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<h2 class="centered" id="data-analysis-fundamentals">Ocean/Atmosphere Time Series Analysis</h2>
<h3 class="centered"><a href="http://www.jmlilly.net">J. M. Lilly</a>, <a href="http://www.psi.edu">Planetary Science Institute</a></h3>
<h3 class="centered"><a href="https://github.com/jonathanlilly/time-series.git">GitHub repo</a> | <a href="https://github.com/jonathanlilly/time-series/archive/refs/heads/main.zip">zip file</a>

<h4 class="centered"> updated june 5, 2023 </h4>
<h3 class="centered">
<hr />

<h3 class="centered" id="data-analysis-fundamentals">I. Fundamentals</h3>

<div class="column">
  <ol>
    <li><a href="./pages/lookatthedata.html">Look at the Data</a></li>
    <li><a href="./pages/thetimedomain.html">The Time Domain</a></li>
  </ol>
</div>

<div class="column">
  <ol style="text-align:right">
    <li value="3"><a href="./pages/gallery.html">A Gallery of Visualizations</a></li>
    <!--<li><a href="./pages/principles.html">Principles of Data Analysis</a></li>-->
    <li><a href="./pages/roadmap.html">Data Analysis Roadmap</a></li>
  </ol>
</div>

<!--<p class="centered"><a href="./pages/roadmap.html">Data Analysis Roadmap</a></p>-->


<!--<div class="column">
  <ol style="text-align:right">;
    <li value="4"><a href="/blog/2020/02/09/meditation-for-scientists.html">Meditation for Scientists</a></li>
    <li><a href="/talks/mind.html#30">Six Thought Categories</a></li>
    <li><a href="/talks/mind.html#58">Five Energy Classes</a></li>
  </ol>
</div>-->

<h3 class="centered" id="lab-assignmentsmatlab-version">Lab Assignments</h3>
  <!--1.  [Data Analysis Startup](./labs/DataAnalysisStartupDemo.html) [ipynb](./labs/DataAnalysisStartupDemo.ipynb)-->
  <ol class="centered">
    <li>Distributional Analysis: <a href="./labs/html/DistributionalAnalysis-Julia.html">Julia</a> <a href="./labs/DistributionalAnalysis-Julia.ipynb" download>ipynb</a>, <a href="./labs/html/DistributionalAnalysis-Matlab.html">Matlab</a> <a href="./labs/DistributionalAnalysis-Matlab.ipynb" download>ipynb</a>, <a href="./labs/html/DistributionalAnalysis-Python.html">Python</a> <a href="./labs/DistributionalAnalysis-Python.ipynb" download>ipynb</a></li>
  </ol>


&nbsp;
<h3 class="centered" id="data-analysis-fundamentals">II. Spectral and Time-Frequency Analysis</h3>

<!--[A Motivational Overview](./pages/motivation.html) [pdf](./pages/pdfs/motivation.pdf)
{: .centered}-->

<div class="column">
  <!--1. [Introduction](./pages/index.html) [pdf](./pages/pdfs/index.pdf)-->
  <ol>
    <li><a href="./pages/motivation.html">A Motivational Overview</a></li>
<!--2. [A Motivational Overview](./pages/motivation.html) [pdf](./pages/pdfs/motivation.pdf)-->
<!--2. [Motivation](./pages/motivation.html) [pdf](./pages/pdfs/motivation.pdf)-->
<!--    <li><a href="./pages/principles.html">Principles of Data Analysis</a></li>-->
<!-- 3. [Look at the Data](./pages/lookatthedata.html) [pdf](./pages/pdfs/lookatthedata.pdf)-->
<!-- 4. [The Time Domain](./pages/thetimedomain.html) [pdf](./pages/pdfs/thetimedomain.pdf)-->
    <li><a href="./pages/thevarianceellipse.html">The Variance Ellipse</a></li>
    <li><a href="./pages/frequencybasics.html">Frequency Basics</a></li>
    <li><a href="./pages/discretefourier.html">Discrete Fourier</a></li>
    <li><a href="./pages/thetwodomains.html">The Two Domains</a></li>
  </ol>
</div>

<div class="column">
  <ol style="text-align:right">
    <li value="6"><a href="./pages/waveletanalysis.html">The Wavelet Transform</a></li>
    <li><a href="./pages/spectrumandautocovariance.html">Spectrum and Autocovariance</a></li>
    <li><a href="./pages/spectralanalysis.html">Spectral Analysis</a></li>
    <li><a href="./pages/theanalyticsignal.html">The Analytic Signal</a></li>
    <li><a href="./pages/stochasticmodeling.html">Stochastic Modeling</a></li>
    <li><a href="./pages/summary.html">Summary</a></li>
  </ol>
</div>

<!--<p class="centered"><a href="./pages/summary.html">Summary</a></p>-->


  <h3 class="centered" id="lab-assignmentsmatlab-version">Lab Assignments</h3>
  <!--1.  [Data Analysis Startup](./labs/DataAnalysisStartupDemo.html) [ipynb](./labs/DataAnalysisStartupDemo.ipynb)-->
  <ol class="centered"> 
    <li>Variance Ellipses: <a href="./labs/html/VarianceEllipses-Julia.html">Julia</a> <a href="./labs/VarianceEllipses-Julia.ipynb" download>ipynb</a>, <a href="./labs/html/VarianceEllipses-Matlab.html">Matlab</a> <a href="./labs/VarianceEllipses-Matlab.ipynb" download>ipynb</a>, <a href="./labs/html/VarianceEllipses-Python.html">Python</a> <a href="./labs/VarianceEllipses-Python.ipynb" download>ipynb</a></li> 
    <li>Spectral Analysis: <del><a href="./labs/html/SpectralAnalysis-Julia.html">Julia</a> <a href="./labs/SpectralAnalysis-Julia.ipynb" download>ipynb</a></del>, <a href="./labs/html/SpectralAnalysis-Matlab.html">Matlab</a> <a href="./labs/SpectralAnalysis-Matlab.ipynb" download>ipynb</a>, <a href="./labs/html/SpectralAnalysis-Python.html">Python</a> <a href="./labs/SpectralAnalysis-Python.ipynb" download>ipynb</a></li>
    <li>Wavelet Analysis: <del><a href="./labs/html/WaveletAnalysis-Julia.html">Julia</a> <a href="./labs/WaveletAnalysis-Julia.ipynb" download>ipynb</a></del>, <a href="./labs/html/WaveletAnalysis-Matlab.html">Matlab</a> <a href="./labs/WaveletAnalysis-Matlab.ipynb" download>ipynb</a>, <a href="./labs/html/WaveletAnalysis-Python.html">Python</a> <a href="./labs/WaveletAnalysis-Python.ipynb" download>ipynb</a></li>
  </ol>

<!--    <li><a href="./labs/html/StochasticModeling-Matlab.html">Stochastic Modeling</a> <a href="./labs/StochasticModeling-Matlab.ipynb" download>ipynb</a></li>-->


&nbsp;
<h3 class="centered" id="data-analysis-fundamentals">III. <a href="./pages/mind.html">Mental Tools for Scientists</a></h3>


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            Licensed under a <a class="media" href="http://creativecommons.org/licenses/by-nc/4.0/">Creative Commons Attribution-NonCommercial 4.0 International License</a>based on a work at <a href="http://www.jmlilly.net/courses">http://www.jmlilly.net/courses</a>.
            <br/>
            Cite as: Lilly, J. M. (2023). <i>Ocean/Atmosphere Time Series Analysis</i>, v. 0.31.  Zenodo. https://doi.org/10.5281/zenodo.5977995.
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