关键词: 自适应滤波器, 酉空间, 最大相关熵准则, 最小均方差算法, 非线性噪声

Abstract: Considering the problems for nonlinearnoise processing and taking account of that higher-order statistics of the signal and unitary space can be a good deal with non-Gaussian noise，the noise processing algorithm based on Max Correntropy Criteria (MCC) in the time domain and the unitary space was proposed. Combining the MCC and gradient descent algorithm, a nonlinearnoise filtering algorithm in the time domain was designed. At the same time, extending the algorithm to the noise processing in the unitary space, the unitary space filtering algorithm based on the MCC was put forward. The simulation study shows that the algorithm based on the MCC algorithm has significant advantages compared with the traditional Least Mean Square (LMS) based filtering algorithm, which means it can achieve more complete signal characteristics by faster convergence.

Key words: adaptive filter, unitary space, Max Correntropy Criteria (MCC), Least Mean Square (LMS) algorithm, nonlinear noise