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Algebraic Approach to Ambiguity-Group Determination in Nonlinear Analog Circuits

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3 Author(s)
Barbara Cannas ; Dept. of Electr. & Electron. Eng., Univ. of Cagliari, Cagliari, Italy ; Alessandra Fanni ; Augusto Montisci

In this paper, a symbolic procedure for ambiguity-group determination, based on the a priori identifiability concept, is proposed. The method starts from the analysis of the occurrence of circuit parameters in the coefficients of the input/output relationship in order to select the potential canonical ambiguity groups. This first step allows one to strongly reduce the problem complexity. In a second step, the obtained nonlinear system that imposes the ambiguity conditions is solved, resorting to Gro??bner bases theory. Both of these steps are completely symbolic, thus avoiding round-off errors. Furthermore, the method can be applied to both linear and nonlinear circuits. An alternative approach is also proposed, which extends to nonlinear circuits a method presented in the literature, which can be directly applied only to linear circuits. The methods are illustrated by means of benchmarks regarding well-known linear and nonlinear circuits.

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IEEE Transactions on Circuits and Systems I: Regular Papers  (Volume:57 ,  Issue: 2 )