Generalized Padé Approximation

Approximation by minimizing the magnitude of the complex error phasor in the steady state is considered and relationships to conventional magnitude-only and phase-only methods are discussed. The particular case of the Taylor approximation about zero frequency is shown to be equivalent to the Taylor approximation in terms of the complex variable. Generalized examples are given which relate to rational approximations for transistor alpha, resistance-capacitance transmission lines, and the Z transform.