Synthesis of active distributed RC networks via the W=e[superscript square root of s] transmission

The material presented here provides a means for synthesis of networks containing uniformly distributed RC elements. After transforming the desired transfer function into a function rational in W = e[superscript square root of sRC] , state-variable synthesis methods are applied to obtain a model containing elements with transfer functions of the form 1/W. A circuit is then presented for the 1/W block along with error analysis and design procedures for use in construction of the model. The elements of the synthesis procedures of Wyndrum and O\u27Shea are presented for comparison. Furthermore, synthesis of functions rational in W and Θ = [square root of] s is discussed with circuits provided to realize the 1/Θ block. Examples are presented to illustrate the use of the material in lumped-distributed synthesis and in simulation of the solutions to partial differential equations of the parabolic class --Abstract, page ii