Localization of near-field sources based on linear prediction and oblique projection operator

Weiliang Zuo, Jingmin Xin, Wenyi Liu, Nanning Zheng, Hiromitsu Ohmori, Akira Sano

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This paper investigates the localization of multiple near-field narrowband sources with a symmetric uniform linear array, and a new linear prediction approach based on the truncated singular value decomposition (LPATS) is proposed by taking an advantage of the anti-diagonal elements of the noiseless array covariance matrix. However, when the number of array snapshots is not sufficiently large enough, the 'saturation behavior' is usually encountered in most of the existing localization methods for the near-field sources, where the estimation errors of the estimated directions-of-arrival (DOAs) and ranges cannot decrease with the signal-to-noise ratio. In this paper, an oblique projection based alternating iterative scheme is presented to improve the accuracy of the estimated location parameters. Furthermore, the statistical analysis of the proposed LPATS is studied, and the asymptotic mean-square-error expressions of the estimation errors are derived for the DOAs and ranges. The effectiveness and the theoretical analysis of the proposed LPATS are verified through numerical examples, and the simulation results show that the LPATS provides good estimation performance for both the DOAs and ranges compared to some existing methods.

Original languageEnglish
Article number8552461
Pages (from-to)415-430
Number of pages16
JournalIEEE Transactions on Signal Processing
Volume67
Issue number2
DOIs
Publication statusPublished - 2019 Jan 15

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Direction of arrival
Mathematical operators
Error analysis
Singular value decomposition
Covariance matrix
Mean square error
Signal to noise ratio
Statistical methods

Keywords

  • Linear prediction
  • near-field
  • oblique projection
  • source localization
  • uniform linear array

ASJC Scopus subject areas

  • Signal Processing
  • Electrical and Electronic Engineering

Cite this

Localization of near-field sources based on linear prediction and oblique projection operator. / Zuo, Weiliang; Xin, Jingmin; Liu, Wenyi; Zheng, Nanning; Ohmori, Hiromitsu; Sano, Akira.

In: IEEE Transactions on Signal Processing, Vol. 67, No. 2, 8552461, 15.01.2019, p. 415-430.

Research output: Contribution to journalArticle

Zuo, Weiliang ; Xin, Jingmin ; Liu, Wenyi ; Zheng, Nanning ; Ohmori, Hiromitsu ; Sano, Akira. / Localization of near-field sources based on linear prediction and oblique projection operator. In: IEEE Transactions on Signal Processing. 2019 ; Vol. 67, No. 2. pp. 415-430.
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