The　adaptive　variable　step-size　technique　is　an　effective　way　to　improve　the　convergence　rate　of　an　adaptive　filtering　algorithm.　However,　for　most　existing　variable　step-size　sign　algorithm　against　impulsive　noise,　either　the　performance　is　not　good　enough,　or　the　calculation　is　complex.　In　this　paper,　a　correntropy　inspired　variable　step-size　method　for　sign　algorithm　is　proposed.　The　new　variable　step-size　method　is　computationally　simple　and　robust　to　impulsive　noises.　Theoretical　analysis　and　simulation　results　demonstrate　that　the　proposed　algorithm　can　achieve　desirable　performance　with　low　computational　complexity　in　presence　of　impulsive　noises.　(C)　2017　Elsevier　B.V.　All　rights　reserved.