A novel method for designing allpass digital filters
A novel method for designing allpass digital filters
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DOI：
10.1109/97.774868
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发表时间：
1999-08
影响因子：
3.9
通讯作者：
K. Rajamani;Y. Lai
中科院分区：
文献类型：
--
作者：
K. Rajamani;Y. Lai
提出了一种设计递归全通数字滤波器的新方法。该方法采用倒谱系数设计全通滤波器。对于稳定的全通滤波器，分母多项式必须具有最小相位。对于最小相位多项式，其幅度函数和群延迟函数通过倒谱系数联系起来。因此，给定群延迟函数，首先确定分母多项式部分对应的倒谱系数。从倒谱系数出发，通过非线性递推差分方程确定最小相分母多项式系数。
A novel method for designing recursive allpass digital filters is presented. This method uses cepstral coefficients to design the allpass filter. For a stable allpass filter, the denominator polynomial must be of minimum phase. For a minimum phase polynomial the magnitude function and the group delay function are related through the cepstral coefficients. Hence, given the group delay function, the cepstral coefficients corresponding to the denominator polynomial part are first determined. From the cepstral coefficients the minimum phase denominator polynomial coefficients are determined through a nonlinear recursive difference equation.