Options
Theory of second order stationary random processes applied to GPS coordinate time-series
Language
English
Obiettivo Specifico
2T. Deformazione crostale attiva
Status
Published
JCR Journal
JCR Journal
Peer review journal
Yes
Title of the book
Issue/vol(year)
/22(2018)
ISSN
1080-5370
Electronic ISSN
1521-1886
Publisher
Springer Berlin Heidelberg
Pages (printed)
id 86
Issued date
July 2018
Alternative Location
Subjects
Abstract
The analysis of Global Positioning System (GPS) coordinates time series is a valuable tool in quantifying crustal deformations. The longer continuous GPS time series allow estimation of nonlinear signatures. As a matter of fact, besides the linear and periodic behaviors, other relevant signals are present in such time series as the so-called transient deformations. They can be related to, e.g., slow slip events, which play a crucial role in studying fault mechanisms. To give reliable estimates of these signals, an appropriate and rigorous approach for defining the deterministic and the stochastic models of the data is needed. We prove that the theory of the second order stationary random process (SOSRP) can be used to describe the stochastic behavior of the daily GPS time series. In particular, the second order stationarity condition has to be verified for the daily GPS coordinate time series to be described as a SOSRP. This method has been already used for modeling the gravity field of the earth and in predicting/filtering problems, and this work shows that it can also be useful for characterizing the colored noise in the GPS time series.
Type
article
File(s)
No Thumbnail Available
Name
[46]_GPSSolutions-2018.pdf
Size
1.75 MB
Format
Adobe PDF
Checksum (MD5)
8f34b1960b49e3b0a0359aeec0c1ae69