Graphical Plotting of Poincaré Sections
Visualization of Poincaré sections with customizable parameters and variables for dynamic data exploration
Calculating Information Entropy and Mutual Information Between Discrete Time Series Variables
Implementation guide for computing information entropy and mutual information between discrete time series variables with probability distribution calculations and algorithmic steps
Additive Gaussian Noise Removal from Signals Using Bispectral and Wavelet Transform Methods
This set of programs implements additive Gaussian noise removal through bispectral analysis and wavelet transforms. Key implementations include: 1. Bispectral analysis program for single variables calculating third-order cumulants and Fourier transforms 2. Autocorrelation function computation using inverse Fourier transform with proper normalization 3. Spectral analysis suite using FFT for preference spectrum, power spectrum, RMS spectrum, and logarithmic spectrum 4. Wavelet-based denoising pipeline for .wav audio signals with white noise removal 5. Comparative analysis framework evaluating multiple wavelet types and thresholding techniques on identical signals
Ordinary Differential Equations
System of three-variable ordinary differential equations with dual y-axis graphical visualization