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Fundamental Limitations for DOA Estimation by a Sphere
Sven Nordebo
sven.nordebo@msi.vxu.se
Mathematics and Systems Engineering
Växjö University
Växjö, Sweden
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Abstract
We consider fundamental limitations for Direction Of Arrival (DOA)
estimation with arbitrary lossless antennas or antenna arrays
inserted inside a sphere. Spherical vector modes and their
associated equivalent circuits and Q factor approximations are
employed as a general framework for the analysis. The classical
broadband matching theory by Fano is extended to a general multiport
S-parameter model of the antennas and fundamental bounds are given
for the scattering parameters with respect to bandwidth and
electrical size of the sphere. Finally, assuming a statistical
signal model with Gaussian receiver noise, the Cramer Rao lower
bound is used to derive fundamental lower bounds for the performance
of DOA estimation by a sphere.
The presentation (PDF)
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