Time Series Data Analysis in Oceanography: Applications using MATLAB

by Chunyan Li

Overview

Chunyan Li is a course instructor with many years of experience in teaching about time series analysis. His book is essential for students and researchers in oceanography and other subjects in the Earth sciences, looking for a complete coverage of the theory and practice of time series data analysis using MATLAB. This textbook covers the topic's core theory in depth, and provides numerous instructional examples, many drawn directly from the author's own teaching experience, using data files, examples, and exercises. The book explores many concepts, including time; distance on Earth; wind, current, and wave data formats; finding a subset of ship-based data along planned or random transects; error propagation; Taylor series expansion for error estimates; the least squares method; base functions and linear independence of base functions; tidal harmonic analysis; Fourier series and the generalized Fourier transform; filtering techniques: sampling theorems: finite sampling effects; wavelet analysis; and EOF analysis.

Product Details

ISBN-13:	9781108474276
Publisher:	Cambridge University Press
Publication date:	05/05/2022
Pages:	300
Product dimensions:	6.85(w) x 9.88(h) x 1.26(d)

About the Author

Chunyan Li is Professor and Mobil Distinguished Professor of Marine Geology in the Department of Oceanography and Coastal Sciences at Louisiana State University. He is Director of the Wave-Current-Surge Information System (WAVCIS), part of the Gulf Coastal Ocean Observing System (GCOOS), which collects real time meteorological and oceanographic data. Li's research focusses on coastal physical oceanography, estuarine dynamics, innovative ocean observations, atmospheric-oceanic observing systems, storm surge and severe weather induced ocean response. He has published almost a hundred peer-reviewed papers, many of which have involved ocean time series analysis and associated theories and dynamical processes in estuaries and the coastal ocean.

Table of Contents

1. Introduction; 2. Introduction to MATLAB; 3. Time and MATLAB Functions for Time; 4. Deterministic and Random Functions; 5. Error and Variability Propagation; 6. Taylor Series Expansion and Application in Error Estimate; 7. Selected Topics in Spherical Trigonometry; 8. A System of Linear Equations and Least Squares Method; 9. Base Functions and Linear Independence; 10. Generic Least Squares Method and Orthogonal Functions; 11. Harmonic Analysis of Tide; 12. Fourier Series; 13. Fourier Transform; 14. Discrete Fourier Transform and Fast Fourier Transform; 15. Properties of Fourier Transform; 16. More Discussion on the Harmonic Analysis and Fourier Analysis; 17. Effect of Finite Sampling; 18. Power Spectrum, Co-Spectrum, and Coherence; 19. Window Functions for Reducing Side Lobes; 20. Convolution, Filtering with the Window Method; 21. Digital Filters: FIR and IIR Filters; 22. Rotary Spectrum Analysis; 23. Short-Time Fourier Transform and Introduction to Wavelet Analysis; 24. Empirical Orthogonal Function Analysis; References; Index.