GNSS Vertical Dilution of Precision Reduction using Terrestrial Signals of Opportunity

Morales, Joshua J.; Khalife, Joe; Kassas, Zaher M.

doi:10.33012/2016.13463

Cited by 18 publications

(7 citation statements)

References 8 publications

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“…As seen from (17, line 2), the VDOP value will be equal to VDOP'. This situation can be achieved with the addition of terrestrial transmitters such as pseudolites or signals of opportunity located below the user's horizon, see for example Morales et al (2016), Montillet et al (2014) and Meng et al (2004). In this continuation, let us imagine a transparent earth to the GPS signals.…”

Section: Horizontally Symmetrical (Hs) Satellite Sky Distributionmentioning

confidence: 99%

Geometry of GPS dilution of precision: revisited

2017

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We revisit the geometric interpretation of GPS Dilution of Precision (DOP) factors giving emphasis on the geometric impact of the receiver clock parameter on conventional GPS positioning solution. The comparison is made between the solutions with and without an estimated receiver clock parameter, i.e., conventional GPS vs pure trilateration solution. The generalized form of the DOP factors is also presented for observation redundancy greater than zero. The DOP factor equations are established as functions of triangle surfaces and tetrahedron volumes formed by the receiver-satellite unit vectors or by these vectors between themselves. To facilitate the comparison of the solutions with and without a receiver clock parameter, the average of receiver-satellite unit vectors is introduced to interpret the DOP factors geometrically. The geometry of satellite outage is also revisited from a geometric point of view. Finally, the geometric interpretation of receiver clock constrains within a positioning solution is also investigated.

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Section: Horizontally Symmetrical (Hs) Satellite Sky Distributionmentioning

confidence: 99%

Geometry of GPS dilution of precision: revisited

2017

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“…Cellular signals can be exploited for localization either to produce a navigation solution in a standalone fashion or to aid the INS in the absence of GNSS signals . Moreover, it has been demonstrated that fusing cellular signals with GNSS signals, when available, significantly improves the positioning accuracy …”

Section: Introductionmentioning

confidence: 99%

LTE receiver design and multipath analysis for navigation in urban environments

2018

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Mitigating multipath of cellular long‐term evolution (LTE) signals for robust positioning in urban environments is considered. A computationally efficient receiver, which uses a phase‐locked loop (PLL)–aided delay‐locked loop (DLL) to track the received LTE signals, is presented. The PLL‐aided DLL uses orthogonal frequency division multiplexing (OFDM)–based discriminator functions to estimate and track the time‐of‐arrival. The code phase and carrier phase performances in an additive white Gaussian noise (AWGN) channel are evaluated numerically. The effects of multipath on the code phase and carrier phase are analyzed, demonstrating robust multipath mitigation for high transmission LTE bandwidths. The average of the DLL discriminator functions over multiple LTE symbols is presented to reduce the pseudorange error. The proposed receiver is evaluated on a ground vehicle in an urban environment. Experimental results show a root mean square error (RMSE) of 3.17 m, a standard deviation of 1.06 m, and a maximum error of 6.58 m between the proposed LTE receiver and the GPS navigation solution over a 1.44 km trajectory. The accuracy of the obtained pseudoranges with the proposed receiver is compared against two algorithms: estimation of signal parameters by rotational invariance techniques (ESPRIT) and EKAT (ESPRIT and Kalman filter).

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“…SOPs are abundant, powerful, and available at various frequencies and geometric configurations, making them an attractive stand-alone navigation system whenever GNSS signals become inaccessible or untrustworthy. Even when GNSS signals are available, SOP observables can be coupled with GNSS observables to significantly improve the accuracy of the navigation solution [20].…”

Section: Introductionmentioning

confidence: 99%

Optimal Collaborative Mapping of Terrestrial Transmitters: Receiver Placement and Performance Characterization

Morales

Kassas

2018

IEEE Trans. Aerosp. Electron. Syst.

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Mapping multiple unknown terrestrial signals of opportunity (SOP) transmitters via multiple collaborating receivers is considered. The receivers are assumed to have knowledge about their own states, make pseudorange observations on multiple unknown SOPs, and fuse these pseudoranges through a central estimator. Two problems are considered. The first problem assumes multiple receivers with random initial states to pre-exist in the environment. The question of where to optimally place an additional receiver so to maximize the quality of the estimate of the SOPs' states is addressed. A novel, computationally efficient optimization criterion that is based on area-maximization is proposed. It is shown that the proposed optimization criterion yields a convex program, the solution of which is comparable to two classical criteria: minimization of the geometric dilution of precision (GDOP) and maximization of the determinant of the inverse of the GDOP matrix. The second problem addresses the optimal mapping performance as a function of time and number of receivers in the environment. It is demonstrated that such optimal performance assessment could be generated off-line without knowledge of the receivers' trajectories or the receivers' estimates of the SOP. Experimental results are presented demonstrating collaborative mapping of an unknown terrestrial SOP emanating from a cellular tower for various receiver trajectories versus the optimal mapping performance.

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GNSS Vertical Dilution of Precision Reduction using Terrestrial Signals of Opportunity

Cited by 18 publications

References 8 publications

Geometry of GPS dilution of precision: revisited

Geometry of GPS dilution of precision: revisited

LTE receiver design and multipath analysis for navigation in urban environments

Optimal Collaborative Mapping of Terrestrial Transmitters: Receiver Placement and Performance Characterization

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