The frequency-domain adaptive filter (FDAF) is a competitive candidate for stereo acoustic echo cancellation (SAEC) because of its good convergence and computational efficiency. However, there is a conflict between the convergence rate and the steady-state misalignment when using a constant step size. In this paper, a variable step-size approach is proposed for the stereo echo canceller in the frequency domain. The proposed method uses a first-order Markov model to describe the time-varying echo paths between the loudspeakers and the microphone. Following a statistical convergence analysis of the two-channel FDAF algorithm, the state recursion of the system distance in each frequency bin is given. The optimal step size is then derived by minimizing the system distance. Several practical problems, including noise power spectral density estimation and echo paths change detection, are discussed in details. Moreover, a close link between the proposed optimum step-size control method and the multichannel state–space frequency-domain adaptive filter is established. We show that the proposed variable step-size approach can also be incorporated into the block extended least-mean-square algorithm to fully exploit their benefits. Finally, computer simulations demonstrate that the proposed algorithm exhibits an excellent convergence performance and is very robust to the double talk.

频域自适应滤波器（FDAF）由于其良好的收敛性和计算效率而成为立体声回声消除（SAEC）的竞争候选者。但是，当使用恒定步长时，收敛速度和稳态失准之间存在冲突。本文针对频域中的立体声回声消除器提出了一种可变步长方法。所提出的方法使用一阶马尔可夫模型来描述扬声器和麦克风之间随时间变化的回声路径。在对两通道FDAF算法进行统计收敛分析之后，给出了每个频率仓中系统距离的状态递归。然后，通过最小化系统距离来得出最佳步长。几个实际问题 详细讨论了噪声功率谱密度估计和回声路径变化检测。此外，在建议的最佳步长控制方法与多通道状态空间频域自适应滤波器之间建立了紧密的联系。我们表明，提出的可变步长方法也可以并入块扩展最小均方算法中，以充分利用其优势。最后，计算机仿真表明，该算法具有很好的收敛性能，并且对双向通话非常健壮。我们表明，提出的可变步长方法也可以并入块扩展最小均方算法中，以充分利用其优势。最后，计算机仿真表明，该算法具有很好的收敛性能，并且对双向通话非常健壮。我们表明，提出的可变步长方法也可以并入块扩展最小均方算法中，以充分利用其优势。最后，计算机仿真表明，该算法具有很好的收敛性能，并且对双向通话非常健壮。