直线型频变耦合滤波器的矩阵优化综合方法
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湖北文理学院 物理与电子工程学院

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TN713.5

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湖北省自然科学基金面上项目


Matrix Optimization Synthesis Method for Inline Filters with Frequency Variant Couplings
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Hubei University of Arts and Science

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    摘要:

    为了解决传统的直线型耦合滤波器不易实现有限传输零点问题,提出了一种直线型频变耦合滤波器的矩阵优化综合方法。该方法首先通过矩阵变换将直线型的频变耦合矩阵变换为非频变耦合矩阵,然后以全规范耦合矩阵的特征值为趋近目标构造目标函数,最后,通过梯度优化算法进行优化即可获得频变耦合滤波器的耦合矩阵。通过不同拓扑结构的直线型频变耦合滤波器的优化综合实例,分析了频变耦合的个数和位置对滤波器有限传输零点的影响。结果表明:有限传输零点的个数等于频变耦合的个数;在引入源负载直接耦合条件下,N阶直线型频变耦合滤波器最多能够实现N个有限传输零点。

    Abstract:

    Transmission zeros are difficult to achieved by traditional inline filters. In order to handle this problem, a matrix optimization synthesis method was proposed for inline filters with frequency variant couplings. Firstly, the frequency variant coupling matrix of a given topology was transformed into a frequency invariant coupling matrix by matrix transformation. Then, the objective function was constructed by approaching the eigenvalues of the canonical coupling matrix. Finally, the frequency variant coupling matrix with assigned topology can be obtained by gradient optimization algorithm. The influence of the numbers and positions of frequency variant couplings was analyzed by examples of optimization synthesis with different topologies. The results show that the numbers of finite transmission zeros equal the numbers of frequency variant couplings; The N-order inline filters with frequency variant couplings can achieve at most N finite transmission zeros when the direct source-load coupling exists.

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李刚. 直线型频变耦合滤波器的矩阵优化综合方法[J]. 科学技术与工程, 2019, 19(15): 176-180.
ligang. Matrix Optimization Synthesis Method for Inline Filters with Frequency Variant Couplings[J]. Science Technology and Engineering,2019,19(15):176-180.

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历史
  • 收稿日期:2018-12-29
  • 最后修改日期:2019-03-15
  • 录用日期:2019-02-26
  • 在线发布日期: 2019-06-10
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