Synthesis of Electrical Networks

A₁ all-stub ladder approximation problem B₁ band-pass building blocks capacitor cascade of UEs Chapter characteristic impedance Chebyshev circuit commensurate distributed networks continued fraction Corollary defined digital filters driving-point impedance element values elliptic elliptic filter even-part extracted factor frequency given Hence Hurwitz polynomial ideal transformers impedance matrix inductor input impedance jw-axis poles lossless ladder lossless one-port lossless reciprocal two-port low-pass lumped networks maximally flat n-port network of Fig network synthesis obtained open-circuited stub p-plane parallel adaptor passband passive network port prototype R₁ R₂ rational function reactance realizable reference reflection coefficient resistor resistor-terminated lossless response satisfies scattering matrix short-circuited stub shown in Fig shunt specifications stopband strictly Hurwitz synthesis techniques tanh Theorem theory three-port transfer function transmission coefficient transmission matrix V₁ V₂(p variable voltage wave digital equivalent wave digital filter wave flow diagram x(rT z-transform Z₁ zeros of transmission τω