The Gaussian Process Hilbert Transform (GP-HT): Testing the Consistency of Electrochemical Impedance Spectroscopy Data

Abstract

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Methods for the Determination of Valid Impedance Spectra in Non‐stationary Electrochemical Systems: Concepts and Techniques of Practical Importance

“…Some interesting innovations in the field are discussed in. [48][49][50] The transfer function constitutes a valid impedance provided that the following criteria are met (it should be noted here, that the terminology used by different authors is far from being consistent, and even the number and meaning of the necessary conditions that need to be met varies in different literature sources, see e. g. the survey in ref. [51], where an elegant mathematical foundation for validity tests of impedance data and of impedance-based modeling approach by means of mathematical system theory is presented):…”

Extended Distribution of Relaxation Time Analysis for Electrochemical Impedance Spectroscopy

“…33 Recently reported DRT programs have solved the problem of Zimag divergence at the high-frequency limit. These methods involve the addition of an isolated inductor, [2][3][4]6,19 wherein Eq. ( 1) is used as the principal equation for DRT analysis.…”

Gaussian Processes for the Analysis of Electrochemical Impedance Spectroscopy Data: Prediction, Filtering, and Active Learning

“…Then, Maradesa et al extended this framework to constrain the DRT to be non-negative using a finite GP approximation [30]. Moreover, Ciucci used GPs complying with the Hilbert transform to evaluate EIS spectra quality [40,41]. This work develops three new ways in which GPs augment experiments.…”