both Gaussian and non-Gaussian impulsive noises environments. And it is more effective than FSETDE (Fractional lower order Simplified Explicit Time Delay Estimation), an existing time delay estimation algorithm under α stable distributed noise environment.