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  • https://doi.org/10.1109/icept50128.2020.9202712Copy DOI Icon

A Transformation Method of Coupling Matrix Reduction with Hybrid Optimization Algorithm

  • Aug 1, 2020
  • Yanming Zhang +2 more
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Abstract

Coupling matrix synthesis has been recognized as a widely employed and powerful tool for microwave filter modeling and design. Generally, to obtain a coupling matrix whose topology maps to the actual physical structure, the rotation matrix is used for the matrix reduction and elimination. However, it is difficult to obtain a precise simplified matrix through the rotation matrix method for the corresponding planar resonant circuit filter structure. To overcome the shortcomings of conventional rotation matrices and similar equivalent simplification methods, based on the idea of optimization, we propose a simplification of the coupling matrix using a hybrid optimization algorithm. By the proposed algorithm, a simplified matrix that accurately consistent with the physical structure can be obtained. Firstly, we use the matrix M R that after the conventional equivalent transformation of the coupling matrix as the initial value of the hybrid optimization. Secondly, in order to further obtain the mapped coupling matrix, the scattering parameters corresponding to the coupling matrix is used to calculate the optimization fitness index, and the filter topology is used as the optimization constraint. Then, a global optimization algorithm is used to obtain a matrix M G which is similar to the initial coupling matrix engineering and the matrix structure is similar to the topology of the microwave filter. Finally, use a local optimization algorithm to further iteratively optimize the M G until it converges to meet the engineering accuracy requirements. Then, the simplified matrix M D that is approximately equivalent to the initial coupling matrix and corresponds to the filter topology can be obtained.

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