Ocean/Atmosphere Time Series Analysis

J. M. Lilly, Planetary Science Institute

GitHub repo | zip file

updated june 23, 2022

I. Fundamentals

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

Lab Assignments—Matlab version

  1. Distributional Analysis ipynb

Lab Assignments—Python version

  1. Distributional Analysis ipynb
 

II. Spectral and Time-Frequency Analysis

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

Lab Assignments—Matlab version

  1. Variance Ellipses ipynb
  2. Spectral Analysis ipynb
  3. Wavelet Transform ipynb
  4. Stochastic Modeling ipynb

Lab Assignments—Python version

  1. Variance Ellipses ipynb
  2. Spectral Analysis ipynb
  3. Wavelet Transform ipynb
  4. {Stochastic Modeling} [ipynb]
 

III. Mental Tools for Scientists