An approach to the continuous decomposition of second-order polynomials

A salient feature of proposed method is the incorporation, as a design parameter, of a new variable
m
in the decomposition of the second-order polynomials. It has been shown that the performance criteria such as
Q
sensitivity and
\omega_{p}
sensitivity are accordingly expressed as functions of
m
thereby leading to possible optimizations. The continuous change of the variable encompasses not only existing optimum decompositions but also a variety of other decompositions which may be regarded as optimum with respect to diverse performance criteria. Two types of decomposition corresponding to
RC
: gyrator synthesis and
RC
:NIC synthesis are used to demonstrate the proposed method.