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2011

Joint TDOA and FDOA Estimation: A Conditional Bound and Its Use for Optimally Weighted Localization

10 years 8 months ago
Joint TDOA and FDOA Estimation: A Conditional Bound and Its Use for Optimally Weighted Localization
—Modern passive emitter-location systems are often based on joint estimation of the time-difference of arrival (TDOA) and frequency-difference of arrival (FDOA) of an unknown signal at two (or more) sensors. Classical derivation of the associated Cramér-Rao bound (CRB) relies on a stochastic, stationary Gaussian signal-model, leading to a diagonal Fisher information matrix with respect to the TDOA and FDOA. This diagonality implies that (under asymptotic conditions) the respective estimation errors are uncorrelated. However, for some specific (nonstationary, non-Gaussian) signals, especially chirp-like signals, these errors can be strongly correlated. In this work we derive a “conditional” (or a “signal-specific”) CRB, modeling the signal as a deterministic unknown. Given any particular signal, our CRB reflects the possible signal-induced correlation between the TDOA and FDOA estimates. In addition to its theoretical value, we show that the resulting CRB can be used for o...
Arie Yeredor, Eyal Angel
Added 15 May 2011
Updated 15 May 2011
Type Journal
Year 2011
Where TSP
Authors Arie Yeredor, Eyal Angel
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