勃脱华兹近似在电路理论中的探讨和运用

Discussion and Application of Blltterworth Approximate in the Circuit Theory

探讨了如何根据误差函数、勃脱华兹多项式,采用实际电路理论中滤波器的分析方法,克服滤波器中的误差不均匀的缺点,实现比较理想的衰减特性,使其达到最大平坦,满足滤波器通阻带的各项指标要求。这种分析滤波器误差分布近似的方法就是勃脱华兹近似。结合勃脱华兹低通滤波器的特性,举例说明了利用勃脱华兹近似的方法设计滤波器的过程。

Based on the error function, Blltterworth polynomial theory and the filter analysis method in the practical circuits, this paper discusses how to overcome and solve the error asymmetry of the filter. By this means, the filter could achieve better attenuation characteristic and realize the maximal flatness to satisfy the multi - parameter requirements of the pass - band and stop- band. The method mentioned above is the Blltterworth approximate,which is applied to approximately analyze the filter error distributing. We illustrate the filter designing process which used the method of the Blltterworth approximate.