p-port active RC networks: Short-circuit admittance-matrix synthesis with a minimum number of capacitors

A synthesis procedure, easily implemented as a digital computer program, is presented whereby anyp times pmatrixY(s)of real rational functions of the complex frequency variablescan be realized as the short-circuit admittance matrix of ap-port activeRCnetwork. The realization requires a minimum number of capacitors-n =degree{Y(s)}-and no more than2(p+n)inverting common ground voltage-controlled voltage sources. All the capacitors and ports are grounded.