2D and 3D representations of the noise in a PCB using analytical methods

The paper proposes a solution to analyze the power planes with and without decoupling capacitors in the frequency domain using analytical methods. Using analytical methods, we can describe the self-impedance and the transfer impedance of two ports that are mounted on a plane pair. Based on the paper [1], our goal is to develop a tool using MATLAB that help us to analyze the noise in a Printed Circuit Board (PCB) based on the bi-dimensional (2D) and three-dimensional (3D) representations of the voltage distribution across the power planes. These representations help us to visualize and determine the best decoupling scenario and decide the optimum location for the decoupling capacitors and ICs and the number of the capacitors that will make the Power Distribution Network (PDN) work properly.