MATLAB Program for Calculating Delay Time and Embedding Dimension Using CC Method

This MATLAB program provides a computational implementation of the CC (Correlation Integral) method for determining optimal time delay and embedding dimension parameters in time series analysis. The algorithm utilizes correlation integral calculations and statistical measures to identify proper embedding parameters for phase space reconstruction. The core implementation involves calculating the correlation integral for different embedding dimensions and time delays. The program features key functions for computing correlation sums, analyzing local minima of the correlation integral, and identifying the optimal embedding parameters where the correlation integral exhibits significant changes. After processing the input time series data, the program generates a comprehensive analysis report containing the calculated time delay, embedding dimension values, and related statistical metrics. The implementation includes visualization capabilities for plotting correlation integral curves and highlighting the optimal parameter selection points. This MATLAB implementation is particularly valuable for researchers in signal processing, nonlinear dynamics, and telecommunications who require precise parameter estimation for phase space reconstruction. The algorithm automates the computationally intensive correlation calculations that would be impractical to perform manually, providing reliable results for chaos analysis and nonlinear system identification. The code structure includes modular functions for data preprocessing, correlation computation, and parameter optimization, making it adaptable for various time series analysis applications. The program outputs both numerical results and graphical representations to facilitate thorough analysis and verification of the computed parameters.