2019 International Conference on Electromagnetics in Advanced Applications (ICEAA) 2019
DOI: 10.1109/iceaa.2019.8879047
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Aperture-Coupling Effect of Two-Layered Open-Loop Microstrip Bandpass Filters Designed by the Cul-de-Sac Coupling Matrix

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“…where πœ” is the complex frequency parameter 𝑠 = π‘—πœ”, and 𝐹 (πœ”), 𝐸 (πœ”) are the 𝑁 -order filter polynomials of the chained functions [21]. The polynomials 𝐸 , 𝐹 are applied to derive the even/odd-mode polynomials [22]. The parameters for short-circuit admittance 𝑦 , 𝑦 can be derived from (29), and 𝑁 which represents the even/odd mode.…”
Section: Parallel Chained Filter Coupling Matrix Synthesismentioning
confidence: 99%
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“…where πœ” is the complex frequency parameter 𝑠 = π‘—πœ”, and 𝐹 (πœ”), 𝐸 (πœ”) are the 𝑁 -order filter polynomials of the chained functions [21]. The polynomials 𝐸 , 𝐹 are applied to derive the even/odd-mode polynomials [22]. The parameters for short-circuit admittance 𝑦 , 𝑦 can be derived from (29), and 𝑁 which represents the even/odd mode.…”
Section: Parallel Chained Filter Coupling Matrix Synthesismentioning
confidence: 99%
“…where πœ† represent the pole for eigenvalue, and 𝑇 and 𝑇 are the respective orthogonal first and last rows of the matrix T. The orthogonal rows can be generated by using the Gram-Schmidt orthogonalization technique [21]. Similarity transformation and matrix element annihilation are performed and the complete coupling matrix M is obtained [22,23]. To synthesize the coupling matrix of two pole parallel networks, the matrix is divided into subnetworks and a series of configurations are carried out for the entire matrix until the right coupling is achieved [14].…”
Section: Parallel Chained Filter Coupling Matrix Synthesismentioning
confidence: 99%