Discrete Spectrum Correction Source Code for Single Frequency Component (Energy Center of Gravity Correction Method)

This source program implements discrete spectrum correction for single-frequency harmonic signals using the energy center of gravity correction method. The implementation allows users to select between rectangular window and Hanning window functions to better adapt to different application scenarios. The algorithm works by calculating the energy centroid of the spectral components around the peak frequency, providing improved frequency estimation accuracy compared to simple peak detection methods. Additional capabilities: Beyond basic discrete spectrum correction for single-frequency harmonic signals, this source code offers several advanced features. The program includes flexible window function selection, enabling users to choose appropriate window types (rectangular or Hanning) based on specific application requirements. The rectangular window implementation provides minimal spectral leakage for coherent sampling, while the Hanning window offers better side lobe suppression for non-coherent scenarios. The code architecture includes modular functions for signal preprocessing, FFT computation, peak detection, and correction algorithm application. The program has undergone comprehensive debugging and validation tests to ensure stability and reliability. Key functions include automated peak identification, interpolation-based frequency refinement, and amplitude correction calculations. Both in laboratory research and engineering applications, this source code demonstrates excellent performance with accurate frequency estimation and minimal computational overhead. These enhancements better showcase the program's characteristics and advantages while maintaining the core concepts from the original text. The implementation includes error handling and boundary condition checks to ensure robust operation across various input signal conditions.