Sixth LOIS Workshop, November 22-23, 2004
arranged by
LOIS Space Centre, Växjö, Sweden
in collaboration with
The Web Services Competence Centre, Växjö,
and organised as a satellite workshop to the
2004 Nordic Conference on Web Services.

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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

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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