OFDM Peak-to-Average Power Ratio Computation with Modulation Analysis

This research investigates the Peak-to-Average Power Ratio (PAPR) of Orthogonal Frequency Division Multiplexing (OFDM) systems under various modulation schemes and visualizes the results through graphical plots. OFDM represents a widely adopted digital communication technique that enhances spectral efficiency by dividing signals into multiple orthogonal subcarriers. The implementation typically involves generating random input data, applying digital modulation (such as QPSK, 16-QAM, or 64-QAM), performing IFFT transformation to create time-domain signals, and calculating PAPR using the formula PAPR = max(|x(t)|²)/mean(|x(t)|²). However, OFDM systems face significant challenges with high PAPR values, which can cause signal distortion and reduce power amplifier efficiency. Through systematic comparison of different modulation techniques using MATLAB or Python scripts with plotting libraries like matplotlib, we can analyze how modulation order affects PAPR characteristics. The graphical visualization enables clearer understanding of the relationship between PAPR and signal quality, providing valuable references for optimizing OFDM system parameters in future research studies.