Semidefinite Programming Solutions for Elliptic Localization in Asynchronous Radar Networks

Wu, Xiaoping; Shen, Yana; Zhu, Xuefeng; Lin, Qinman

doi:10.1109/taes.2022.3149855

Cited by 12 publications

(4 citation statements)

References 39 publications

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“…such that it becomes a linear matrix inequality and satisfies the constraint of an SDP [10] . Besides, j q in (7) has the following form…”

Section: Sdp Methodsmentioning

confidence: 99%

Angle of arrival localization in wireless sensor networks with inaccurate anchor positions

Wang¹,

Hu²,

Li³

2023

Third International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022)

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Angle of arrival based localization has been widely applied in wireless sensor network due to its easy access of measurements and simple system structure. In previous work, the positions of anchor nodes are generally assumed precisely known, which is an important condition in addition to the angle of arrival measurements. However, in practice, anchor positions are obtained by Global Positioning System or other localization methods, which inevitably suffer from errors. These errors, leading to inaccurate anchor positions, have heavy impact on the localization result. Although there are a few studies on the errors of anchor position in wireless localization, they mainly focus on range based measurements. In this paper, we study angle of arrival based localization with inaccurate anchor positions. Stemming from the maximum likelihood estimation, a novel semidefinite programming method is proposed by using tight approximation and proper relaxation. Numerical examples demonstrate that the proposed method provides much better performance in terms of localization accuracy, compared to some existing methods.

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“…such that it becomes a linear matrix inequality and satisfies the constraint of an SDP [10] . Besides, j q in (7) has the following form…”

Section: Sdp Methodsmentioning

confidence: 99%

Angle of arrival localization in wireless sensor networks with inaccurate anchor positions

Wang¹,

Hu²,

Li³

2023

Third International Conference on Artificial Intelligence and Computer Engineering (ICAICE 2022)

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“…5 Multiple ellipticals are generated by the multiple space-separated receivers and transmitters sensors. 6 A phase measurement is defined as an ambiguity in distance between the transmitter and receiver, which is measured in either half wavelength (or) multiples of the wavelength. The phase measurements of the elliptic direction of arrival are exploited by the pair of ellipses for the localization of the object.…”

Section: Introductionmentioning

confidence: 99%

“…The indirect methods, such as joint time delay (JTD), bistatic range (BR), and angle of arrival (AOA) 5 . Multiple ellipticals are generated by the multiple space‐separated receivers and transmitters sensors 6 . A phase measurement is defined as an ambiguity in distance between the transmitter and receiver, which is measured in either half wavelength (or) multiples of the wavelength.…”

Section: Introductionmentioning

confidence: 99%

Vortex‐induced vibration effects in underwater acoustic wireless sensor networks

Reddy,

Arya

2023

Trans Emerging Tel Tech

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A randomly fluctuated vortex‐induced vibration (VIV) affects the localization of moving targets in an underwater acoustic wireless sensor network (UAWSN) to cause an offset time and time synchronization error which disturbs the localization of the non‐cooperative moving target. Definition 1, Theorem 1 has been introduced in the present work to describe the genesis and consequences of the VIV effect in UAWSN. An elliptic localization introduces the direct and indirect path measurements of the moving target. The standard Crammer Rao lower bound parameter quantifies the VIV effect. The compensation of vortex‐induced vibrations (CVV) algorithm is proposed to quantify the degradation of localization performance and to estimate the position of the moving target. The theoretical measurements of position error, velocity error with respect to the variation of noise, number of receiver sensors, and probability of line of sight errors are compared to the standard methods. The proposed CVV algorithm improves the localization performance by 32.24% and reduces 34.36% of position errors, and 37.46% of velocity errors up to 600 m. It can be useful for the sub‐aquatic internet of underwater things.

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“…Using the measurements of the indirect and direct paths, a two-step weighted least squares (TSWLS) method was proposed for jointly estimating the target and transmitter positions. However, since the constrained relationships among those variables are difficult to directly and completely utilize, the TSWLS method has the threshold effect [ 28 , 29 , 30 ]. Zheng et al [ 19 ] presented a semidefinite program (SDP) method to tackle the same problem, in which the semidefinite relaxation (SDR) technique is applied to convert this non-convex problem to a convex SDP problem.…”

Section: Introductionmentioning

confidence: 99%

Majorization-Minimization Method for Elliptic Localization in the Absence of Transmitter Position

Zou

2022

Sensors

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This paper investigates the problem of elliptic localization in the absence of transmitter position. An efficient iterative method is developed to jointly evaluate the target and transmitter positions. Using the measurement information from the indirect paths reflected from the target and the direct paths between the transmitter and receivers, a non-convex maximum likelihood estimation (MLE) problem is formulated. Owing to the non-convex nature of the issue, we apply the majorization–minimization (MM) principle to address the MLE problem, which iteratively minimizes a convex surrogate function instead of the original objective function. Moreover, the proposed MM method is further extended to tackle a general scenario where both multiple unknown transmitters and receiver position errors are considered. Finally, numerical simulations demonstrate that the proposed MM method outperforms the state-of-the-art methods.

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Semidefinite Programming Solutions for Elliptic Localization in Asynchronous Radar Networks

Cited by 12 publications

References 39 publications

Angle of arrival localization in wireless sensor networks with inaccurate anchor positions

Angle of arrival localization in wireless sensor networks with inaccurate anchor positions

Vortex‐induced vibration effects in underwater acoustic wireless sensor networks

Majorization-Minimization Method for Elliptic Localization in the Absence of Transmitter Position

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