Complete OFDM System Implementation

This documentation provides a complete OFDM system implementation covering modulation, demodulation, bit error rate (BER) testing, eye diagram analysis, and power spectrum detection. The implementation includes MATLAB or Python code examples demonstrating key algorithms and practical approaches. First, modulation and demodulation form the core components of OFDM systems. Our implementation uses IFFT (Inverse Fast Fourier Transform) for modulation to convert digital signals to analog waveforms, and FFT for demodulation to reconstruct the original data. The code includes cyclic prefix insertion/removal to handle multipath interference and maintain orthogonality between subcarriers. Second, BER testing serves as a critical performance metric for evaluating OFDM system reliability. We provide multiple BER testing methodologies including Monte Carlo simulations and analytical approaches. The implementation features SNR sweeping capabilities and comparative analysis with theoretical bounds using Q-function calculations. Additionally, eye diagram analysis offers visual insights into signal transmission quality. Our code generates eye diagrams by overlapping multiple symbol periods, allowing assessment of timing jitter, noise margin, and intersymbol interference. The implementation includes automatic measurement of eye opening and timing sensitivity. Finally, power spectrum detection evaluates OFDM signal spectral characteristics. We provide methods for computing and interpreting power spectral density using periodogram and Welch's method, with features for analyzing spectral efficiency and out-of-band emissions. This comprehensive program suite includes practical code examples with parameter configuration flexibility, making it suitable for both educational understanding and real-world OFDM technology applications. Each module contains detailed comments explaining algorithm choices and implementation considerations.