A Fast Computation Method in Frequency Domain for Power Ground Plane Impedance Calculation Using the Mobius Transform

A new method to reduce the computation time in power/ground-plane analysis is proposed. The proposed method is based on an approximation of impedance in the frequency domain using Mobius transform. The power/ground plane impedance is transformed by Mobius transform and is more linear than the raw impedance, which ensures that a simple approximation is possible. After the approximation, an inverse Mobius transform is applied to predict the power/ground plane impedance. This method displays the high speed of computing with good accuracy. In the case of impedance calculation for a 17.78 cm times 10.16 cm printed circuit board (PCB) board, the proposed method has shown to be 12 times faster than conventional methods. This method can be applied to the analysis and design of power/ground-plane where complex computation is needed.