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cyschneck committed Sep 20, 2024
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<p>This Project Pythia Cookbook covers working with wavelets in Python</p>
<section id="motivation">
<h2>Motivation<a class="headerlink" href="#motivation" title="Link to this heading"><i class="fas fa-link"></i></a></h2>
<p>Wavelets are a tool to analysis time-series data. When data frequencies vary over time, wavelets can be applied to analysis trends and overcome the time vs. frequency limitations of Fourier Transforms</p>
<p>Wavelets are a powerful tool to analysis time-series data. When data frequencies vary over time, wavelets can be applied to analysis trends and overcome the time vs. frequency limitations of Fourier Transforms</p>
</section>
<section id="authors">
<h2>Authors<a class="headerlink" href="#authors" title="Link to this heading"><i class="fas fa-link"></i></a></h2>
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</section>
<section id="structure">
<h2>Structure<a class="headerlink" href="#structure" title="Link to this heading"><i class="fas fa-link"></i></a></h2>
<p>(State one or more sections that will comprise the notebook. E.g., <em>This cookbook is broken up into two main sections - “Foundations” and “Example Workflows.”</em> Then, describe each section below.)</p>
<section id="foundations">
<h3>Foundations<a class="headerlink" href="#foundations" title="Link to this heading"><i class="fas fa-link"></i></a></h3>
<p>This cookbook is broken into two main sections:</p>
<ul class="simple">
<li><p>Wavelet Basics</p></li>
<li><p>Foundations</p></li>
<li><p>Example Workflow</p></li>
</ul>
<section id="foundations">
<h3>Foundations<a class="headerlink" href="#foundations" title="Link to this heading"><i class="fas fa-link"></i></a></h3>
<p>“Wavelet Basics” covers the motivation and background for wavelet analysis by review time-series data and the strengths and weaknesses of Fourier transform</p>
</section>
<section id="example-workflows">
<h3>Example Workflows<a class="headerlink" href="#example-workflows" title="Link to this heading"><i class="fas fa-link"></i></a></h3>
<ul class="simple">
<li><p>PyWavelets and Jingle Bells</p></li>
<li><p>Spy Keypad</p></li>
<li><p>Atmospheric Data: nino3</p></li>
<li><p>PyWavelets and Jingle Bells”: Learn how to use <code class="docutils literal notranslate"><span class="pre">PyWavelets</span></code>, a Python implementation of wavelet analysis, to determine the order of notes in a simple musical piece</p></li>
<li><p>Spy Keypad”: Learn how to use wavelets to undercover the frequency and order of notes in an unkonwn piece of audio data</p></li>
<li><p>Atmospheric Data: nino3”: Replicate the power wavelet scalogram from the original 1999 Torrence and Compo paper in Python</p></li>
</ul>
</section>
</section>
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<div class="footer-item">
<p class="last-updated">
Last updated on 2 August 2024.
Last updated on 20 September 2024.
<br/>
</p>
</div>
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By the <a href="https://projectpythia.org/">Project Pythia</a> Community.

Last updated on 2 August 2024.
Last updated on 20 September 2024.
</p>
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15 changes: 9 additions & 6 deletions _sources/README.md
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This Project Pythia Cookbook covers working with wavelets in Python

## Motivation
Wavelets are a tool to analysis time-series data. When data frequencies vary over time, wavelets can be applied to analysis trends and overcome the time vs. frequency limitations of Fourier Transforms
Wavelets are a powerful tool to analysis time-series data. When data frequencies vary over time, wavelets can be applied to analysis trends and overcome the time vs. frequency limitations of Fourier Transforms

## Authors

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## Structure

(State one or more sections that will comprise the notebook. E.g., _This cookbook is broken up into two main sections - "Foundations" and "Example Workflows."_ Then, describe each section below.)
This cookbook is broken into two main sections:

- Foundations
- Example Workflow

### Foundations

- Wavelet Basics
"Wavelet Basics" covers the motivation and background for wavelet analysis by review time-series data and the strengths and weaknesses of Fourier transform

### Example Workflows

- PyWavelets and Jingle Bells
- Spy Keypad
- Atmospheric Data: nino3
- "PyWavelets and Jingle Bells": Learn how to use `PyWavelets`, a Python implementation of wavelet analysis, to determine the order of notes in a simple musical piece
- "Spy Keypad": Learn how to use wavelets to undercover the frequency and order of notes in an unkonwn piece of audio data
- "Atmospheric Data: nino3": Replicate the power wavelet scalogram from the original 1999 Torrence and Compo paper in Python

## Running the Notebooks

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