Doppler Classical Spectrum

This implementation uses Simulink with MATLAB Function blocks to generate a single-path Rayleigh channel model exhibiting classical Doppler spectrum characteristics. The model configures a mobile velocity parameter of 120 km/h and includes theoretical foundations for the Doppler classical spectrum. The MATLAB Function block implements the Jakes spectrum model through inverse Fourier transform of the specified Doppler spectrum, generating complex Gaussian random processes with appropriate autocorrelation properties. The channel model can be extended by incorporating additional parameters such as fade depth, signal power, and Doppler spread to enhance analysis capabilities. Key implementation aspects include using Rayleigh fading generators with proper Doppler filtering and configuring the maximum Doppler frequency based on velocity and carrier frequency parameters. This approach enables comprehensive study of Rayleigh channel characteristics under various mobile scenarios, supporting performance evaluation of wireless communication systems. The code structure typically involves: initializing Doppler filter coefficients, generating complex Gaussian noise, applying Doppler shaping filters, and normalizing output power. The MATLAB Function block allows direct implementation of mathematical models while maintaining Simulink's graphical simulation environment for system-level analysis.