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Positive real and biquadratic immitance functions F(s) are realized into three groups each consisting of two times six equivalent circuits. The first group is obtained by interchanging three frequency functions implied in F(s). The second and third group is obtained by applying two proper frequency transformations keeping F(s) invariant.
Book Synopsis Transformations Applied to the Positive Real and Biquadratic Immittance Function by : Kurt H. Haase
Download or read book Transformations Applied to the Positive Real and Biquadratic Immittance Function written by Kurt H. Haase and published by . This book was released on 1966 with total page 34 pages. Available in PDF, EPUB and Kindle. Book excerpt: Positive real and biquadratic immitance functions F(s) are realized into three groups each consisting of two times six equivalent circuits. The first group is obtained by interchanging three frequency functions implied in F(s). The second and third group is obtained by applying two proper frequency transformations keeping F(s) invariant.
Positive real and biquadratic immitance functions F(s) are realized into three groups each consisting of two times six equivalent circuits. The first group is obtained by interchanging three frequency functions implied in F(s). The second and third group is obtained by applying two proper frequency transformations keeping F(s) invariant.
Book Synopsis Transformations Applied to the Positive Real and Biquadratic Immittance Function by : Kurt H. Haase
Download or read book Transformations Applied to the Positive Real and Biquadratic Immittance Function written by Kurt H. Haase and published by . This book was released on 1966 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: Positive real and biquadratic immitance functions F(s) are realized into three groups each consisting of two times six equivalent circuits. The first group is obtained by interchanging three frequency functions implied in F(s). The second and third group is obtained by applying two proper frequency transformations keeping F(s) invariant.
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.
Book Synopsis Categorizations and Realizations of Positive Real and Biquadratic Immittance Functions by : Kurt H. Haase
Download or read book Categorizations and Realizations of Positive Real and Biquadratic Immittance Functions written by Kurt H. Haase and published by . This book was released on 1966 with total page 94 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 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 F(s) = N(s)/D(s). Polynomials N(s) and D(s) 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 F(s) is quite high. (Author).
Book Synopsis A Short-cut Method of Computing the Brune and Bott-Duffin Circuit Realizations of Positive Real Bi-order Immittance Functions by : Kurt H. Haase
Download or read book A Short-cut Method of Computing the Brune and Bott-Duffin Circuit Realizations of Positive Real Bi-order Immittance Functions written by Kurt H. Haase and published by . This book was released on 1967 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 F(s) = N(s)/D(s). Polynomials N(s) and D(s) 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 F(s) is quite high. (Author).
Book Synopsis Scientific and Technical Aerospace Reports by :
Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1967 with total page 1388 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Government-wide Index to Federal Research & Development Reports by :
Download or read book Government-wide Index to Federal Research & Development Reports written by and published by . This book was released on 1966-09 with total page 732 pages. Available in PDF, EPUB and Kindle. Book excerpt:
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Book Synopsis Report on Research at AFCRL. by : Air Force Cambridge Research Laboratories (U.S.)
Download or read book Report on Research at AFCRL. written by Air Force Cambridge Research Laboratories (U.S.) and published by . This book was released on 1965 with total page 350 pages. Available in PDF, EPUB and Kindle. Book excerpt: