“…Unfortunately, they happen more in reality than we hoped. Up to now, many types the cost functions have been used to design adaptive filtering algorithms, such as least mean absoult third 18 , least mean fourth 19 , entropy 20 , least-squares estimator 21 , absolute value estimator 22 , the Cauchy 23 , Geman–McClure 24 , Welsch 25 , 26 , and Huber function 27 – 30 . Specifically, the least-squares estimator is not robust because their influence function is not bounded 21 , and the absolute value estimator is not stable because the function of estimate error ( ) at i -th is not strictly convex 22 .…”