Closed-form solution for positioning based on angle of arrival measurements

Pagès-Zamora, Alba; Vidal, Josep; Brooks, Dana H.

doi:10.1109/pimrc.2002.1045433

Cited by 96 publications

(61 citation statements)

References 2 publications

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“…We consider correlated AOA measurements and the MSE performance versus σ 2 is plotted in Figure 2. We observe that the proposed SDR method is superior to [12] It is seen that the algorithm in [12] perform slightly better but both algorithms cannot attain the CRLB.…”

Section: Draft V Simulation Resultsmentioning

confidence: 84%

“…Comparisons with Cramér-Rao lower bound (CRLB) and [12] which is a linear least squares method, are also made. We consider correlated AOA measurements and the MSE performance versus σ 2 is plotted in Figure 2.…”

Section: Draft V Simulation Resultsmentioning

confidence: 99%

“…Generally speaking, the former has superior estimation performance but there is no guarantee of obtaining the global solution because the corresponding cost functions are multi-modal. While the latter is computationally simple, its accuracy is often degraded by the linearization process especially under large noise conditions [11]- [12]. Convex optimization, particularly the semi-definite relaxation (SDR) method [13]- [15], is a more recent positioning approach which strikes a balance between nonlinear and linear methods, namely, high accuracy and global convergence.…”

Section: Introductionmentioning

confidence: 99%

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A flexible semi-definite programming approach for source localization problems

Chan

et al. 2013

Digital Signal Processing

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In this paper, a new semi-definite programming approach is devised for approximating nonlinear estimation problems. The main idea is to include the noise components as parameters of interests, which increases the flexibility in the convex optimization formulation. Using the source localization as an illustration, we develop semi-definite relaxation (SDR) positioning algorithms using angle-of-arrival, time-of-arrival and time-difference-of-arrival measurements. Numerical examples are included to show the effectiveness of the proposed SDR approach.

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Section: Draft V Simulation Resultsmentioning

confidence: 84%

Section: Draft V Simulation Resultsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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A flexible semi-definite programming approach for source localization problems

Chan

et al. 2013

Digital Signal Processing

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“…This line is called line of bearing (LOB), and the point at which the LOB from two or more nodes cross indicates the position of the source. In [5], a closed-form least-squares (LS) solution for the positioning of a source using AOA measurements is proposed. In [6], a similar method is used to locate the nodes in a network with the AOA measurements taken by several anchor nodes.…”

Section: Introduction Wmentioning

confidence: 99%

Distributed AOA-based source positioning in NLOS with sensor networks

Giménez-Febrer

Pagès-Zamora

Pereira

et al. 2015

2015 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP)

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Abstract-This paper focuses on the problem of positioning a source using angle-of-arrival measurements taken by a wireless sensor network in which some of the nodes experience non lineof-sight (LOS) propagation conditions. In order to mitigate the errors induced by the nodes in NLOS, we derive an algorithm that combines the expectation-maximization algorithm with a weighted least-squares estimation of the source position so that the nodes in NLOS are eventually identified and discarded. Moreover, a distributed version of this algorithm based on a diffusion strategy that iteratively refines the position estimate while driving the network to a consensus is presented.

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“…Various accepted distance estimation methods in use are time of arrival (TOA) [4], time difference of arrival (TDOA) [5], angle of arrival (AOA) [6], and received signal strength indicator (RSSI) [14].…”

Section: Introductionmentioning

confidence: 99%

VHDL Implementation of Robust WI-FI Positioning System

Duggani¹,

Naik²,

Rayar³

2015

IJCA

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Design of a cost effective and accurate positioning of a wireless device is one of the challenging issues in Wireless Local Area Networks (WLANs). In this paper we present a novel positioning system by utilizing WLAN received signal strength measurements. The technique includes two parts; First, distance estimation using received signal strength indication (RSSI) using polynomial fitting method. Second, simplified and accurate geometric location algorithm (GLA) is proposed. The proposed technique is less complex and easy to implement. The technique not requires any extra hardware and offline training.This location algorithm is designed and tested in MATLAB tool and described using Very high speed integrated circuit Hardware Description Language (VHDL), synthesized in XILINX ISE 10.1 and simulated in ISE simulator. Novelty of the HDL description is that, IEEE754 floating point representation is used, which increases the accuracy.

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Closed-form solution for positioning based on angle of arrival measurements

Cited by 96 publications

References 2 publications

A flexible semi-definite programming approach for source localization problems

A flexible semi-definite programming approach for source localization problems

Distributed AOA-based source positioning in NLOS with sensor networks

VHDL Implementation of Robust WI-FI Positioning System

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