ANALYSIS AND SYNTHESIS OF ACTIVE RC NETWORKS CONTAINING DISTRIBUTED AND LUMPED ELEMENTS.
Abstract
Active RC networks realizing complex poles and j omega axis zeros have previously required a large number of passive elements and relatively complex active structures. The inclusion of distributed RC lines with lumped RC elements is shown to significantly reduce the number of passive elements and the complexity of the active elements used. An analysis procedure is developed for the analysis of arbitrarily complex combinations of distributed, lumped, and active elements. A model of the RC distributed line is chosen for computer analysis and is shown to give good agreement with experimental data. In order to make the synthesis procedure a simple and practical one, the transfer function to be realized is factored into a product of first and second order factors to be realized individually. The active element utilized is an ideal voltage amplifier, for simplicity, and so that simple cascade connection of the networks realizing the separate factors will produce the complete transfer function. The synthesis of the individual factors is reduced to choosing the appropriate one needed from a set of 4 networks which together realize all of the pole-zero combinations required, and determining the component values necessary to realize any one of the quadratic factors needed from a set of design charts. Any necessary first order factors are then added in cascade, using passive, lumped, RC networks. A specific 5 pole, 4 zero, elliptic function, low pass filter is synthesized by this method. The complete filter uses 2 uniform RC lines, 3 resistors, 3 capacitors and 2 voltage amplifiers, as compared to 7 resistors, 9 capacitors and 2 voltage amplifiers in a lumped active RC realization.
Document Details
- Document Type
- Technical Report
- Publication Date
- Aug 01, 1967
- Accession Number
- AD0822584
Entities
People
- William J. Kerwin
Organizations
- Stanford University