Chirp Signal Simulation with MATLAB

In this paper, we conducted MATLAB simulations of chirp signals and investigated their fractional Fourier transform (FRFT) focusing effects. The simulation employs MATLAB's built-in chirp function (chirp(t, f0, t1, f1)) to generate linear frequency-modulated signals, followed by fractional Fourier transform implementation using discrete sampling algorithms. Notably, chirp signals play a crucial role in signal processing applications such as spectrum estimation and adaptive filtering. Our investigation included analyzing transformation effects under various conditions, including different chirp rates and FRFT rotation angles, which demonstrated distinct energy concentration properties in the fractional Fourier domain. The MATLAB code incorporates parameter sweeps to systematically study these characteristics, utilizing plotting functions (plot, spectrogram) for visualization. Through this simulation experiment, we gained deeper insights into signal processing principles and practical applications of chirp signals in time-frequency analysis.