Transfer Function Synthesis of RC Tunnel-Diode Networks

This paper presents several procedures for the synthesis of various transfer functions by means of networks containing positive resistances, positive capacitances, and a minimum number of ideal tunnel diodes (represented by a parallel combination of a positive capacitor and a negative resistor). Use of tunnel diodes is shown to allow realization of arbitrary transmission zeroes by means of grounded RC tunnel-diode networks. The tunnel diode may be employed either to improve the gain obtainable by passive realization techniques or to synthesize transfer functions that are not realizable. In addition to a cascade synthesis technique to realize right-half-plane transmission zeroes, a method is presented to realize any voltage transfer ratio with unrestricted transmission zeroes by employing a single tunnel diode.