Ok, very good. Then the Fourier transform can be a powerful tool for feature engineering.
Here some threads that might be interesting for you:
- Can we start with the circle equation as decision boundary? - #12 by Christian_Simonis
- Question on Linear and logistic regression - #3 by Christian_Simonis
In the 2nd link, also a residual analysis (per feature) is described. Often this makes sense to evaluate whether or not you still have systematic patterns left that you could potentially exploit in your feature engineering: In a perfect world you would just see some random (Gaussian) distribution in your residua and no systematic patterns.
Also a feature importance analysis like SHAP (SHapley Additive exPlanations) can be a powerful tool in your feature engineering process.
Happy learning and good luck with your project!
Best regards
Christian