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- W2187442857 abstract "matrix of real rational fpnctioas of complex freqency. The method achieves realization with the minimlm number of capacitors, m, this beii the “degree” of the matrix. The network is completed by positive resistors ad (n + m) real-co&cimt coatrolled sources Sandberg[’] has shown that an arbitrary n x n matrix Y(s) of real rational functions of complex frequency may be realized by an RC n-port with a minimum of n controlled sources. Other realizations employing negative impedance converters or nullors in place of controlled sources have been described by SandbergL2] and Martix~elli,[~] respectively. The realization described here employs the theoretically minimum number of capacitors, at the expense of an increase in the number of controlled sources over that required by Sandberg’s method.“] The number of capacitors employed here is equal to the “degree” of the matrix Y(s). The concept of “degree” was formalized by Dutfin and Haz~ny.’~] Kalmanf5] showed that this “degree” was also the minimal dimension of the state-space of a linear dynamical system whose transfer matrix is Y(s). He obtained a realization of the dynamical by finding a quadruple of real constant matrices {J, F, G, H} such that Y(s) = J + H(s 1 - F)-’G" @default.
- W2187442857 created "2016-06-24" @default.
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- W2187442857 date "1968-01-01" @default.
- W2187442857 modified "2023-09-27" @default.
- W2187442857 title "Minimal Reactance Realization of n-Port Active RC Networks Abstract-An admittance &ti00 is oatlid of an arbitrary n x n" @default.
- W2187442857 hasPublicationYear "1968" @default.
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