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Chunyan Li, Chunyan (Louisiana State University) Li

Time Series Data Analysis in Oceanography

Name: Time Series Data Analysis in Oceanography
Author: Chunyan Li

Applications using MATLAB

Gebonden Engels 2022 9781108474276

65,90

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Samenvatting

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.

Specificaties

ISBN13:9781108474276

Taal:Engels

Bindwijze:Gebonden

Aantal pagina's:300

Uitgever:Cambridge University Press

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Inhoudsopgave

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.

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