A New Theory of Cascade Synthesis
- 1 September 1961
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IRE Transactions on Circuit Theory
- Vol. 8 (3) , 244-260
- https://doi.org/10.1109/tct.1961.1086791
Abstract
This paper presents a new result generalizing Richards' theorem. It is shown that this result leads to a complete, simple and unified theory of cascade synthesis which yields the types A, B, Brune, C and D sections in a direct and natural manner. The element values of the various sections are obtained in closed form in terms of three or six indexes. Thus the extraction cycle is performed once and for all for the whole class of positive-real functions. Several problems are worked out in detail and a chart is constructed to facilitate the computations. The formulas are easily programmed on a digital computer.Keywords
This publication has 3 references indexed in Scilit:
- A Cascade Representation of the Bott-Duffin SynthesisIRE Transactions on Circuit Theory, 1958
- General impedance-function theoryQuarterly of Applied Mathematics, 1948
- Synthesis of Reactance 4‐Poles Which Produce Prescribed Insertion Loss Characteristics: Including Special Applications To Filter DesignJournal of Mathematics and Physics, 1939