一种新NLMS自适应滤波算法及其在多路回波消除中的应用

A new NLMS adaptive filtering algorithm and its application in multi-channel acoustic echo cancellation

提出一种NLMS改进算法并对其收敛性进行了证明。该算法计算复杂度低于Sankaran(1997)所提出的带有正交改正因子的归一化算法(NLMS-OCF)和仿射投影算法(APA),并具有易于实现等特点。仿真结果表明,以单路语音信号作输入时,新算法具有比NLMS-OCF算法更好的收敛速度和精度,而在收敛速度和精度相当的情况下,新算法比APA算法所占用的CPU时间少。将新算法扩展成两路算法后,扩展算法仍然保持了这些特点,与Sankaran(1999)两路NLMS-OCF及Benesty(1996)所提多路仿射算法(APA-MC)相比,新算法更适合于应用到多路回波消除等实时性要求高的场合。

A new NLMS adaptive filtering algorithm has been proposed and its convergence has been proved. The new algorithm is of lower computing complexity and more easily complement as compared to Sankaran's(1997) and affine projection algorithm(APA). Simulation in MATLAB shows that the new algorithm has better convergence and accuriacy than Sankaran's, and the same convergence and accurity as APA when excited by mono-speech, and it takes less CPU time. When extended to two channel algorithm, the new algorithm is still of the same advantages. As compared to Sankaran's(1999) and Benesty's(1996), the new algorithm is much better when applied to multi-channel acoustic echo cancellation.