Multiple independent Rayleigh fading waveforms are often required for the simulation of wireless communications channels. Jakes Rayleigh fading model and its derivatives based on sum-of-sinusoids provide simple simulators, but they have major shortcomings in their simulated correlation functions. In this paper, a novel sum-of-sinusoids fading model is proposed and verified, which generates Rayleigh fading processes satisfying the theoretical independence requirements and providing desired power spectral densities with ideal second-order moment. The effects of replacing sinusoids in the proposed model by their approximate waveforms are also analyzed and tested. Performance evaluation and comparison are provided, using the quality measures of the mean-square-error of autocorrelation function and the second-order moment of power spectral density.
- Fading channels
- Rayleigh channels
- Simulation and mobile communications