考虑输出饱和约束的自适应FIR滤波器设计

Adaptive FIR Filter Design with Saturation Constraint on Output

针对Bershad算法中滤波器输出信号畸变的问题,提出了一种新的考虑输出饱和约束的自适应有限脉冲响应(Finite-impulse-response,FIR)滤波器设计方法,并给出了它的最小均方(Least mean square,LMS)算法实现。理论证明和数值仿真验证了本文算法的有效性。与Bershad算法相比,按照本文算法设计的自适应FIR滤波器不仅严格满足饱和约束条件,输出信号也光滑无畸变,从而克服了Bershad算法的滤波器输出畸变问题。

To avoid output distortion problem of Bershad algorithm, a new adaptive finite-im- pulse-response （FIR） filter with the output saturation constraint is designed. The filter is real- ized by least mean square （LMS） algorithm. Both the theoretical derivation and the numerical simulation demonstrate the effectiveness of the algorithm. Compared with the Bershad algorithm, the adaptive FIR filter designed by new algorithm can meet the saturation constraint, and has a smooth output signal without the distortion. Therefore, it improves the efficiency of the Bershad algorithm.