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Article

Joint Delay-Doppler Estimation Performance in a Dual Source Context

1
Telecommunication for Space and Aeronautics (TéSA) Laboratory, 31500 Toulouse, France
2
ISAE-SUPAERO, University of Toulouse, 31400 Toulouse, France
3
CNES, 31400 Toulouse, France
*
Author to whom correspondence should be addressed.
Remote Sens. 2020, 12(23), 3894; https://doi.org/10.3390/rs12233894
Received: 20 October 2020 / Revised: 23 November 2020 / Accepted: 24 November 2020 / Published: 27 November 2020
(This article belongs to the Special Issue GNSS for Urban Transport Applications)
Evaluating the time-delay, Doppler effect and carrier phase of a received signal is a challenging estimation problem that was addressed in a large variety of remote sensing applications. This problem becomes more difficult and less understood when the signal is reflected off one or multiple surfaces and interferes with itself at the receiver stage. This phenomenon might deteriorate the overall system performance, as for the multipath effect in Global Navigation Satellite Systems (GNSS), and mitigation strategies must be accounted for. In other applications such as GNSS reflectometry (GNSS-R) it may be interesting to estimate the parameters of the reflected signal to deduce the geometry and the surface characteristics. In either case, a better understanding of this estimation problem is directly brought by the corresponding lower performance bounds. In the high signal-to-noise ratio regime of the Gaussian conditional signal model, the Cramér-Rao bound (CRB) provides an accurate lower bound in the mean square error sense. In this article, we derive a new compact CRB expression for the joint time-delay and Doppler estimation in a dual source context, considering a band-limited signal and its specular reflection. These compact CRBs are expressed in terms of the baseband signal samples, making them especially easy to use whatever the baseband signal considered, therefore being valid for a variety of remote sensors. This extends existing results in the single source context and opens the door to a plethora of usages to be discussed in the article. The proposed CRB expressions are validated in two representative navigation and radar examples. View Full-Text
Keywords: time-delay and Doppler estimation; Cramér-Rao bound; maximum likelihood; band-limited signals; dual source; GNSS multipath; GNSS remote sensing time-delay and Doppler estimation; Cramér-Rao bound; maximum likelihood; band-limited signals; dual source; GNSS multipath; GNSS remote sensing
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MDPI and ACS Style

Lubeigt, C.; Ortega, L.; Vilà-Valls, J.; Lestarquit, L.; Chaumette, E. Joint Delay-Doppler Estimation Performance in a Dual Source Context. Remote Sens. 2020, 12, 3894. https://doi.org/10.3390/rs12233894

AMA Style

Lubeigt C, Ortega L, Vilà-Valls J, Lestarquit L, Chaumette E. Joint Delay-Doppler Estimation Performance in a Dual Source Context. Remote Sensing. 2020; 12(23):3894. https://doi.org/10.3390/rs12233894

Chicago/Turabian Style

Lubeigt, Corentin, Lorenzo Ortega, Jordi Vilà-Valls, Laurent Lestarquit, and Eric Chaumette. 2020. "Joint Delay-Doppler Estimation Performance in a Dual Source Context" Remote Sensing 12, no. 23: 3894. https://doi.org/10.3390/rs12233894

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