A cascade synthesis of integrated filters

A cascade synthesis of resistively terminated filters is developed. The method relies on a theory of nonreciprocal cascade synthesis of the driving-point admittance y(s) of a resistively terminated lossless network, with special emphasis on integrated circuits. The lossless network is realized as a cascade of nonreciprocal gyrator-capacitor sections, each of which realizes particular zeros of the even-valued part of y(s) (or transmittance zeros). These sections contain only grounded gyrators and a minimum number of grounded capacitors. The procedure for extracting zero-producing sections from a prescribed driving-point admittance is given and formuale for values of network elements that realize the extracted sections are derived.