OFDM Simulation with Cyclic Prefix-Based Symbol Timing Synchronization and Carrier Synchronization

This MATLAB program implements a comprehensive OFDM system simulation with cyclic prefix-based symbol timing synchronization and carrier synchronization. The simulation includes key algorithms for processing OFDM signals and evaluating system performance under various synchronization conditions. The implementation utilizes MATLAB's signal processing capabilities to model the complete OFDM transmission chain, including signal generation, cyclic prefix insertion, channel effects, and synchronization recovery mechanisms. The program demonstrates practical implementation of synchronization algorithms that exploit the correlation properties of cyclic prefixes for accurate symbol timing estimation. For carrier synchronization, it incorporates frequency offset estimation and compensation techniques essential for maintaining orthogonality between subcarriers. Key functions include cyclic prefix correlation analysis, timing metric calculation, and phase-locked loop (PLL) implementations for carrier recovery. This simulation framework serves as an educational tool for understanding synchronization challenges in OFDM systems and provides a foundation for performance analysis, algorithm optimization, and further research in wireless communication systems. Researchers can modify parameters to test different channel conditions, evaluate synchronization accuracy, and analyze the impact of synchronization errors on bit error rate performance.