hyperbolic is a Python 3 library implementing time-frequency transforms that map specific white noises to canonical Gaussian analytic functions.
hyperbolic is the companion package to the paper
Rémi Bardenet and Adrien Hardy, Time-frequency transforms of white noises and Gaussian analytic functions, to appear in Applied and Computational Harmonic Analysis (ACHA), 2019, arxiv preprint.
Clone (or download) this repository
git clone https://github.com/rbardenet/hyperbolic.git
cd hyperbolicand execute setup.py
pip install --process-dependency-links .If you're in development mode and you want to install also dev packages, documentation and/or tests, you can do as follows:
pip install -e --process-dependency-links .You can import hyperbolic by doing
import hyperbolic as hypeThe experiments in the paper are run using the class Experiment. Here is an example of its usage:
xp = hype.Experiment()
xp.sampleWhiteNoise()
xp.performAWT()
xp.findZeros()
xp.plotResults(boolShow=1) # plots the resulting signal and scalogram, and saves the figures