Designing a Multipath Rayleigh Fading Channel Simulator Utilizing Filtered Gaussian Noise Method and Sum of Sinusoidal Method

Wireless communication is rapidly emerging as the leading sector in the communication industry, with mobile communication serving as the most extensively utilized form. Nevertheless, this domain confronts various technical challenges, including issues such as fading, shadowing, interface complications, and propagation path loss. Multipath fading channel simulators play an important role in the physical layer simulations of wireless systems. This project employs MATLAB and introduces an approach based on the Filtered Gaussian Noise (FGN) and Sum of Sinusoidal (SoS) approaches are used to simulate multipath fading channel. FGN and SoS methods represent distinct strategies to simulate multipath Rayleigh fading channels. The Filtered Gaussian Noise approach involves generating a Gaussian noise with complex values, which is subsequently subjected use a low-pass filter. The filter's frequency response is precisely adjusted to mirror the power spectral density of the channel, capturing the characteristic of frequency selective fading. The Sum of Sinusoidal approach involves adding the amplitudes and phases of numerous sinusoidal impulses. To simulate the random nature of the multipath components in a Rayleigh fading channel, the random nature of these parameters is managed by appropriate probability distributions. The simulation results show that both are effective and accurate. The validation of the simulated channels against real world measurements or theoretical models. By comparing simulation results with empirical data or established theoretical frameworks, the accuracy and reliability of the simulation methods can be verified and validated.