Title :
Spatial Fading Correlation for Local Scattering: A Condition of Angular Distribution
Author :
Sieskul, Bamrung Tau ; Kupferschmidt, Claus ; Kaiser, MemThomas
Author_Institution :
Inst. of Commun. Technol., Leibniz Univ. Hannover, Hannover, Germany
fDate :
3/1/2011 12:00:00 AM
Abstract :
Local scattering in the vicinity of the receiver or the transmitter leads to the formation of a large number of multipath components along different spatial angles. A condition of angular distribution, which is valid for only a uniform linear array, is proposed in this paper to justify whether the spatial fading correlation (SFC) remains simple as a Bessel function. If an angular distribution satisfies the condition, a class of angular distributions is revealed and results in simplifying the analysis of the SFC. To demonstrate its practical use, we apply the condition to several angular distributions that are considered in previous works. It is found that cosine and von Mises distributions follow the condition, whereas uniform, Gaussian, and Laplacian distributions do not satisfy the condition, and then, one needs to calculate the sinusoidal coefficients in the SFC computation.
Keywords :
Bessel functions; Gaussian processes; correlation methods; electromagnetic wave scattering; linear antenna arrays; radio receivers; Bessel function; Gaussian distribution; Laplacian distribution; Mises distribution; SFC computation; angular distribution; local scattering; multipath component; sinusoidal coefficient; spatial fading correlation; uniform linear array; Antenna array; local scattering; spatial fading correlation (SFC);
Journal_Title :
Vehicular Technology, IEEE Transactions on
DOI :
10.1109/TVT.2010.2103370