Spatial Correlation for DoA Characterization Using Von Mises, Cosine, and Gaussian Distributions
This paper presents mathematical expressions for the spatial correlation between elements of linear and circular antenna arrays, considering cosine, Gaussian, and Von Mises distributions, for the direction of arrival (DoA) of the electromagnetic waves at the receiver antenna. The expressions obtaine...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2011-01-01
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| Series: | International Journal of Antennas and Propagation |
| Online Access: | http://dx.doi.org/10.1155/2011/540275 |
| Summary: | This paper presents mathematical expressions for
the spatial correlation between elements of linear and circular
antenna arrays, considering cosine, Gaussian, and Von Mises distributions,
for the direction of arrival (DoA) of the electromagnetic
waves at the receiver antenna. The expressions obtained for the
Von Mises distribution can include or not the mutual coupling
effect between the elements and are simpler than those obtained
for the cosine and the Gaussian distributions of the angle of
arrival. The Von Mises distribution produces spatial correlation
expressions in terms of Bessel and trigonometric functions. An
exact expression for the spatial correlation, taking into account
the mutual coupling, for the circular and linear arrays and an
arbitrary number of elements are presented. It can be verified,
by numerical evaluation of the expressions, that the coupling
between the elements correlates the electromagnetic field, and a
separation of half wavelength could not be enough to decorrelate
them. |
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| ISSN: | 1687-5869 1687-5877 |