Simulation of FRFT in OFDM Systems and Investigation of Optimal Rotation Angles

Through the simulation of Fractional Fourier Transform (FRFT) in OFDM systems and the investigation of optimal rotation angles, we can gain profound insights into this technology's applications in communication fields. Initially, we will conduct simulation experiments of FRFT-based OFDM systems, typically implemented using MATLAB or Python with signal processing libraries, to evaluate system performance metrics such as Bit Error Rate (BER) and Peak-to-Average Power Ratio (PAPR). The FRFT implementation involves computing fractional powers of the Fourier transform matrix using eigenvalue decomposition or direct computation methods. Subsequently, we will analyze how different rotation angles (α parameters) affect system performance through parameter sweeping algorithms, identifying optimal angles that minimize interference and maximize spectral efficiency. Furthermore, we will explore FRFT's potential applications in channel estimation using pilot-based algorithms, signal modulation through fractional domain symbol mapping, and demodulation techniques employing inverse FRFT operations. The discussion will extend to FRFT's development prospects in future communication technologies, including 5G-Advanced and 6G systems, where its multi-domain signal processing capabilities could enhance resilience against Doppler effects and frequency-selective fading. These investigations will provide deeper understanding of FRFT applications and offer valuable guidance for its implementation in modern communication systems, potentially through optimized DSP code implementation and hardware acceleration techniques.