A Novel Wavelet-Based Method for TSV Modeling

This paper presents a new computational mathematical model based on Haar-wavelet transform to investigate the TSV and extract its parasitics. A wavelet is used to accelerate the convergence rate of the iterative solver as the conventional basis yields a full matrix, but the wavelet expansion results in a nearly diagonal or nearly block-diagonal sparse matrix. Moreover, the wavelets can be used to reveal important aspects that cannot be noticed by conventional methods. The TSV has been analyzed using conventional moment method in conjunction with wavelet. The results show good agreement with the results obtained in literature. This work is a first step toward applying Wavelets in modeling TSVs to reduce the simulation time significantly, while maintaining the same degree of accuracy presented by the conventional modeling technique. Wavelets present a framework for accelerating the solution of electromagnetic problems. Index Terms - Through Silicon Via, TSV, Modeling, Wavelet, Transform, Haar, LPF, HPF, Scale, FEM, FDTD.