scholarly journals Multi-Scale Entropy Analysis as a Method for Time-Series Analysis of Climate Data

Climate ◽  
2015 ◽  
Vol 3 (1) ◽  
pp. 227-240 ◽  
Author(s):  
Heiko Balzter ◽  
Nicholas Tate ◽  
Jörg Kaduk ◽  
David Harper ◽  
Susan Page ◽  
...  
Keyword(s):  
Time Series ◽  
Time Series Analysis ◽  
Entropy Analysis ◽  
Climate Data ◽  
Multi Scale ◽  
Series Analysis

Time series analysis of Holocene climate data

1990 ◽  
Vol 330 (1615) ◽  
pp. 601-616 ◽  
Keyword(s):  
Time Series ◽  
Time Series Analysis ◽  
Time Domain ◽  
Small Sample ◽  
Climate Data ◽  
Holocene Climate ◽  
Series Analysis ◽  
Window Method ◽  
Band Limited ◽  
Periodic Components

Holocene climate records are imperfect proxies for processes containing complicated mixtures of periodic and random signals. I summarize time series analysis methods for such data with emphasis on the multiple-data-window technique. This method differs from conventional approaches to time series analysis in that a set of data tapers is applied to the data in the time domain before Fourier transforming. The tapers, or data windows, are discrete prolate spheroidal sequences characterized as being the most nearly band-limited functions possible among functions defined on a finite time domain. The multiple-window method is a small-sample theory and essentially an inverse method applied to the finite Fourier transform. For climate data it has the major advantage of providing a narrowband F -test for the presence and significance of periodic components and of being able to separate them from the non-deterministic part of the process. Confidence intervals for the estimated quantities are found by jackknifing across windows. Applied to 14 C records, this method confirms the presence of the ‘Suess wiggles’ and give an estimated period of 208.2 years. Analysis of the thickness variations of bristlecone pine growth rings shows a general absence of direct periodic components but a variation in the structure of the time series with a 2360-year period.

Wavelets in Multi-Scale Time Series Analysis: An Application to Seismic Data

2021 ◽  
pp. 93-100
Author(s):  
Stefania Corsaro ◽  
Pasquale Luigi De Angelis ◽  
Ugo Fiore ◽  
Zelda Marino ◽  
Francesca Perla ◽  
...  
Keyword(s):  
Time Series ◽  
Time Series Analysis ◽  
Seismic Data ◽  
Multi Scale ◽  
Series Analysis
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