Ocean/Atmosphere Time Series Analysis

J. M. Lilly
Planetary Science Institute

updated january 9, 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. Spectrum and Autocovariance
  1. The Two Domains
  2. Spectral Analysis
  3. The Wavelet Transform
  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