OFDM System Simulation Implementing Three Carrier Frequency Offset Estimation Algorithms

In this paper, we conduct a comprehensive study on OFDM system simulation, implementing three different carrier frequency offset estimation algorithms with comparative analysis. We begin by introducing the fundamental principles and architecture of OFDM systems, followed by detailed explanations of carrier frequency offset concepts and their impacts on system performance. Subsequently, we present the underlying theories and implementation methodologies for three distinct frequency offset estimation algorithms, accompanied by simulation experiments and performance evaluations. The implementation involves MATLAB code structures for each algorithm, including: - Cyclic Prefix-based estimation using correlation properties between cyclic prefixes and their corresponding OFDM symbols - Pilot-assisted estimation leveraging known pilot symbols embedded in the frequency domain - Maximum Likelihood estimation employing statistical properties of received signals Each algorithm's MATLAB implementation includes key functions for signal processing, correlation calculations, and phase estimation. The simulation framework incorporates parameter configurations for different SNR conditions and frequency offset values to evaluate algorithm robustness. Finally, through comparative analysis of experimental results, we summarize the advantages and limitations of each frequency offset estimation algorithm, and propose recommendations and improvement directions to further enhance OFDM system performance and stability. The comparative metrics include estimation accuracy, computational complexity, and convergence speed under various channel conditions.