Calculation of symbolic sensitivities for large-scale circuits in the sequence of expressions form via the transimpedance method

Publication Type:
Journal Article
Analog Integrated Circuits and Signal Processing, 2004, 40 (3), pp. 265 - 276
Issue Date:
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In this paper we describe a new method for obtaining, in symbolic form, the network functions and their small- and large-change sensitivities. Our method is based on the two-port transimpedance concept and the sequence of expressions approach to calculation of matrix determinant. We show that the network functions as well as their sensitivities can be expressed by appropriate transimpedances. Each transimpedance is given by an algebraic sum of at most four elements of the inverse of the circuit's reduced node admittance matrix. In our method the complexity of the sequence of expressions grows linearly with the circuit size. The extra effort required to obtain sensitivities is minimal and, more importantly, independent of the circuit size.
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