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Rapid design procedures for the Brune and Bott-Duffin circuits

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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 degree 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 results of evaluating N(j\omega ) and D(j\omega ) only. In a few steps the circuit can be transformed into the Bott-Duffin circuit. The suggested procedure becomes especially advantageous when F(s) is a function of high rank.

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Circuit Theory, IEEE Transactions on  (Volume:20 ,  Issue: 3 )