Theoretical bases of convolution technique in gradient estimation of average quality index of electronic circuits

A theoretical study of the convolution technique in Average Quality Index (AQI) gradient estimation of electronic circuits is presented. In this study, we use the novel theory of circuit class, which allows evaluating the performance of convolution technique over a large number of realistic circuits. The advantages of the convolution technique in nondifferentiable density function of circuit parameters are demonstrated. In addition, the optimal range of the control parameter in convolution technique is obtained for practical applications. The theoretical results confirm the results reported in the related literature.