CramÉr-Rao Bound Analysis of Positioning Approaches in GNSS Receivers

Recently, direct position estimation (DPE) has arisen as a potential approach to deal with the positioning problem in global navigation satellite system receivers. The conventional navigation solution is obtained in two steps: synchronization parameters are estimated and then a trilateration procedu...

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Bibliographic Details
Published in:IEEE transactions on signal processing 2009-10, Vol.57 (10), p.3775-3786
Main Authors: Closas, P., Fernandez-Prades, C., Fernandez-Rubio, J.A.
Format: Article
Language:English
Subjects:
Applied sciences
CramÉr-Rao bound (CRB)
Detection, estimation, filtering, equalization, prediction
Economic models
Exact sciences and technology
Global Positioning System
Information, signal and communications theory
Maximum likelihood estimation
Miscellaneous
Multipath channels
Parameter estimation
Position measurement
Receivers
Satellite broadcasting
Satellite navigation systems
Signal and communications theory
Signal processing
Signal, noise
Studies
Telecommunications
Telecommunications and information theory
Testing
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Summary:Recently, direct position estimation (DPE) has arisen as a potential approach to deal with the positioning problem in global navigation satellite system receivers. The conventional navigation solution is obtained in two steps: synchronization parameters are estimated and then a trilateration procedure is in charge of computing user's position, based on those parameters. In contrast, DPE estimates receiver's position directly from digitized signal. DPE was seen to provide GNSS receivers with appealing capabilities, such as multipath mitigation. However, a theoretical bound for those estimates is still missing and the answer to ldquohow better can DPE perform compared to the conventional approach?rdquo has not been addressed in the literature. Aiming at clarifying those issues, this paper presents the derivation of the CramEacuter-Rao bound (CRB) of position for both conventional and DPE approaches. We present the derivation for a multiantenna receiver as a general case. In addition, a number of realistic scenarios are tested in order to compare the theoretical performance bounds of both alternatives and the actual root mean squared error performance of the corresponding maximum likelihood estimator.
ISSN:1053-587X
1941-0476
DOI:10.1109/TSP.2009.2025083