Assuming that a driving-point impedance

is known by the coefficients of the rational function, both polynomials of the same degree and normalized, the

-type (resistance series) and/or the

-type (resistance parallel) Brune circuit can rapidly and with high accuracy be designed using the results of evaluating

and

only. In a few steps the circuit can be transformed into the Bott-Duffin circuit. The suggested procedure becomes especially advantageous when

is a function of high rank.