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Analytical solution of the problem of synthesis of three-link stepped Chebyshev's microwave filter
Aref'ev A. S.
1
1Povolzhskiy State University of Telecommunications and Informatics, Samara, Russia
Email: arefyev.as@inbox.ru
The problem of synthesis of the three-link stepped Chebyshev's microwave filter is reduced to two independent fourth-degree equations, including a single link wave impedance as unknown. The solution of Descartes -Euler is applied to these equations. It is proved that, in case wave impedances of extreme links are equal, the problem of the filter synthesis has two solutions. Identical phase-frequency responses correspond to these solutions. It is proved that for each link a product of the wave impedances relating to these solutions is equal to a square of the wave impedance of the transmission line including the filter. Keywords: Microwave filter, stepped microwave filter, Chebyshev's microwave filter, synthesis of microwave filter.
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