归一化椭圆函数滤波器的正元件值全解及其CAD

All Positive-Component-Valued Solutios and CAD of Normalized Elliptic Filters

本文证明了n阶归一化椭圆函数滤波器(EF)最多有[(n-1)/2](?)组正元件值解,CAD结果验证了该理论的正确性。文中还讨论了EF的传输函数对元件值的灵敏度,给出了一个10阶归一化EF的例子,并指出文献[1～3]的参数并非都是最低灵敏度的。

It is proved in this paper that there are [(n-1)/2]! groups at most for positive-component-valued solution in n-order normalized elliptic filters (EF). This theory is verified by CAD results. The sensitivities of EF transfer function to the component values are also discussed, and a tenth-order normalized EF is given as an example It is pointed out that the parameters of references [1～3] are not all of the lowest sensitivities.