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

Content Provider	IET Digital Library
Author	Medina, Daniel Ortega, Lorenzo Valls, Jordi Vilà Closas, Pau Vincent, Francois Chaumette, Eric
Abstract	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.
Starting Page	1537
Ending Page	1549
Page Count	13
ISSN	17518784
Volume Number	14
e-ISSN	17518792
Issue Number	Issue 10, Oct (2020)
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/iet-rsn/14/10
Alternate Webpage(s)	https://digital-library.theiet.org/content/journals/10.1049/iet-rsn.2020.0168
Journal	IET Radar, Sonar & Navigation
Publisher Date	2020-06-08
Access Restriction	Open
Rights Holder	© The Institution of Engineering and Technology
Subject Keyword	Band-limited Narrowband Signal Compact Cramér–Rao Compact CRB Conditional Signal Model CRB Expression Deterministic Parameter Doppler Global Positioning System GNSS SPP Maximum Likelihood Estimation Maximum-likelihood Estimation Particular Baseband Signal Phase Estimation Phase Estimation – Application Positive Amplitude Radio Navigation And Direction Finding Real-time Kinematics Solution Resulting CRB Satellite Navigation Satellite-based Navigation System Signal Phase Signal Processing And Detection Signal Sample Signal Sampling Statistics Tight Estimation Lower Bounds
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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