ON THE STATISTICAL PROPERTIES OF DETERMINISTIC SIMULATION-MODELS FOR MOBILE FADING CHANNELS

Rice's sum of sinusoids can be used for an efficient approximation of colored Gaussian noise processes and is therefore of great importance to the software and hardware realization of mobile fading channel mode ls. Although several methods can be found in the literature for the co mputation of the parameters characterizing a proper set of sinusoids, only less is reported about the statistical properties of the resultin g (deterministic) simulation model. This is the topic of the present p aper, whereby not only the simulation model's amplitude and phase prob ability density function (pdf) will be investigated, but also higher o rder statistics [e.g., level-crossing rate (lcr) and average duration of fades (adf's)]. It will be shown that due to the deterministic natu re of the simulation model, analytical expressions for the pdf of ampl itude and phase, autocorrelation function (acf), cross-correlation fun ction (ccf), lcr, and adf's can be derived, We also propose a new proc edure for the determination of an optimal set of sinusoids, i.e., the method results for a given number of sinusoids in an optimal approxima tion of Gaussian, Rayleigh, and Rice processes with given Doppler powe r spectral density (psd) properties, It will be shown that the new met hod can easily be applied to the approximation of various other kinds of distribution functions, such as the Nakagami and Weibull distributi ons. Moreover, a quasi-optimal parameter computation method is present ed.