Title :
The simulation of independent Rayleigh faders
Author :
Li, Yunxin ; Huang, Xiaojing
Author_Institution :
Motorola Australian Res. Center, Botany, NSW, Australia
fDate :
9/1/2002 12:00:00 AM
Abstract :
Multiple independent Rayleigh fading waveforms are often required for the simulation of wireless communications channels. Jakes (1974) Rayleigh fading model and its derivatives based on the sum-of-sinusoids provide simple simulators, but they have major shortcomings in their simulated correlation functions. 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 the power spectral density.
Keywords :
Rayleigh channels; correlation methods; digital simulation; land mobile radio; mean square error methods; spectral analysis; Jakes Rayleigh fading model; Rayleigh fading waveforms; approximate waveforms; autocorrelation function; computational reduction; independent Rayleigh faders simulation; mean-square-error; mobile communications; performance evaluation; power spectral density; quality measures; second-order moment; simulated correlation functions; sum-of-sinusoids fading model; wireless communications channels; Australia; Autocorrelation; Bandwidth; Fading; Gaussian processes; Oscillators; Power generation; Random processes; Rayleigh channels; Wireless communication;
Journal_Title :
Communications, IEEE Transactions on
DOI :
10.1109/TCOMM.2002.802562
