Share Email Print

Proceedings Paper

An analytic solution to ellipsoid intersections for multistatic radar
Author(s): Samuel A. Shapero
Format Member Price Non-Member Price
PDF $17.00 $21.00

Paper Abstract

Unlike monostatic radars that directly measure the range to a target, multistatic radars measure the total path length from a transmitter, to the target, and then to the receiver. In the absence of angle information, the region of uncertainty described by such a measurement is the surface of an ellipsoid. In order to precisely locate the target, at least three such measurements are needed. In this paper, we derive from geometrical methods a general algorithmic solution to the intersection of three ellipsoids with a common focus. Applying the solution to noisy measurements via the cubature rule provides a solution that approaches the Cramer Rao Lower Bound, which we demonstrate via Monte-Carlo analysis. For conditions of low noise with non-degenerate geometries we also provide a consistent covariance estimate.

Paper Details

Date Published: 27 April 2018
PDF: 10 pages
Proc. SPIE 10646, Signal Processing, Sensor/Information Fusion, and Target Recognition XXVII, 106461L (27 April 2018); doi: 10.1117/12.2304836
Show Author Affiliations
Samuel A. Shapero, Georgia Tech Research Institute (United States)

Published in SPIE Proceedings Vol. 10646:
Signal Processing, Sensor/Information Fusion, and Target Recognition XXVII
Ivan Kadar, Editor(s)

© SPIE. Terms of Use
Back to Top
Sign in to read the full article
Create a free SPIE account to get access to
premium articles and original research
Forgot your username?