基于拉格朗日插值的分数延时滤波器研究

Research into The Fractional Delay Filter Based on Lagrange Interpolation

分数延时滤波器可以在数字域实现对信号小数倍采样间隔时延,比传统模拟延迟线稳定、精度高,在数字波束形成中应用广泛。基于拉格朗日插值的分数延时滤波器实现简单,低频具有很好的幅度响应和相位延时响应。介绍了基于拉格朗日插值的分数延时滤波器的实现原理,仿真分析了滤波器的幅频特性和相频特性,仿真结果表明拉格朗日插值的分数延时滤波器用于信号的延时处理时具有良好的延时效果。

The fractional delay filter can realize the fractional times sampling interval delay of signal in digital domain, which is more stable and more accurate than the traditional analog delay line, and simulates and analyzes lilt od the amplitude frequency er.Simulation results show that the fractional has a good effect in the application of signal prope delay delay rty flit and the phase frequency property of the er based on Lagrange interpolation metb processing