Derivation of the Class of Digital Filters With All Second-Order Modes Equal
Derivation of the Class of Digital Filters With All Second-Order Modes Equal
复制标题
所有二阶模态相同的数字滤波器类别的推导
DOI：
10.1109/tsp.2011.2164403
复制
发表时间：
2011
影响因子：
5.4
通讯作者：
M. Kawamata
中科院分区：
文献类型：
--
作者：
Shunsuke Yamaki;M. Abe;M. Kawamata
本文揭示了所有二阶模式都相等的数字滤波器类别。我们首先证明，如果数字滤波器的二阶模全部相等，则可以解析地解决数字滤波器的L2灵敏度最小化问题。我们推导出所有二阶模式相等的数字滤波器传递函数的一般表达式。此外，我们还证明了通式是通过一阶原型 FIR 数字滤波器的频率变换获得的。
This paper reveals the class of digital filters with all second-order modes equal. We first prove that if the second-order modes of a digital filter are all equal, the L2-sensitivity minimization problem of the digital filter can be solved analytically. We derive a general expression of the transfer function of digital filters with all second-order modes equal. Furthermore, we show that the general expression is obtained by a frequency transformation on a first-order prototype FIR digital filter.