In this paper, the harmonic balance technique is used to develop a new computer-aided design method for analyzing nonlinear behavior of log domain filters. Drawing upon the small signal linear model of circuits and power series expansion, previous methods commonly used the second and third terms of the series to analyze distortion. Contrary to conventional linear filters. log-domain filters have large signal behavior and, hence, fail to evaluate their distortions accurately. Compared with the techniques proposed elesewhere, the method proposed in this work, which is based on frequency domain analysis, is not limited by the large signal behavior of log domain filters, and is thus capable of evaluating distortions of log-domain filters more accurately, in a greater number of harmonics, and for circuits with higher complexity levels.

In this paper, as an application of fuzzy matroids, the fuzzifying greedy algorithm is proposed and an achievable example is given. Basis axioms and circuit axioms of fuzzifying matroids, which are the semantic extension for the basis axioms and circuit axioms of crisp matroids respectively, are presented. It is proved that a fuzzifying matroid is equivalent to a mapping which satisfies the basis axioms or circuit axioms.

The quantum theory for a mesoscopic electric circuit with charge discreteness is investigated. Taking the Caldirola-Kanai Hamiltonian in studding quantum mechanics of dissipative systems, we obtain the persistent current and the energy spectrum of a damped quantum LC-design mesoscopic circuit under the influence of a time-dependent external field.