基于数学优化法的带通滤波器研究

Research on bandpass filter based on mathematical optimization method

提出了在滤波器设计过程中的一种数学优化设计方法。理论分析表明,该设计方法能够通过设定目标函数和约束条件的方式迅速而准确地逼近目标,接近理想响应。基于该分析,分别用插入损耗法和数学优化法设计了一个等波纹电感耦合带通滤波器。仿真结果表明:使用数学优化法不仅可以快速而准确地进行设计,而且能大幅提升滤波器性能。

A design method based on mathematical optimization in the process of filter designing is proposed.The theoretical analysis shows that this method can approximate the target accurately and get close to the ideal response by setting a goal function and constraints.Based on this,the insertion loss method and mathematical optimization method were adopted to design an equiripple inductively-coupled filter respectively.The simulation result shows that it can not only shorten the design time,but also improve the filter performance to a great extent.