Ranges of allowable component values for the synthesis of specified RC transfer functions

Abstract

The theory of continuants is applied to the analysis of general ladder networks of the first Cauer form to provide a concise, compact, and readily calculable form for the driving point and transfer functions used to describe the network. A new procedure is established for the synthesis of RC ladder networks up to nth order from a given voltage-ratio transfer function. Ranges of values for the network components are shown to exist. The procedure is readily adaptable for use with a digital computer. Two programs written in FORTAN 63 language are provided for a third order system to illustrate how the procedure can be used with a digital computer for computer-aided design of the networks. Output of the programs is in the form of graphs and tables of component values