Cascade Impedance Synthesis Using an Extension of the Fialkow-Gerst TheoremDriving point impedance synthesis for cascade of lossless network sections and gyrator reduction. |
Common terms and phrases
a₁ augmented Z(s C₁ C1 Z₁(s C₁a C₁Z₁(s C₂ cascade of lossless cascaded network cascaded operator networks Coefficient Conditions coefficients of Z(s complex numbers corresponds to figure defined degree driving point degree of Z(s driving point impedance equation 12 equation 30 equation C13 exist extended coefficients factor Fialkow and Gerst Fialkow-Gerst theorem figure 11(a figure 14 figure 7(a G(jw gyrator identification imaginary axis impedance operator IMPEDANCES OF DEGREE inductors network corresponding network of figure network sections terminated network terminated obtained from figure odd functions point impedance synthesis polynomials positive k positive real function procedure proof reduced Richards theorem s²√bd s²d s²e second degree driving second degree Z(s section COMPLEX section Network Synthesis shown in figure shown that Z(s ẞZ(a terminated two-port network terminating impedance tion unity coupled transformer Vbd Vbd Z(u+jv Z₂(s ZEROS AND OPERATOR Zeros with Z(u Zg(s Zi(s მე