A deterministic method for the derivation of a discrete WSSUS multipath fading channel model

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Abstract
A suitable and often used stochastical model for the description of the fading behaviour of a time variant and frequency‐selective channel is the wide sense stationary uncorrelated scattering (WSSUS) model. Usually, the wide sense stationary process is assumed to be a zero mean Gaussian process. In such a case, the WSSUS model is completely determind by the so called scattering function. In order to approximate a desired scattering function of a WSSUS model by a simulation model, it is well known that Monte Carlo based methods cm be used for the computation of the simulation model parameters (discrete echo delays and discrete Doppler frequencies). In this paper, we present a new method, which results always in a better approximation of a prescribed scattering function of a WSSUS model than the Monte Carlo principle. We show that the statistical behaviour of the resulting fading channel model ‐ in particular the level‐crossing rate and the average duration of fades ‐ is not only independent of a random realization of the discrete echo delays and discrete Doppler frequencies, but is also extremely close to the statistical behaviour as it was to be expected from the theory.

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