A new proof of Reichert's theorem

Zhang, SY and Jiang, JZ and Smith, MC (2016) A new proof of Reichert's theorem. In: UNSPECIFIED pp. 2615-2619..

Abstract

Reichert's theorem (1969), a fundamental theorem of network synthesis, completely characterises minimum reactive synthesis of positive-real biquadratic impedances. The crucial part of the original approach depends on a complicated topological argument. This paper provides an alternative proof using the recently introduced concept of regular positive-real functions.