Predicting Instability in Transient Simulations, using Complex Numerical Impulse Response

In this paper, a method for detecting instability of transient simulation of the SPICE equivalent circuit models is presented. The proposed algorithm, uses the behavior of the real/imaginary part of the impulse response obtained from Inverse Laplace Transform (ILT) of the transfer function in pole-zero form, to decide whether the transient simulation will run and converge, or fail.