2017
DOI: 10.1109/tsp.2017.2701311
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A Geometrical–Statistical Approach to Outlier Removal for TDOA Measurements

Abstract: The curse of outlier measurements in estimation problems is a well known issue in a variety of fields. Therefore, outlier removal procedures, which enables the identification of spurious measurements within a set, have been developed for many different scenarios and applications. In this paper, we propose a statistically motivated outlier removal algorithm for time differences of arrival (TDOAs), or equivalently range differences (RD), acquired at sensor arrays. The method exploits the TDOA-space formalism and… Show more

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Cited by 53 publications
(30 citation statements)
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“…According to the classical literature review on this topic, these approaches can be broadly divided into three categories [ 26 , 27 ]: time delay based, beamforming based, and high-resolution spectral estimation based methods. This taxonomy relies on the fact that ASL has traditionally been considered a signal processing problem based on the definition of a signal propagation model [ 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 ], but, more recently, the range of proposals in the literature has also considered strategies based on exploiting the optimization techniques and mathematical properties of related measurements [ 35 , 36 , 37 , 38 , 39 ], and also the use of machine learning strategies [ 40 , 41 , 42 ], aimed at obtaining direct mapping from specific features to source locations [ 43 ], an area in which deep learning approaches are starting to be applied and that will be further described later in this section.…”
Section: State Of the Artmentioning
confidence: 99%
“…According to the classical literature review on this topic, these approaches can be broadly divided into three categories [ 26 , 27 ]: time delay based, beamforming based, and high-resolution spectral estimation based methods. This taxonomy relies on the fact that ASL has traditionally been considered a signal processing problem based on the definition of a signal propagation model [ 26 , 27 , 28 , 29 , 30 , 31 , 32 , 33 , 34 ], but, more recently, the range of proposals in the literature has also considered strategies based on exploiting the optimization techniques and mathematical properties of related measurements [ 35 , 36 , 37 , 38 , 39 ], and also the use of machine learning strategies [ 40 , 41 , 42 ], aimed at obtaining direct mapping from specific features to source locations [ 43 ], an area in which deep learning approaches are starting to be applied and that will be further described later in this section.…”
Section: State Of the Artmentioning
confidence: 99%
“…According to the classical literature review in this topic, these approaches can be broadly divided in three categories [11,12]: time delay based, beamforming based, and high-resolution spectral-estimation based methods. This taxonomy relies in the fact that ASL has been traditionally considered a signal processing problem based on the definition of a signal propagation model [11][12][13][14][15][16][17][18][19], but, more recently, the range of proposals in the literature also considered strategies based on exploiting optimization techniques and mathematical properties of related measurements [20][21][22][23][24], and also using machine learning strategies [25][26][27], aimed at obtaining a direct mapping from specific features to source locations [28], area in which deep learning approaches are starting to be applied and that will be further described later in this section.…”
Section: State Of the Artmentioning
confidence: 99%
“…, , observed by each array with additive noise 푖 , which is a realization of zero-mean white noise drawn from a normal distribution with standard deviation 휃 . Note that, in this case, the measurements are by definition free of outliers, since the deviation from the nominal DOA values is only due to the additive error model [22]. In order to enforce the statistical validity of the analysis of the cost function, we took care of two aspects.…”
Section: Test 1: Robustness Against Additive Noise On Doasmentioning
confidence: 99%