A geometrical closed form solution for RSS based far-field localization: Direction of Exponent Uncertainty

Uluskan, Seçkin; Filik, Tansu

doi:10.1007/s11276-017-1553-7

Cited by 8 publications

(7 citation statements)

References 27 publications

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“…( 6) of radio wave propagation was used to derive the localization equation. Formula ( 6) is rewritten into formula (7) of radio wave propagation loss expressed in dB.…”

Section: Rssd Localization Equationmentioning

confidence: 99%

“…In Eqs. ( 6) and (7), A(ht, hr, f) is the constant determined by the transmitting antenna, the receiving antenna and the working frequency. ht and hr are the height of the transmitting antenna and the receiving antenna relative to the ground, respectively, in meters (m), and γ is the path loss index of the radio wave propagation.…”

Section: Rssd Localization Equationmentioning

confidence: 99%

“…These methods belong to passive localization methods, because the localization equipment used does not transmit radio signals. According to different measurement parameters, the distance relation localization methods are divided into the time of arrival (TOA) method and the time difference of arrival (TDOA) method for measuring time, the received signal strength (RSS) [2][3][4][5][6][7] method and the received signal strength difference (RSSD) [8][9][10][11] method for measuring signal strength method. The RSS localization method, also known as power of arrival (POA), uses multiple radio receiving stations located in different locations to receive signals from a certain transmitting source at the same time, and calculates the location of the transmitting source by measuring the signal strength.…”

Section: Introductionmentioning

confidence: 99%

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Research on the Minimum Size of Received Signal Strength Difference Localization Network

2021

Int J Comput Intell Syst

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The received signal strength difference (RSSD) localization is a kind of method to locate emission sources by measuring the differences of received signal strength level between the monitoring stations and is essentially the truth value ratios of measured signal strength. In the existing literatures, only the rule of RSSD localization circle of two monitoring stations and the geometric relation of RSSD localization circle of five monitoring stations were analyzed, but the number and the station layout of the minimum RSSD localization network have not been investigated. In the present work, first, based on the existing RSSD localization equation, the constants of the commonly used wave propagation models are provided. Then, the minimum RSSD localization network is proved through algebraic analysis, which is that four monitoring stations not distributed on a straight line can locate the signal source at one point. The relationship between the localization accuracy and the signal strength error of the RSSD location network with different scales is studied further and formulated as a nonlinear programming optimization problem. It is found that the localization stability of the network with four stations is poor, and there is a serious localization deviation outlier phenomenon. Therefore, the network with four stations is not available for radio monitoring networks with a signal strength error of ± 5 to ± 10 dB. The RSSD network with five stations is basically the minimum available size, and the RSSD network with nine stations can approach the localization accuracy of the angle of arrival (AOA) network with three stations.

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“…( 6) of radio wave propagation was used to derive the localization equation. Formula ( 6) is rewritten into formula (7) of radio wave propagation loss expressed in dB.…”

Section: Rssd Localization Equationmentioning

confidence: 99%

Section: Rssd Localization Equationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Research on the Minimum Size of Received Signal Strength Difference Localization Network

2021

Int J Comput Intell Syst

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“…In the passive radio localization methods based on the signal transmit from the localization target, the distance-relation localization methods take the arrival distance of the signal as the localization parameter. According to different measurement parameters, the distance relation localization methods are divided into the time *Corresponding Author E-Mail: pengxup@home.swjtu.edu.cn of arrival(TOA) method and the time difference of arrival(TDOA) method for measuring time, the received signal strength(RSS) method [1][2][3][4] and the received signal strength difference (RSSD) method [5][6][7][8] for measuring signal strength method. The RSSD localization method, also known as the strength difference of arrival (SDOA) localization method, which does not need to know the equivalent transmitting power of the signal source in advance, nor does it need to measure the absolute signal strength received by each station, only needs to measure the difference of received signal strength between stations, is a universal approach.…”

Section: Introductionmentioning

confidence: 99%

“…In Cartesian coordinates, the nonlinear least squares model of RSSD localization was built, and its solution method was studied [5]. A new geometrical closed-form solution called Direction of Exponent Uncertainty is proposed for RSSD localization was studied [6]. A robust two stage estimator of the optimization problem on account of RSSD is proposed in the presence of Gaussian mixture measurement noise based on the Huber's minimax model [7].…”

Section: Introductionmentioning

confidence: 99%

Longitude and Latitude Based Received Signal Strength Difference Localization Models

2021

Preprint

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In order to use the latitude and longitude coordinates for received signal strength difference (RSSD) localization, the errors of several spherical distance calculation methods and the error of arc length relative to string length were compared. The distance-calculation RSSD localization equations were established, including spherical accurate calculation RSSD, spherical approximate calculation RSSD, and normal cylindrical projection RSSD. And then, the optimization RSSD localization models based on geodetic coordinates and corresponding to the above equations were established, and the models were verified using the point by point search method with good convergence. The numerical results show there are a lot of weak localization areas for the RSSD localization networks lack of central stations with 4,5,6 stations. Among networks with central stations, there are only a small number of weak-localization areas for the concave 4 stations network, while there are no weak-localization areas for the networks composed of more stations. When the measurement errors and the additional losses of radio wave propagation are not considered, the localization errors of the spherical accurate model, the spherical approximate model and the equianglular projection model are very small, among which the second model has the shortest localization time. The localization errors of equidistance projection model and equal-area projection model are large, neither of which is suitable for the middle latitude and high latitude areas.

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Optimal sensor placement for source localization based on RSSD

2020

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A geometrical closed form solution for RSS based far-field localization: Direction of Exponent Uncertainty

Cited by 8 publications

References 27 publications

Research on the Minimum Size of Received Signal Strength Difference Localization Network

Research on the Minimum Size of Received Signal Strength Difference Localization Network

Longitude and Latitude Based Received Signal Strength Difference Localization Models

Optimal sensor placement for source localization based on RSSD

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