Transfer-function synthesis with nonreciprocal constant-resistance two-port networks

The conventional method of transfer-function synthesis, which employs the passive symmetrical lattice network satisfying the constant-resistance driving-point condition, is applied to a nonreciprocal active network. This network has lattice-like properties, including the non-minimum-phase feature, even though it is unbalanced, thereby avoiding the problem of lattice-to-ladder conversion. A greater variety of single-ended constant-resistance sections is made available for synthesis purposes, including a constant-resistance amplifier and nonreciprocal versions of the well known passive (e.g. attenuation equaliser) sections, as well as non-minimum-phase types (such as phase equalisers). Although active and nonreciprocal (i.e. having internal feedback), the sections are shown to be stable under the constant-resistance condition. The synthesis technique may be extended to derived networks, e.g. purely unilateral ones.