Data Analysis

Oceanography · Part 10

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Table of Contents

  1. 1.EOF / PCA Analysis
  2. 2.Spectral & Wavelet Analysis
  3. 3.Optimal Interpolation (Objective Analysis)
  4. 4.Machine Learning in Oceanography
  5. 5.Python: EOF Analysis, Wavelet Transform & Optimal Interpolation
  6. 6.Fortran: Optimal Interpolation for Irregularly-Spaced Ocean Data

Key Equations

$$\mathbf{C} = \frac{1}{n-1} \mathbf{X}'^T \mathbf{X}', \quad \mathbf{C} \mathbf{e}_k = \lambda_k \mathbf{e}_k$$
$$f_k = \frac{\lambda_k}{\sum_j \lambda_j} \times 100\%$$
$$X(f_k) = \sum_{n=0}^{N-1} x(t_n) \, e^{-2\pi i f_k t_n}, \quad S(f_k) = \frac{2|\hat{X}(f_k)|^2}{N \Delta t}$$
$$W(s, \tau) = \frac{1}{\sqrt{s}} \sum_{n=0}^{N-1} x(t_n) \, \psi^*\!\left(\frac{t_n - \tau}{s}\right)$$

Equations are rendered with MathJax in the PDF with professional LaTeX typesetting.

Course Context

This PDF is part of the Oceanography course on CoursesHub.World. Explore the science of the seas from physical and chemical properties to marine biology and climate interactions. Covers ocean circulation, waves and tides, marine ecosystems, seafloor geology, climat...

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