多腔FP滤波器实现Butterworth滤波的数学模型  

The Mathematical Model of Designing Multi-Cavity FP Filter with Butterworth Filtering

作　　者：齐永兴[1] 陈树强[1] 刘元安[1] 高泽华[1] 钱宗珏[1] 

机构地区：[1]北京邮电大学电信工程学院,北京100876

出　　处：《北京邮电大学学报》2005年第2期16-20,共5页Journal of Beijing University of Posts and Telecommunications

基　　金：国家自然科学基金重点项目(60132040);NSG科研项目

摘　　要：从功率传输函数出发,利用巴特沃思(Butterworth)型滤波器的性质对FP(fabary-perot)滤波器进行优化设计,给出了一腔、二腔和三腔的数学模型及仿真结果,设计出了具有巴特沃思滤波性质的多腔FP滤波器,这是一种临界状态的滤波器.FP滤波器在腔的个数上有所增加,而且也使得滤波性能得到了大幅度的提高.在构建了所分析FP滤波器的各个镜面参数之间的数学关系的同时,也预见了更多腔时各参数之间的关系.Based on the power transmission and the properties of Butterworth filter, it achieves a class of FP filters with Butterworth filtering for multi-mirror FP filter. It constructs a mathematical model of several cavities FP filter to implement the Butterworth filtering, and attains their critical conditions. Further more, this paper foresees the mathematical relationships of parameters of mirrors in condition of more cavities, so simplifies the design of multi-cavity FP filters with high performance, and presents a practical method and solutions to design a FP filter with more cavities.

关 键 词：FP滤波器 巴特沃思滤波器 传输函数 

分 类 号：TN713.5[电子电信—电路与系统]