Correlation Analysis of Doppler Shift in Multipath and Single-Path Rayleigh Channels

This article presents MATLAB simulation procedures for analyzing multipath and single-path channels with Doppler shift in Rayleigh fading environments. We comprehensively discuss the construction of channel models and parameter configurations, validating model accuracy through MATLAB-coded simulations. The implementation covers: generating multipath channel components using Rayleigh distribution functions, simulating single-path propagation with Doppler effects via phase shift algorithms, and employing MATLAB's communication toolbox functions like rayleighchan and doppler for realistic channel emulation. We demonstrate how to simulate and analyze these channels using techniques such as impulse response calculation, signal convolution, and BER performance evaluation. Furthermore, we explore practical applications in wireless communication systems and examine their impact on communication performance metrics like signal fidelity and throughput. Through this tutorial, readers will gain deeper insights into Doppler-affected multipath/single-path channels and acquire hands-on skills for MATLAB-based simulation and analytical methodology.