Abstract
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 of 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 every one of links a product of the wave impedances, relating to these solutions, is equal to a square of the wave impedance of transmission line, including filter.
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