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 variablemin the decomposition of the second-order polynomials. It has been shown that the performance criteria such asQsensitivity andωₚsensitivity are accordingly expressed as functions ofmthereby 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 toRC: gyrator synthesis andRC:NIC synthesis are used to demonstrate the proposed method.