Time Series Data Analysis in Oceanography

Abstract

is a course instructor with years of experience in teaching physical oceanography, estuarine dynamics, weather analysis, calculus, and time series analysis. This book is for students and researchers interested in oceanography and other subjects in the Earth sciences who are looking for complete coverage of the theory and practice of time series data analysis using MATLAB. This textbook provides an introduction to the topic's core theory with examples and exercises, many drawn directly from the author's own teaching and research experiences. The book discusses many concepts, including time; distance on Earth; wind, current, and wave data formats; finding a subset of moving platform-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; discrete Fourier transform and fast Fourier transform; power spectrum, cospectrum, and coherence; convolution and digital filtering techniques; sampling theorems; finite sampling effects, window functions, and reduction of side lobe effects; rotary spectrum analysis for velocity vector time series; short-term Fourier transform; wavelet analysis; and EOF analysis. chunyan li is a professor in the Department of Oceanography and Coastal Sciences, College of the Coast and Environment 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 focuses on coastal physical oceanography, estuarine dynamics, ocean observations, atmospheric-oceanic observing systems, storm surge, and severe weather-induced ocean response. He has published 120 peer-reviewed papers, many of which have involved ocean time series analysis and associated theories and dynamical processes in estuaries and the coastal ocean.