| 频变交叉耦合滤波器的矩阵优化综合方法 |
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| 引用本文： | 李刚. 频变交叉耦合滤波器的矩阵优化综合方法[J]. 西安电子科技大学学报(自然科学版), 2019, 46(3): 154-159. DOI: 10.19665/j.issn1001-2400.2019.03.023 |
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| 作者姓名： | 李刚 |
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| 作者单位： | 湖北文理学院 物理与电子工程学院,湖北 襄阳 441053 |
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| 基金项目： | 湖北省自然科学基金(2015CFB663) |
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| 摘 要： | 为了解决传统交叉耦合滤波器模型中的非频变耦合系数无法准确表征宽带条件下耦合结构的频率特性问题,提出了一种含有频变耦合系数的N+2型交叉耦合滤波器矩阵优化综合方法。首先通过矩阵的缩放和相似变换过程,将指定拓扑的N+2型频变耦合矩阵变换为非频变耦合矩阵;然后以N+2型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搜索,即可获得指定拓扑的N+2型频变耦合矩阵。不同拓扑结构的优化综合实例表明,该方法可以高效地解决复杂频变交叉耦合滤波器的综合问题。
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| 关 键 词： | 耦合矩阵 频变耦合 等效电路 综合方法 微波滤波器 |
| 收稿时间： | 2018-12-20 |
Matrix optimization synthesis method for the cross-coupled filter with frequency dependent couplings |
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| LI Gang. Matrix optimization synthesis method for the cross-coupled filter with frequency dependent couplings[J]. Journal of Xidian University, 2019, 46(3): 154-159. DOI: 10.19665/j.issn1001-2400.2019.03.023 |
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| Authors: | LI Gang |
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| Affiliation: | School of Physics and Electronic Engineering, Hubei University of Arts and Science, Xiangyang 441053, China |
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| Abstract: | The traditional coupling coefficients in the cross-coupled filter model do not accurately characterize the frequency characteristics of the coupled structure under the broadband condition. To solve this problem, a matrix optimization synthesis method for the N+2 cross-coupled filter with frequency dependent coupling coefficients is proposed. First, the N+2 frequency dependent coupling matrix of a given topology is transformed into a frequency independent coupling matrix by matrix scaling and similarity transformation. Then, the objective function is constructed by approaching the eigenvalues of the N+2 canonical coupling matrix. Finally, the N+2 frequency dependent coupling matrix with a specified topology can be obtained by the gradient optimization algorithm. Numerical synthetical results of different topologies prove that the proposed method can efficiently solve the synthesis problem of filters with complex frequency dependent couplings. |
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| Keywords: | coupling matrix frequency dependent coupling equivalent circuits synthetical techniques microwave filter |
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