A proposal for two-sided Laplace transforms and its application to electronic circuits

摘要

This paper proposes the expanded two-sided Laplace transform with time region of −∞ < t < ∞. This transform is defined by dividing into two parts, one is the positive time function and the other is the negative time function. As the application of this transform, electric circuits with source of positive and negative time functions with respect to time t = 0 are presented, and the causal results are obtained.