A signal-specific bound for joint tdoa and FDOA estimation and its Use in combining multiple segments

We consider passive joint estimation of the time-difference of arrival (TDOA) and frequency-difference of arrival (FDOA) of an unknown signal at two sensors. The classical approach for deriving the Cram´er-Rao bound (CRB) in this context assumes that the signal (as well as the noise) is Gaussian and stationary. As a result, the obtained Fisher information matrix with respect to the TDOA and FDOA is diagonal, implying that the respective estimation errors are uncorrelated (under asymptotic conditions). However, for some speci c (non-Gaussian, non-stationary) signals, especially chirp-like signals, these errors can be strongly correlated. In this work we derive a “signal-speci c” (or a “conditional”) CRB for this problem: Modeling the signal as a deterministic unknown, we obtain a bound which, given any particular signal, can re ect the possible signal-induced correlation between the TDOA and FDOA estimates. We further demonstrate that this bound is instrumental for proper weig...

• Type: Journal
• Year: 2010
• Where: ICASSP
• Authors: Arie Yeredor
• Keywords: FDOA, ICASSP 2010, Passive Joint Estimation, Signal Processing, TDOA