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Compact CRB for delay, Doppler, and phase estimation – application to GNSS SPP and RTK performance characterisation

Medina, Daniel and Ortega, Lorenzo and Vilà-Valls, Jordi and Closas, Pau and Vincent, François and Chaumette, Eric Compact CRB for delay, Doppler, and phase estimation – application to GNSS SPP and RTK performance characterisation. (2020) IET Radar, Sonar & Navigation, 14 (10). 1537-1549. ISSN 1751-8784

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Official URL: https://doi.org/10.1049/iet-rsn.2020.0168


The derivation of tight estimation lower bounds is a key tool to design and assess the performance of new estimators. In this contribution, first, the authors derive a new compact Cramér–Rao bound (CRB) for the conditional signal model, where the deterministic parameter's vector includes a real positive amplitude and the signal phase. Then, the resulting CRB is particularised to the delay, Doppler, phase, and amplitude estimation for band-limited narrowband signals, which are found in a plethora of applications, making such CRB a key tool of broad interest. This new CRB expression is particularly easy to evaluate because it only depends on the signal samples, then being straightforward to evaluate independently of the particular baseband signal considered. They exploit this CRB to properly characterise the achievable performance of satellite-based navigation systems and the so-called real-time kinematics (RTK) solution. To the best of the authors’ knowledge, this is the first time these techniques are theoretically characterised from the baseband delay/phase estimation processing to position computation, in terms of the CRB and maximum-likelihood estimation.

Item Type:Article
HAL Id:hal-02974914
Audience (journal):International peer-reviewed journal
Uncontrolled Keywords:
Institution:Université de Toulouse > Institut Supérieur de l'Aéronautique et de l'Espace - ISAE-SUPAERO (FRANCE)
Other partners > German Aerospace Center - DLR (GERMANY)
Other partners > DLR Institute of Communications and Navigation (GERMANY)
Other partners > Northeastern University (USA)
Laboratory name:
Deposited On:22 Oct 2020 09:03

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