| Brenneman 2006-04-25, 5:48 pm |
| Hi,
I am a mathematician working on some interferometric problems, and I
find myself having trouble getting an actual definition of "direction
of arrival" (or DOA).
Some older analyses using linear antenna arrays seem to use the
inclination angle, theta, (i.e. the angle with the +z-axis or
"azimuthal angle") for the DOA, but for a source that is not coplanar
with the array, there is a factor of Cos(phi) in the phase portion of
the steering vector (where phi is the angle with the +x-axis or polar
angle).
Some analyses seem to define a generic phase angle from the inner
product of the source orientation with the array position vector. This
definition is consistent for a linear array, but it is not for a planar
array.
Is there a rigorous definition of what is meant for "direction of
arrival" (or angle of arrival) that holds for a general array and
source? You can respond directly to this post or via my e-mail address.
TIA,
Matt
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