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pySCSA

pySCSA is a Python implementation of the one-dimensional Semi-Classical Signal Analysis method proposed in [1]. The primary concept behind SCSA is to consider any pulse-shaped signal as Schrödinger's operator potential and utilize its discrete spectrum to analyze the signal. For more information regarding the mathematical principles and the algorithm, please refer to [1].

In this repository, you will find the following scripts:

  1. scsa.py A Python class that implements the basic one-dimensional SCSA algorithm
  2. example_sech.py An example of how to use the SCSA class on a sech function
  3. example_gaussian.py An example of how to use the SCSA class on a Gaussian function
  4. example_neural_spike.py An example of how to apply SCSA on a neural spike

Example Usage

The user can run the demos/examples provided here by typing the following commands in a terminal:

$ python3 example_sech.py

$ python3 example_gaussian.py

Dependencies - Requirements

The SCSA class and the example scripts require the following Python packages:

  • Numpy >= 1.26.4
  • Scipy >= 1.13.0
  • Matplotlib >= 3.5.1
  • Scikit-learn >= 1.4.1.post1

Tested platforms

The software available in this repository has been tested on the following platforms:

  • Ubuntu 22.04.4 LTS
  • Python 3.10.12
  • GCC 11.4.0
  • x86_64

References

  1. Laleg-Kirati, Taous-Meriem, Emmanuelle Crépeau, and Michel Sorine. "Semi-classical signal analysis." Mathematics of Control, signals, and Systems 25 (2013): 37-61.

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Simple Python implementation of the Semi-classical signal analysis algorithm

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