A Normal Least Mean Square adaptive filtering algorithm with rotating factor (NLMS-RF) is proposed and its performance and geometry property is analyzed in this paper.Furthermore
it is extend to a multi-channel Affine Projection Algorithm with rotating factor (APA-RF) for stereophonic echo cancellation.The computational complexity of the NLMS-RF is much lower than that of Sankaran's (1999)
and the computational complexity of the APA-RF is as much as that of Benesty's (1996).As compared with Benesty's (1996) and Sankaran's (1999)
the NLMS-RF and APA-RF is of faster convergence and more accuracy respectively.The simulation in MATLAB indicates its efficiency.