36 citations · 94 across the 10 of their papers we have counts for
10 papers
GTS_Forecaster: a novel deep learning based geodetic time series forecasting toolbox with python
Xuechen Liang, Xiaoxing He, Shengdao Wang +6
Geodetic time series -- such as Global Navigation Satellite System (GNSS) positions, satellite altimetry-derived sea surface height (SSH), and tide gauge (TG) records -- is essenti…
Data Fusion of Total Solar Irradiance Composite Time Series Using 41 Years of Satellite Measurements
Jean-Philippe Montillet, Wolfgang Finsterle, Gael Kermarrec +4
Since the late 1970s, successive satellite missions have been monitoring the sun's activity and recording the total solar irradiance (TSI). Some of these measurements have lasted f…
The Generalized Method of Wavelet Moments with Exogenous Inputs: a Fast Approach for the Analysis of GNSS Position Time Series
Davide A. Cucci, Lionel Voirol, Gaël Kermarrec +2
The Global Navigation Satellite System (GNSS) daily position time series are often described as the sum of stochastic processes and geophysical signals which allow studying global…
Application of Levy Processes in Modelling (Geodetic) Time Series With Mixed Spectra
J. P. Montillet, X. He, K. Yu
Recently, various models have been developed, including the fractional Brownian motion (fBm), to analyse the stochastic properties of geodetic time series, together with the extrac…
Introduction to Geodetic Time Series Analysis
Machiel S. Bos, Jean-Philippe Montillet, Simon D. P. Williams +1
This contribution is the chapter 2 of the book "geodetic time series analysis" (10.1007/978-3-030-21718-1). The book is dedicated to the art of fitting a trajectory model to those…
Sobolev Spaces, Schwartz Spaces, and a definition of the Electromagnetic and Gravitational coupling
J. -P. Montillet
The concept of "multiplicity of solutions" was developed in arXiv:1509.02603v2 which is based on the theory of energy operators in the Schwartz space S^-(R) and some subspaces call…
On The Use of Conjugate Teager-Kaiser Energy Operators with Matched Filters
Jean-Philippe Montillet
This work presents the proof of concept of using energy operator theory based on the conjugate Teager-Kaiser energy operators in matched filters for signal detection in multipath f…
Multiplicity of Solutions for Linear Partial Differential Equations Using (Generalized) Energy Operators
J. P. Montillet
Families of energy operators and generalized energy operators have recently been introduced in the definition of the solutions of linear Partial Differential Equations (PDEs) with…
The Generalization of the Decomposition of Functions by Energy operators (Part II) and some Applications
J. P. Montillet
This work introduces the families of generalized energy operators and ( in ). One shows that with…
The Generalization of the Decomposition of Functions by Energy Operators
Jean-Philippe Montillet
This work starts with the introduction of a family of differential energy operators. Energy operators (, ) were defined together with a method to decompose the wa…