Visualization gui for fourier transformations
Heavily inspired by a 3 Blue 1 Brown video on the topic. It's well worth a watch!
A visualization tool for sinusoid wave forms and fourier transforms. The gui is made up of 6 six interacive plots. The first three plots allow you to create sinusoid waves with varying frequency, phase shift, and amplitude. The next plot allows you to visualize adding the three sinusoids together.
The last two plots help to visualize the fourier transform, going from the time domain to the frequency domain. The first plot here allows you to visualize the math behind the fourier tranform by wrapping the sinusoid around a circle at a given, varying, frequency and plotting the mean of the signal.1 The last plot is the output of the fourier transform itself, also mapping the mean point from the previous plot over to show the correlation.2
1 The mean is used here instead of the sum solely for plotting puposes. The sum makes the plotting boundaries to large in most cases to fully appreciate the wrapped signal.
2 This isn't the output of a traditional fourier transform or fft. Again, becuase the mean is used instead of the sum, but also because I wanted a higher bin resolution for frequecies between 0 Hz and 10 Hz. So I used a custom range of frequecies for better bin resolution.
This project depends on numpy, matplotlib and ttkbootstrap.
Install from pyproject.toml, poetry.lock, or directly with pip:
pip install numpy
pip install matplotlib
pip install ttkbootstrap
To run the gui, simply run the main.py file:
python3 main.py
I hope you enjoy!