R. Gupta and A. Trivedi
Channel models, Rayleigh fading, sum of sinusoids, AR process,autocorrelation function
In this paper, we have presented a comparative study of four different Rayleigh fading channel simulation methods with respect to computational complexity and accuracy. Fidelity of the various simulators is examined in terms of confidence interval also. The sum-of-sinusoids (SOS)-based simulation method can accurately generate a very long sequence without any impact on computer memory usage. The inverse discrete Fourier transform (IDFT)- based simulator is relatively fast and able to generate a sequence corresponding to a given autocorrelation function (ACF). However, its applicability is limited due to large memory space requirement. For small sequences, algorithm based on covariance matrix is most efficient but its time complexity grows many folds as the sequence length is increased. Autoregressive modelling (AR) of fading process is needed when time evolution of fading process is exploited for channel tracking. The accuracy of the generated sequence ACF using the above four methods is also compared through an example.
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