Ocean/Atmosphere Time Series Analysis

J. M. Lilly, Planetary Science Institute

GitHub repo | zip file

updated july 28, 2024

I. Fundamentals

  1. Look at the Data
  2. The Time Domain
  1. The Variance Ellipse
  2. A Gallery of Visualizations
  3. Data Analysis Roadmap

Lab Assignments

  1. Distributional Analysis: Julia ipynb, Matlab mlx, Python ipynb
  2. Variance Ellipses: Julia ipynb, Matlab mlx, Python ipynb
 

II. Spectral and Time-Frequency Analysis

  1. A Motivational Overview
  2. Frequency Basics
  3. Discrete Fourier
  4. The Two Domains
  5. The Wavelet Transform
  1. Spectrum and Autocovariance
  2. Spectral Analysis
  3. The Analytic Signal
  4. Stochastic Modeling
  5. Summary

Lab Assignments

  1. Spectral Analysis: Julia ipynb, Matlab mlx, Python ipynb
  2. Wavelet Analysis: Julia ipynb, Matlab mlx, Python ipynb
 

III. Mental Tools for Scientists