一类椭圆数字滤波器的全新设计方法

在各种滤波器中，椭圆滤波器具有其独特的优点，但设计过程相当繁杂，本文针对半带ＩＩＲ椭圆滤波器设计方法，提出对椭圆函数实施一种变换，使其能与契比雪夫多项式的某些性质相结合，得出一种极其简便的全新设计方法，其优点是初始值数据较少，设计步骤简练，计算量仅约为文献〔１〕的１／４，而精度与其相同。

A new Design for a Class of Elliptic Digital Filter

Among all kinds of filters, elliptic filter has its unique advantage. But its designis quite complicated, In view of the design method of half-band IIR elliptic filter, the papersuggestsa transfer to elliptic function, so the function obtained hereafter can combine withsome features of Chebyshev' S polynomial, which leads to a very new and simple designmethed, The advantages are: less original data, simpler design procedure, and calculationarnount is only as much as one-fourth of that of the methed in reference (1) with same precislon.