“…Adaptive filter (AF) algorithms are frequently employed in linear systems [ 1 – 3 ], nonlinear systems [ 4 ], and distributed network systems [ 5 ] and have been used in many fields, including biomedical engineering [ 6 , 7 ]. Among adaptive filter algorithms, the least mean square (LMS) algorithm has probably become the most popular adaptive filtering algorithm for its simple configuration, low computational complexity, sufficient tracking capability, and easiness of implementation [ 2 , 3 , 5 , 7 – 13 ]. However, in actual engineering, non-Gaussian distribution measurement noise with a heavy-tailed pdf, e.g., a Laplace or α-stable noise, is everywhere [ 8 , 12 , 14 ].…”