A SHORT-CUT METHOD OF COMPUTING THE BRUNE AND BOTT-DUFFIN CIRCUIT REALIZATIONS OF POSITIVE REAL BI-ORDER IMMITTANCE FUNCTIONS.
Physical sciences research papers no. 320,
AIR FORCE CAMBRIDGE RESEARCH LABS L G HANSCOM FIELD MASS
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The paper presents a novel technique for computing the elements of the Brune realization and of the Bott-Duffin realization of a bi-order-n and positive real immittance function Fs NsDs. Polynomials Ns and Ds are normalized N sub n D sub n 1 polynomials of the even order n. The computational procedure gives explicit and straight forward instructions and formulas for obtaining the respective circuit elements. The procedure has the advantage of keeping the unavoidable computational inaccuracies to a minimum and of operating exclusively in the real domain of the respective variable. The methods of Horner, Bairstow, and Sturm and some polynomial divisions are the only tools of numerical analysis that have to be used in the computation, which can easily be performed on a desk calculating machine even if the order n of Fs is quite high. Author
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