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Rapid Design Procedures for the Brune and Bott-Duffin Circuits
Assuming that a driving-point impedance F(s) = N(s)/D(s) is known by the coefficients of the rational function, both polynomials of the same geree and normalized, the A-type (resistance series) and/or the B-type (resistance parallel) Brune circuit can rapidly and with high accuracy be designed using the evaluation results of N(j omega) and D(j omega) only. In a few steps the circuit can be transformed into the Bott-Duffin circuit. The suggested procedures becomes especially advantageous when F(s) is a function of high rank. The paper presents a particular example where by analog data processing a rather complicated network can rapidly be designed. (Author).
A New Approach to Design Networks Having a Prescribed Driving-point Impedance in Brune Fashion
The design of networks having a prescribed driving-point impedance as a Brune one-port is well known and discussed in almost any textbook on linear and passive network synthesis. However, this classical design procedure is tedious, the more the degrees of the polynomials implied in the prescribed function increase. Besides that, numerical inaccuracies will be encountered. Also, this classical procedure can hardly be programmed for computer design. The modified version to be discussed in this paper yields explicit formulas by which all constants and polynomial coefficients of the requested circuit can be computed. Without any special effort, the results are extremely accurate. It is also shown that a Brune section has the property such that an inductance or a capacitance that appears as either a series or a shunt element at its input can, under certain conditions, be transposed over the section ti its output. This allows one to apply only one design program that covers all categories of driving-point functions which are realizable in the Brune fashion. (Author).
Impedance Circuits Imbedding an LC-Lattice Two-Port
A novel procedure for realizing certain driving-point impedances without the use of transformers is discussed. The circuits obtained imply an LC-lattice two-port, and they are smaller, lighter, and have considerably fewer elements than do conventional (Bott-Duffin) circuits. (Author).
Categorizations and Realizations of Positive Real and Biquadratic Immittance Functions
It is shown that a positive real immittance function F(s) is of one of eight categories. The category can be recognized by the sign polarities of three test values that are functions of the coefficients of F(s). If F(s) is of a certain category, then 1/F(s) can only be of some other categories. According to the categories of F(s) and 1/F(s) the immittance function can be realized (1) either by an RC or an RL network with positive elements, (2) by an RLC network with exclusively positive elements and an equivalent model circuit, or (3) only by model circuits. A model circuit is an RLC ladder structure with one negative branch element. The RC, RL, RLC, and model circuits have several equivalences.
The Perfectly Coupled and Shunt-augmented T Two-port
A new two-port structure, referred to as a 'Perfectly Coupled and Shunt-Augmented T', is defined and its properties are described. The classical Brune two-port can be recognized as a particular example of this general class of two-ports. There are three feasible types (A, B, and C) of perfectly coupled and shuntaugmented T's. A tandem of two matched T's of type AC or BC is equivalent to a lattice two-port. Suitable impedances can be transposed from one port to the other over the T whereby only the magnitudes of its elements are changed. The dual of this T is the 'Perfectly Coupled and Series-Augmented Pi'. The discussion of these new kinds of two-ports is supplemented by ten numerical examples. (Author).
Single Tee and Pi Two-ports, Resistively Terminated and Having a Prescribed Driving-point Immittance
Biquadratic, biquartic, bisextic, in general terms bi-order-n positive real immittance functions can be realized as driving-point immittances of a Tee or a Pi section that is terminated with a resistance, provided that the function belongs to a certain subclass of positive real and bi-order-n functions. This general principle is discussed particularly for biquadratic and biquartic functions. It is shown that the Tee and the Pi circuits implying a negative immittance of the rank 2m + 1 can be transformed into another circuit that instead of the negative immittance implies a resistance as the only negative branch element. (Author).
