Time Series Data Analysis in Oceanography

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.

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.