MATLAB Simulation of Rayleigh Channel with Source Code

This document provides MATLAB source code for simulating Rayleigh channel characteristics. The code implements fundamental channel modeling techniques using Rayleigh distribution properties to represent multipath fading environments. Key implementation aspects include: 1. Generating complex Gaussian random variables using MATLAB's randn function 2. Applying inverse transform sampling to create Rayleigh-distributed envelope 3. Implementing Doppler spread simulation for time-varying channel effects 4. Creating tapped-delay-line models for multipath propagation The simulation employs MATLAB's communication toolbox functions where appropriate, while maintaining simplicity for educational purposes. The code structure includes channel initialization, signal transmission through the channel model, and performance analysis through BER calculations. Additional detailed explanations are provided to help users understand underlying principles of wireless channel simulation, including small-scale fading characteristics, coherence time/bandwidth concepts, and practical implementation considerations for digital communication systems. Continue reading for comprehensive information about channel modeling methodologies and their applications in communication system design.