Variance of OFDM Frequency Offset Estimation Error with MATLAB Implementation

This article presents a MATLAB-based implementation for analyzing the variance of OFDM frequency offset estimation error. The program features a complete workflow including signal generation, frequency offset simulation, estimation algorithms, and statistical analysis. The code implements key components such as: - OFDM signal generation with configurable parameters (subcarriers, cyclic prefix) - Frequency offset injection and compensation mechanisms - Maximum likelihood estimation (MLE) or pilot-based estimation algorithms - Variance calculation through Monte Carlo simulations - Automated plotting functions for result visualization Users can easily execute the program to obtain detailed graphical results showing error distribution, variance trends, and performance metrics under different parameter configurations. The implementation allows researchers to explore how factors like SNR, pilot patterns, and estimation window size affect frequency offset estimation accuracy. This tool serves as both an educational resource for understanding OFDM synchronization challenges and a research platform for developing improved estimation techniques. The modular code structure enables straightforward customization for specific research needs while maintaining robust performance verification capabilities.