Understanding the Limits of RF-Based Collaborative Localization

Giorgetti, Gianni; Gupta, Sandeep; Manes, G.

doi:10.1109/tnet.2011.2141681

Cited by 18 publications

(14 citation statements)

References 23 publications

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“…In particular, h(s i , s j ) is defined as the measurement function, which depends on the distance ∥s i − s j ∥ 2 (rangebased methods) [32], the angle ∠(s i , s j ) (direction-based methods) [33] or the connectivity c(s i , s j ) [27] of two nodes.…”

Section: Measurement Modelmentioning

confidence: 99%

“…The effect of reference node location errors was also analysed in [18], wherein the time and frequency difference of arrival measurements were utilized to perform the source localization. In [27], the performance limits of the RSS-based and the node connectivity-based localization were investigated to clarify which strategy should be employed, and to find out the optimal threshold for confirming the connectivity of two network nodes. There are other methods, such as the variational message passing [28], optimization methods [29], belief propagation [30], which can be employed to enable accurate localization in the presence of the reference node location errors.…”

Section: Introductionmentioning

confidence: 99%

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Variational Inference-Based Positioning with Nondeterministic Measurement Accuracies and Reference Location Errors

Zhou

Chen

Wymeersch

et al. 2017

IEEE Trans. on Mobile Comput.

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Abstract-Cooperative network localization plays an important role in wireless sensor network (WSN), wherein neighboring sensor nodes will help each other to calibrate their locations. However, due to the dynamic wireless propagation environment and different surroundings, the measurement accuracy at different network nodes is different and varies over time. In this paper, the uncertainties in both measurement accuracy and reference node locations are considered to account for the impact of different surrounding environments and the initial node location errors on the cooperative network localization. A mean-field variational inference-based positioning (VIP) algorithm is proposed for cooperative network localization. The mechanism of the proposed VIP algorithm, the convergence properties, implementation complexity, and the parallel implementation structure are presented to show that the VIP algorithm provides an effective mechanism to incorporate and share the localization information among all network nodes for an improved localization performance. Finally, a concise Cramer-Rao lower bound (CRLB) is derived to reveal the principle of localization error propagation. It is disclosed that the localization error propagation principle is similar to the Ohm's Law in circuit theory, which provides a new insight into the impact of the measurement accuracy, the reference node location errors and the number of reference nodes on the cooperative network localization performance.

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Section: Measurement Modelmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Variational Inference-Based Positioning with Nondeterministic Measurement Accuracies and Reference Location Errors

Zhou

Chen

Wymeersch

et al. 2017

IEEE Trans. on Mobile Comput.

View full text Add to dashboard Cite

show abstract

“…2 In particular, h(s i , s j ) is defined as the measurement function that depends on the distance ∥s i − s j ∥ 2 (for the range-based methods) [21], the angle ∠(s i , s j ) (for the direction-based methods) [16] or the connectivity C(s i , s j ) [27] of two nodes.…”

Section: B Measurement Modelmentioning

confidence: 99%

On the Spatial Error Propagation Characteristics of Cooperative Localization in Wireless Networks

Zhou

Chen

Xiao

et al. 2017

IEEE Trans. Veh. Technol.

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Abstract-Cooperative localization is an important technique in wireless networks. However, there are always errors in network node localization, which will spatially propagate among network nodes when performing network localization. In this paper, we study the spatial error propagation characteristics of network localization, in terms of Fisher information. Firstly, the spatial propagation function is proposed to reveal the spatial cooperation principle of network localization. Secondly, the convergence property of spatial localization information propagation is analyzed to shed light on the performance limits of network localization through spatial information propagation. It is shown that, (ı) the network localization error propagates in a way of the Ohm's law in electric circuit theory, where the measurement accuracy, node location accuracy and geometric-resolution information behave like the resistances connected in parallel or series; (ıı) the network location error gradually diminishes with spatial localization cooperation procedures, due to the cooperative localization information propagation; (ııı) the essence of spatial localization cooperation among network nodes is the spatial propagation of localization information.

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“…Timing Difference (TD) [10], Angle of Arrival (AoA) [10], Time of Arrival (ToA) [11], Received Signal Strength (RSS) [2], [10], and Radio Frequency (RF) power level [3]. The employment of such measurements is the cornerstone of location estimation upon which a WNE estimates its relative position (distance, angle) with respect to another target WNE of the same RAT [12].…”

Section: Introductionmentioning

confidence: 99%

“…Although such an approach can be subject to erroneous positioning measurements or increased uncertainty (due to the modeling assumptions), it also enables proximity estimation between nodes separated by a large geographical distance or supporting different RATs. Besides, current literature includes a plethora of practical techniques for employing fine-grained location estimation and mitigating prominent effects of the wireless medium [11], [12], [19], [23].…”

Section: Introductionmentioning

confidence: 99%

Distance Distributions and Proximity Estimation Given Knowledge of the Heterogeneous Network Layout

Xenakis

Merakos

Kountouris

et al. 2015

IEEE Trans. Wireless Commun.

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Today's heterogeneous wireless network (HWN) is a collection of ubiquitous wireless networking elements (WNEs) that support diverse functional capabilities and networking purposes. In such a heterogeneous networking environment, proximity estimation will play a key role for the seamless support of emerging applications that span from the direct exchange of localized traffic between homogeneous WNEs (peer-to-peer communications) to positioning for autonomous systems using location information from the ubiquitous HWN infrastructure. Since most of the existing wireless networking technologies enable the direct (or indirect) estimation of the distances and angles between their WNEs, the integration of such spatial information is a natural solution for robustly handling the unprecedented demand for proximity estimation between the myriads of WNEs. In this paper, we develop an analytical framework that integrates existing knowledge of the HWN layout to enable proximity estimation between WNE supporting different radio access technologies (RATs). In this direction, we derive closed-form expressions for the distance distribution between two tagged WNEs given partial (or full) knowledge of the HWN topology. The derived expressions enable us to analyze how different levels of location-awareness affect the performance of proximity estimation between WNEs that are not necessarily capable of communicating directly. Optimal strategies for the deployment of WNEs, as means of maximizing the probability of successful proximity estimation between two WNEs of interest, are presented, and useful guidelines for the design of locationaware proximity estimation in the nowadays HWN are drawn.

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Understanding the Limits of RF-Based Collaborative Localization

Cited by 18 publications

References 23 publications

Variational Inference-Based Positioning with Nondeterministic Measurement Accuracies and Reference Location Errors

Variational Inference-Based Positioning with Nondeterministic Measurement Accuracies and Reference Location Errors

On the Spatial Error Propagation Characteristics of Cooperative Localization in Wireless Networks

Distance Distributions and Proximity Estimation Given Knowledge of the Heterogeneous Network Layout

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