EMD Program with Detailed Chinese Comments

This is an exceptionally well-annotated EMD program with Chinese comments that implements the Empirical Mode Decomposition algorithm. The program decomposes input signals into multiple Intrinsic Mode Functions (IMFs) through an iterative sifting process that extracts frequency components from highest to lowest. It supports four flexible calling conventions for different application scenarios: - IMF = EMD(X) - Basic decomposition with default parameters - IMF = EMD(X, ..., Option_name, Option_value, ...) - Customizable decomposition with named parameter pairs - IMF = EMD(X, OPTS) - Structure-based parameter configuration - [IMF, ORT, NB_ITERATIONS] = EMD(...) - Extended output including orthogonality metrics and iteration counts The implementation features robust boundary handling through mirror extension and employs effective stopping criteria for the sifting process. The optional output parameters provide valuable diagnostic information: ORT measures the orthogonality between IMF components, while NB_ITERATIONS returns the number of sifting iterations performed for each IMF extraction. This makes the program particularly useful for signal analysis in both academic research and engineering applications, offering insights into decomposition quality and computational efficiency. The algorithm sequentially extracts IMFs by identifying local extrema, constructing upper and lower envelopes via cubic spline interpolation, and iteratively refining the components until they satisfy the IMF conditions. This tool significantly enhances signal processing capabilities for non-stationary data analysis across various domains including biomedical engineering, financial signal processing, and mechanical vibration analysis.