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 any
p \times p
matrix
Y(s)
of real rational functions of the complex frequency variable
s
can be realized as the short-circuit admittance matrix of a
p
-port active
RC
network. The realization requires a minimum number of capacitors-
n =
degree
\{Y(s)\}
-and no more than
2(p+n)
inverting common ground voltage-controlled voltage sources. All the capacitors and ports are grounded.