pytutorial/pywavelet/README.md

# [PyWavelets](https://pywavelets.readthedocs.io/en/latest/) -- Wavelet Transforms in Python
## The goal
How do we do wavelet transforms under Python?

Questions to [David Rotermund](mailto:davrot@uni-bremen.de)

You might want to read: [A Practical Guide to Wavelet Analysis](https://paos.colorado.edu/research/wavelets/)  ->  [PDF](https://paos.colorado.edu/research/wavelets/bams_79_01_0061.pdf)

```shell
pip install PyWavelets
```

## Which [continuous mother wavelets](https://pywavelets.readthedocs.io/en/latest/ref/cwt.html#continuous-wavelet-families) are available?

```python
import pywt

wavelet_list = pywt.wavelist(kind="continuous")
print(wavelet_list)
```

```Python console
['cgau1', 'cgau2', 'cgau3', 'cgau4', 'cgau5', 'cgau6', 'cgau7', 'cgau8', 'cmor', 'fbsp', 'gaus1', 'gaus2', 'gaus3', 'gaus4', 'gaus5', 'gaus6', 'gaus7', 'gaus8', 'mexh', 'morl', 'shan']
```

* The mexican hat wavelet "mexh" 
* The Morlet wavelet "morl"
* The complex Morlet wavelet ("cmorB-C" with floating point values B, C) 
* The Gaussian wavelets ("gausP" where P is an integer between 1 and and 8)
* The complex Gaussian wavelets ("cgauP" where P is an integer between 1 and 8)
* The Shannon wavelets ("shanB-C" with floating point values B and C)
* The frequency B-spline wavelets ("fpspM-B-C" with integer M and floating point B, C)

  see [Choosing the scales for cwt](https://pywavelets.readthedocs.io/en/latest/ref/cwt.html#choosing-the-scales-for-cwt)

  ## Visualizing wavelets