Proceedings ArticleDOI
Variability analysis of via crosstalk using polynomial chaos expansion
Eduard Frick,Jan B. Preibisch,Christian Seifert,Marko Lindner,Christian Schuster +4 more
- pp 317-319
TLDR
In this paper, the authors use the polynomial chaos expansion (PCE) method for statistical analysis of a via interconnect in a printed circuit board (PCB) in presence of geometrical uncertainties.Abstract:
In this work we use the method of polynomial chaos expansion (PCE) for statistical analysis of a via interconnect in a printed circuit board (PCB) in presence of geometrical uncertainties. A physics-based via (PBV) model is applied to the case of two signal vias surrounded by ground vias. This model consist of a near-field part and a far-field part. Here, the focus is on the far-field part modeled by the contour integral method (CIM). In order to account for variability in the geometry, namely a variation of the pitch, PCE is applied to the CIM in an intrusive manner. The system matrix of the deterministic case is replaced by an augmented version. The method is validated with Monte Carlo Sampling (MC) and shows excellent agreement for a simple geometry. We observe the same agreement in more complicated geometric configurations - at least for frequencies below the first resonance.read more
Citations
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Training Set Optimization in an Artificial Neural Network Constructed for High Bandwidth Interconnects Design
TL;DR: A novel training set optimization method in an artificial neural network (ANN) constructed for high bandwidth interconnects design is proposed based on rigorous probability analysis to improve accuracy and efficiency.
Proceedings ArticleDOI
Novel Method for Error Estimation in Applications of Polynomial Chaos Expansion to Stochastic Modeling of Multi-Resonant Systems
TL;DR: A novel technique for the estimation of polynomial chaos expansion errors in multi-resonant systems is derived and demonstrated on the example of the non-intrusive PCE application to the contour integral method (CM).
Proceedings ArticleDOI
Feasibility of uncertainty quantification for power distribution network modeling using PCE and a contour integral method
TL;DR: This combination of methods represents the first application of CIM and PCE to the modeling of PDNs and the PCE is found to be numerically more efficient than Monte Carlo in cases where parameters are varied that have an influence on the parallel plate impedance.
Journal ArticleDOI
An Intrusive PCE Extension of the Contour Integral Method and its Application in Electrical Engineering
TL;DR: For the study of electromagnetic waves in a 2D environment, the Helmholtz equation can be reformulated in boundary integral form by the CIM and compared to each other and to Monte‐Carlo simulation (MC).
References
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