Time Series Data Analysis in Oceanography

ISBN-13: 9781108474276 / Angielski / Twarda / 2022 / 300 str.

Chunyan (Louisiana State University) Li

Opis

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

Spis treści

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.