polynomial chaos resources

"Fast Numerical Methods for Stochastic Computations: A Review" by Dongbin Xiu∗
http://www.ece.uvic.ca/~bctill/papers/numacoust/Xiu_2008.pdf

Prof Xiu wrote the book on the topic


"Polynomial Chaos: A Tutorial and Critique from a Statisticianís Perspective" by Anthony OíHagan
http://tonyohagan.co.uk/academic/pdf/Polynomial-chaos.pdf

Derivatives of TDR

A quick googling showed that for signal integrity applications, I couldn't find any mention of using the derivative of the TDR for any type of analysis but it turned out that it is common for water soil studies!  Here are a few links that I don't want to forget:

"A Comparison of Second-Order Derivative Based Models for Time Domain Reflectometry Waveform Analysis" in the alliance of crop, soil and environmental science societies
https://dl.sciencesocieties.org/publications/vzj/abstracts/16/7/vzj2017.01.0014?access=0&view=pdf


A nice picture of the TDR and 1st Derivative:
https://www.researchgate.net/figure/Plot-of-time-domain-reflectometer-TDR-waveform-and-first-derivative-as-seen-on-a-TDR_fig1_266878451

On the effective measurement frequency of time domain reflectometry in dispersive and nonconductive dielectric materials
https://agupubs.onlinelibrary.wiley.com/doi/full/10.1029/2004WR003816


I think that including these papers would give a nice multi-disciplinary flair to a future paper.