Conformal Mappings for Filter Transfer Function Synthesis
George L. Matthaei · Proceedings of the IRE · 1953
In a previous paper the author outlined a general method for synthesis of filter and amplifier transfer functions by setting up fictitious electrostatic problems. This paper shows that techniques utilizing conformal mappings provide practical ways for solving these electrostatic problems. Analysis in the mapped plane also yields convenient methods for predetermining the number of poles and zeros required to meet given design specifications.