Sammendrag
A sparse multipath channel is characterized by a
small number of randomly distributed scatterers. This study
proposes a methodology for the modelling of sparse multipath
channels. The new methodology is then used to develop a
sparse narrowband multipath channel model by applying the
sum-of-cisoids (SOC) principle. The statistical properties of the
presented sparse SOC multipath channel model are studied.
Analytical expressions are derived for the mean value, variance,
autocorrelation function (ACF) and cross-correlation function
(CCF) of the complex channel gain, as well as for the probability
density function (PDF) of the envelope. Our study shows that
mobile radio channels behave in sparse scattering environments
completely different from what is known from innumerable
studies assuming rich scattering. The derived analytical expressions
unfold their full significance if the number of multipath
components is small and the path gains are unbalanced, which
prevents invoking the central limit theorem.
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