Time Series Data Analysis in Oceanography: Applications using MATLAB

Chunyan Li

doi:10.1017/9781108697101

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Time Series Data Analysis in Oceanography

Time Series Data Analysis in Oceanography

Applications using MATLAB

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Chunyan Li, Louisiana State University

Publisher:: Cambridge University Press
Online publication date:: April 2022
Print publication year:: 2022
Online ISBN:: 9781108697101
DOI:: https://doi.org/10.1017/9781108697101

Subjects:: Earth and Environmental Sciences, Statistics for Physical Sciences and Engineering, Oceanography and Marine Science, Statistics and Probability

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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.

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Time Series Data Analysis in Oceanography

Applications using MATLAB

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Contents

Time Series Data Analysis in Oceanography
pp i-ii

Time Series Data Analysis in Oceanography - Title page
pp iii-iii

Copyright page
pp iv-iv

Contents
pp v-xii

Preface
pp xiii-xiv

Acknowledgments
pp xv-xvi

1 - Introduction
pp 1-18

2 - Introduction to MATLAB
pp 19-52

3 - Time and MATLAB Functions for Time
pp 53-77

4 - Deterministic and Random Functions
pp 78-89

5 - Error and Variability Propagation
pp 90-109

6 - Taylor Series Expansion and Application in Error Estimate
pp 110-129

7 - Spherical Trigonometry and Distance Computation
pp 130-142

8 - A System of Linear Equations and Least Squares Method
pp 143-164

9 - Base Functions and Linear Independence
pp 165-177

10 - Generic Least Squares Method and Orthogonal Functions
pp 178-189

11 - Harmonic Analysis of Tide
pp 190-206

12 - Fourier Series
pp 207-229

13 - Fourier Transform
pp 230-241

14 - Discrete Fourier Transform and Fast Fourier Transform
pp 242-266

15 - Properties of Fourier Transform
pp 267-278

16 - More Discussion on the Harmonic Analysis and Fourier Analysis
pp 279-307

17 - Effect of Finite Sampling
pp 308-330

18 - Power Spectrum, Cospectrum, and Coherence
pp 331-347

19 - Window Functions for Reducing Side Lobes
pp 348-356

20 - Convolution, Filtering with the Window Method
pp 357-373

21 - Digital Filters
pp 374-398

22 - Rotary Spectrum Analysis
pp 399-414

23 - Short-Time Fourier Transform and Introduction to Wavelet Analysis
pp 415-426

24 - Empirical Orthogonal Function Analysis
pp 427-457

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Time Series Data Analysis in Oceanography

Applications using MATLAB

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