Laurent_Series_Based Asymptotic Waveform Evaluation and Its Application

The novel kind of asymptotic waveform evaluation technique is presented, which is based on the Laurent series expansion instead of the traditional Taylor series expansion. Through selecting internal or external region of expansion and suitable orders of expansion, this technique can approximate functions in or out of a specific region. As an example, this technique is applied to the selection of the decoupling capacitor in the power delivery system. The results show that the proposed method can help to select the proper capacitor quickly to low the Z-profile of the system, and help to optimize the design.