MATLAB Simulation of Doppler Shift Following Rayleigh Distribution

By conducting MATLAB simulations to model Doppler shift that follows a Rayleigh distribution, we can gain deeper insights into the role of Doppler shift in wireless communication systems. During the simulation process, we can adjust various parameters such as signal-to-noise ratio (SNR) and Doppler shift velocity to observe their impact on communication quality. This approach helps optimize communication system performance by improving transmission speed and reliability. The implementation typically involves generating Rayleigh-distributed random variables using MATLAB's raylrnd function or inverse transform methods, simulating multipath fading channels with built-in functions like rayleighchan, and analyzing frequency shift effects through power spectral density calculations and BER performance metrics. Key algorithm considerations include proper sampling rates to avoid aliasing, coherent detection techniques for frequency estimation, and statistical validation of the Rayleigh distribution fitting through goodness-of-fit tests.