消除Gibbs现象的仿真研究

A Simulation Study of Eliminating Gibbs Phenomenon in Digital Filter

针对数字滤波器中存在的Gibbs现象 ,研究了改进窗函数与改变滤波因子截断长度综合法。鉴于该方法通带和阻带的截止频率不易控制的缺点 ,提出了消除Gibbs现象的一种全新的方法即数据翻转法 ,该方法是对输入信号在没进入滤波器之前对其进行变换来尽量减少Gibbs现象带来的影响。仿真结果表明 ,与上述综合法相比 。

To eliminate the Gibbs phenomenon in digital filters, synthetic method of both improved window functions and changed truncation length of filter factors is studied. Being difficult to control cut-off frequency of passband and band-rejection, A new method of data flipping is proposed. This method reduces effect which Gibbs phenomenon brings via converting input signal before coming into filters. Emulational results indicate that data flipping method can be more effective to delete Gibbs phenomenon compared with synthetic method.