MATLAB Simulation Program for Gaussian Pulse Spectrum Analysis

This article presents a comprehensive MATLAB simulation approach for spectral analysis of Gaussian pulses. First, you'll gain fundamental understanding of Gaussian pulses and their practical applications in signal processing. The implementation begins with generating Gaussian pulses using MATLAB's built-in functions like gauspuls() or custom mathematical expressions defining the pulse waveform. The simulation covers time-domain pulse generation with parameters controlling pulse width and amplitude. Following pulse generation, the program demonstrates frequency spectrum analysis using MATLAB's signal processing toolbox functions such as fft() for Fast Fourier Transform implementation and periodogram() for power spectral density estimation. Key algorithmic steps include proper signal windowing techniques to minimize spectral leakage and frequency resolution optimization. The analysis section explains how to interpret spectral characteristics including bandwidth calculation and center frequency identification. Through this simulation, you'll master essential skills for implementing spectral analysis algorithms and gain deeper insights into Gaussian pulse behavior in both time and frequency domains. Advanced topics may include comparing theoretical Gaussian pulse spectra with simulated results and analyzing spectral properties under different parameter configurations.