提出了基于 H2 范数以及∞范数的的混合准则进行 IIR滤波器设计 ,并且利用遗传算法实现了基于该准则的滤波器设计。这一方法的提出避免了传统方法的缺点 ,所设计的滤波器达到了非常理想的性能。通过例子表明 ,该滤波器设计方法优于目前普遍使用的其它设计方法 A hybrid criterion based on H2 norm and ∞ norm is proposed to design IIR filter, and the filter design based on this criterion is realized by genetic algorithm. This method is proposed to avoid the shortcomings of the traditional methods, the design of the filter to achieve a very good performance. The example shows that this filter design method is superior to other design methods commonly used at present