An analytical technique for the synthesis of cascaded N-tuplets cross-coupled resonators microwave filters using matrix rotations
An analytical technique for the synthesis of cascaded N-tuplets cross-coupled resonators microwave filters using matrix rotations
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DOI：
10.1109/tmtt.2005.847065
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发表时间：
2005-05
影响因子：
4.3
通讯作者：
S. Tamiazzo;G. Macchiarella
中科院分区：
文献类型：
--
作者：
S. Tamiazzo;G. Macchiarella
本文提出了一种通用的简单技术，用于将任何典型的n+2耦合矩阵约简为更有用的模（即，级联N元组）的形式。这是通过执行一个合适的矩阵旋转序列来实现的，矩阵旋转的角度不是通过优化导出的，而是从起始耦合矩阵元素和传输零点频率解析计算的。所提出的技术允许将传输零与特定块相关联（即，三重态或四重态），增加了滤波器设计过程中的自由度。
In this paper, a general simple technique for reducing any canonical n+2 coupling matrix to the more useful modular (i.e., cascaded N-tuplets) form is presented. This is accomplished by performing a suitable sequence of matrix rotations whose angles are not derived through optimization, but are analytically computed from the starting coupling matrix elements and the transmission zeros frequencies. The proposed technique allows the association of a transmission zero to a specific block (i.e., a triplet or a quadruplet) increasing the degree of freedom in the filter design process.