Sparse Reconstruction Based Robust Near-Field Source Localization Algorithm

Non-Gaussian impulsive noise widely exists in the real world, this paper takes the α-stable distribution as the mathematical model of non-Gaussian impulsive noise and works on the joint direction-of-arrival (DOA) and range estimation problem of near-field signals in impulsive noise environment. Sinc...

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Main Authors: Sen Li, Bing Li, Bin Lin, Xiaofang Tang, Rongxi He
Format: Article
Language:English
Published: MDPI AG 2018-04-01
Series:Sensors
Subjects:
Online Access:http://www.mdpi.com/1424-8220/18/4/1066
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author Sen Li
Bing Li
Bin Lin
Xiaofang Tang
Rongxi He
author_facet Sen Li
Bing Li
Bin Lin
Xiaofang Tang
Rongxi He
author_sort Sen Li
collection DOAJ
description Non-Gaussian impulsive noise widely exists in the real world, this paper takes the α-stable distribution as the mathematical model of non-Gaussian impulsive noise and works on the joint direction-of-arrival (DOA) and range estimation problem of near-field signals in impulsive noise environment. Since the conventional algorithms based on the classical second order correlation statistics degenerate severely in the impulsive noise environment, this paper adopts two robust correlations, the fractional lower order correlation (FLOC) and the nonlinear transform correlation (NTC), and presents two related near-field localization algorithms. In our proposed algorithms, by exploring the symmetrical characteristic of the array, we construct the robust far-field approximate correlation vector in relation with the DOA only, which allows for bearing estimation based on the sparse reconstruction. With the estimated bearing, the range can consequently be obtained by the sparse reconstruction of the output of a virtual array. The proposed algorithms have the merits of good noise suppression ability, and their effectiveness is demonstrated by the computer simulation results.
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spelling doaj.art-d68ffcea50d144d9bcfd1a081e7ade312022-12-22T04:27:25ZengMDPI AGSensors1424-82202018-04-01184106610.3390/s18041066s18041066Sparse Reconstruction Based Robust Near-Field Source Localization AlgorithmSen Li0Bing Li1Bin Lin2Xiaofang Tang3Rongxi He4College of Information and Science Technology, Dalian Maritime University, Dalian 116026, ChinaCollege of Information and Science Technology, Dalian Maritime University, Dalian 116026, ChinaCollege of Information and Science Technology, Dalian Maritime University, Dalian 116026, ChinaCollege of Information and Science Technology, Dalian Maritime University, Dalian 116026, ChinaCollege of Information and Science Technology, Dalian Maritime University, Dalian 116026, ChinaNon-Gaussian impulsive noise widely exists in the real world, this paper takes the α-stable distribution as the mathematical model of non-Gaussian impulsive noise and works on the joint direction-of-arrival (DOA) and range estimation problem of near-field signals in impulsive noise environment. Since the conventional algorithms based on the classical second order correlation statistics degenerate severely in the impulsive noise environment, this paper adopts two robust correlations, the fractional lower order correlation (FLOC) and the nonlinear transform correlation (NTC), and presents two related near-field localization algorithms. In our proposed algorithms, by exploring the symmetrical characteristic of the array, we construct the robust far-field approximate correlation vector in relation with the DOA only, which allows for bearing estimation based on the sparse reconstruction. With the estimated bearing, the range can consequently be obtained by the sparse reconstruction of the output of a virtual array. The proposed algorithms have the merits of good noise suppression ability, and their effectiveness is demonstrated by the computer simulation results.http://www.mdpi.com/1424-8220/18/4/1066near-fileddirection of arrivalrange estimationimpulsive noisesparse reconstructionrobust correlation
spellingShingle Sen Li
Bing Li
Bin Lin
Xiaofang Tang
Rongxi He
Sparse Reconstruction Based Robust Near-Field Source Localization Algorithm
Sensors
near-filed
direction of arrival
range estimation
impulsive noise
sparse reconstruction
robust correlation
title Sparse Reconstruction Based Robust Near-Field Source Localization Algorithm
title_full Sparse Reconstruction Based Robust Near-Field Source Localization Algorithm
title_fullStr Sparse Reconstruction Based Robust Near-Field Source Localization Algorithm
title_full_unstemmed Sparse Reconstruction Based Robust Near-Field Source Localization Algorithm
title_short Sparse Reconstruction Based Robust Near-Field Source Localization Algorithm
title_sort sparse reconstruction based robust near field source localization algorithm
topic near-filed
direction of arrival
range estimation
impulsive noise
sparse reconstruction
robust correlation
url http://www.mdpi.com/1424-8220/18/4/1066
work_keys_str_mv AT senli sparsereconstructionbasedrobustnearfieldsourcelocalizationalgorithm
AT bingli sparsereconstructionbasedrobustnearfieldsourcelocalizationalgorithm
AT binlin sparsereconstructionbasedrobustnearfieldsourcelocalizationalgorithm
AT xiaofangtang sparsereconstructionbasedrobustnearfieldsourcelocalizationalgorithm
AT rongxihe sparsereconstructionbasedrobustnearfieldsourcelocalizationalgorithm