Minimum-Phase Transfer-Function Synthesis

This paper presents a means for realizing a minimum-phase transfer-function to within a constant multiplier, provided that has no poles on the -axis including infinity. The network is in ladder form, without coupled coils, and every coil has an associated series resistance if for any finite Synthesis is illustrated for the specification of resistance termination at input and output, and for the specification of a resistor-capacitor termination at both ends. Regardless of the complexity of , the synthesis problem can always be reduced to the problem of synthesizing driving-point functions that are no more complicated than the ratio of quadratic polynomials in . The method to be described is an extension of constant-resistance ladder network synthesis.