Peculiarities of the Norton conversions application when matching impedances with different transformation coefficients

The paper studies the features and consequences of the use of Norton conversions in the process of broadband and narrowband matching of circuit impedances based on filter theory in cases with different transformation ratios. For Norton circuits conversions with different transformation ratios (greater than and less than one), an additional rule is formulated. Using the generalized form of recording the Norton consequence conversions, two examples of reducing the number of elements in bandpass filters are demonstrated. In addition, the consequences that are characteristic of narrow-band applications of transformations are established. Formulas for calculating transformation ratios that depend on frequency are obtained for direct and mirror Г-shaped circuits with different reactivities. It is shown that these circuits can be combined with similar reactivities of Г-shaped circuits with frequency independent transformation ratios. On the basis of the established for the Norton conversions consequences, the step-up and step-down matching circuits of the combined type are synthesized.