Time Series Data Analysis in Oceanography
Applications using MATLAB

Textbook for students and researchers in oceanography and Earth science on theory and practice of time series analysis using MATLAB.

Chunyan Li (Author)

9781108474276, Cambridge University Press

Hardback, published 5 May 2022

300 pages
25.1 x 17.4 x 3.2 cm, 1.01 kg

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.

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.

Subject Areas: Data capture & analysis [UNC], Mathematical & statistical software [UFM], Oceanography [seas RBKC], Atmospheric physics [PHVJ], Data analysis: general [GPH]