基于LMS自适应时延估计算法，研究基于分数低阶的时延估计算法，包括:基于共变的时间延迟估计，基于分数低阶协方差的时延估计方法，还有最小平均P范数时延估计方法。 -Delay estimation algorithm based on LMS adaptive research based on the fractional lower order time delay estimation algorithm, including: covariation-based time delay estimation, based on the fractional lower order covariance delay estimation method, as well as the minimum norm when the average P delay estimation method.