Abstract: Fast independent component analysis algorithm is difficult to be realized by hardware，while independent component analysis based on Huber M estimator is easy to be realized by hardware，but its robustness need to be improved.To overcome the problem，a new fast independent component analysis algorithm which can be easily realized by hardware and is more robust is proposed.This new algorithm uses Tukey function which is easy to be realized by hardware and is robust as nonlinear function of cost function，and deduces the improved algorithm by using Newton iterative method to optimize the cost function.Simulations prove the correctness and robustness of the algorithm.