中文摘要：

无源滤波器往往成为滤波系统的一个关键组成部分。无源滤波器的优化设计在性能改进中是最有效的方法。对计算梯度矢量的公式和Hessian矩阵进行了研究和呈现。根据这个公式，再推导出存在有损耗的滤波器优化设计问题的目标函数和用电路延伸技术作合适的优化算法。对这种具有灵活性和有效性无源滤波器技术设计的例子给出了证明。

英文摘要：

A passive filter often becomes a key component for the electric power system. The optimization design of passive filter is the most effective procedure in performance improving. In this paper, the formula of calculating the gradient vector and the Hessian matrix is presented. Based on this formula, the optimiza- tion for the objective function in the problem of lossy filter design is derived and then the circuit optimiza- tion technique is extended into with the composing optimization algorithms suitable. The flexibility and ef- fectiveness of this technique to passive filter design is proved with examples given.