Variability Analysis of Crosstalk among Differential Vias using Polynomial-Chaos and Response Surface Methods


The variability of crosstalk due to changes in differential and ground via configurations is studied in this paper. The polynomial-chaos method and the response surface method are adopted to mathematically model the variability. One goal of the work is to exploit the obtained models to locate the optimal response that both meets the performance requirement and remains robust to geometry variations due to manufacturing tolerances. Both methods correlate well with simulations and show great capabilities in practical applications for optimization and sensitivity analysis. The other goal of the work is to compare the two methods in terms of mathematical theories, sampling schemes, postprocessing, accuracy, efficiency, and limitations. Details of the comparison is given through this paper and a summary table is included in Section V.


Electrical and Computer Engineering

Research Center/Lab(s)

Electromagnetic Compatibility (EMC) Laboratory


National Science Foundation (U.S.)


This work was supported by the National Science Foundation (NSF) under Grant IIP-1440110 and Grant 1332152.

Keywords and Phrases

Crosstalk; Surface properties; Geometry variations; Manufacturing tolerances; Mathematical theory; Optimal response; Performance requirements; Polynomial chaos; Response surface methods (RSM); Variability analysis; Sensitivity analysis; Differential vias; Latin hypercube (LH); Optimization; Polynomial chaos (PC); Worst-case crosstalk

International Standard Serial Number (ISSN)

0018-9375; 1558-187X

Document Type

Article - Journal

Document Version


File Type





© 2017 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.

Publication Date

01 Aug 2017