MATLAB Simulation of Doppler Frequency Shift Following Rayleigh Distribution

This implementation demonstrates a classic MATLAB simulation of Doppler frequency shift that follows Rayleigh distribution. The simulation framework allows for incorporating additional parameters such as signal-to-noise ratio (SNR) and transmission power to perform more comprehensive result evaluation. The core algorithm typically involves generating Rayleigh-distributed random variables using MATLAB's raylrnd function or equivalent statistical methods to model the Doppler spectrum. The simulation architecture supports comparison with alternative distribution models including Rician distribution (using ricernd function) or log-normal distribution (with lognrnd function) to analyze performance variations. By implementing these distribution models, researchers can gain deeper insights into Doppler frequency shift behavior under different channel conditions through quantitative analysis and visualization plots. Key implementation aspects include: configuring the Doppler spectrum parameters, generating Rayleigh-distributed fading samples, and analyzing the frequency shift characteristics using MATLAB's signal processing toolbox functions like pwelch for power spectral density estimation. The modular code structure facilitates easy parameter modification and extended analysis for wireless communication system studies.