本文首先提出了一条通过传输算子定义信号向量变换的途径,它不但能定义常用的正交变换,还能定义时变和递归的变换,且大大地减少了计算量。文章接着提出了用于递归LMS自适应滤波的变换导出了变换域自适应递归LMS算法,并给出证实算法可行性的模拟结果. In this paper, we first propose a way to transform the signal vector through the transfer operator, which can not only define the commonly used orthogonal transform, but also define the time-varying and recursive transformation, and greatly reduce the computational complexity. Then, the paper presents a new adaptive recursive LMS algorithm for transform domain adaptive recursive LMS filtering, and gives the simulation results to verify the feasibility of the algorithm.