Toeplitz Matrix Reconstruction of Interpolated Coprime Virtual Array for DOA Estimation

Xing Fan; Chengwei Zhou; Yujie Gu; Zhiguo Shi

doi:10.1109/vtcspring.2017.8108559

Toeplitz Matrix Reconstruction of Interpolated Coprime Virtual Array for DOA Estimation

Xing Fan, Chengwei Zhou, Yujie Gu, Zhiguo Shi

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

39 Scopus citations

Abstract

A coprime array enables an increased number of degrees-of-freedom by deriving a non-uniform virtual array. However, existing work such as spatial smoothing fails to utilize all of the information provided by the coprime array, which results in performance loss. In this paper, we propose a novel coprime virtual array interpolation-based direction- of-arrival (DOA) estimation algorithm by Toeplitz matrix reconstruction. After investigating the challenges caused by the non-uniformity, we introduce the idea of array interpolation to construct a uniform linear virtual array, such that the information contained in the coprime virtual array can be fully utilized. According to the statistics of non-uniform coprime virtual array signal, we formulate a convex optimization problem for DOA estimation by reconstructing the covariance matrix of the equivalent received signals of the interpolated coprime virtual array under the Toeplitz constraint. Simulation results demonstrate the effectiveness of the proposed algorithm.

Original language	English
Title of host publication	2017 IEEE 85th Vehicular Technology Conference, VTC Spring 2017 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781509059324
DOIs	https://doi.org/10.1109/vtcspring.2017.8108559
State	Published - 14 Nov 2017
Externally published	Yes
Event	85th IEEE Vehicular Technology Conference, VTC Spring 2017 - Sydney, Australia Duration: 4 Jun 2017 → 7 Jun 2017

Publication series

Name	IEEE Vehicular Technology Conference
Volume	2017-June
ISSN (Print)	1550-2252

Conference

Conference	85th IEEE Vehicular Technology Conference, VTC Spring 2017
Country/Territory	Australia
City	Sydney
Period	4/06/17 → 7/06/17

Bibliographical note

Publisher Copyright:
© 2017 IEEE.

Funding

ACKNOWLEDGMENT This work has been supported in part by Zhejiang Provincial Natural Science Foundation under grant No. LR16F010002, and Intel under agreement No. CG# 30397855.

Funders	Funder number
Natural Science Foundation of Zhejiang Province

Keywords

Coprime array
Direction-of-arrival estimation
Interpolation
Toeplitz matrix reconstruction
Virtual array

Access to Document

10.1109/vtcspring.2017.8108559

Cite this

Fan, X., Zhou, C., Gu, Y., & Shi, Z. (2017). Toeplitz Matrix Reconstruction of Interpolated Coprime Virtual Array for DOA Estimation. In 2017 IEEE 85th Vehicular Technology Conference, VTC Spring 2017 - Proceedings Article 8108559 (IEEE Vehicular Technology Conference; Vol. 2017-June). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/vtcspring.2017.8108559

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title = "Toeplitz Matrix Reconstruction of Interpolated Coprime Virtual Array for DOA Estimation",

abstract = "A coprime array enables an increased number of degrees-of-freedom by deriving a non-uniform virtual array. However, existing work such as spatial smoothing fails to utilize all of the information provided by the coprime array, which results in performance loss. In this paper, we propose a novel coprime virtual array interpolation-based direction- of-arrival (DOA) estimation algorithm by Toeplitz matrix reconstruction. After investigating the challenges caused by the non-uniformity, we introduce the idea of array interpolation to construct a uniform linear virtual array, such that the information contained in the coprime virtual array can be fully utilized. According to the statistics of non-uniform coprime virtual array signal, we formulate a convex optimization problem for DOA estimation by reconstructing the covariance matrix of the equivalent received signals of the interpolated coprime virtual array under the Toeplitz constraint. Simulation results demonstrate the effectiveness of the proposed algorithm.",

keywords = "Coprime array, Direction-of-arrival estimation, Interpolation, Toeplitz matrix reconstruction, Virtual array",

author = "Xing Fan and Chengwei Zhou and Yujie Gu and Zhiguo Shi",

note = "Publisher Copyright: {\textcopyright} 2017 IEEE.; 85th IEEE Vehicular Technology Conference, VTC Spring 2017 ; Conference date: 04-06-2017 Through 07-06-2017",

year = "2017",

month = nov,

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doi = "10.1109/vtcspring.2017.8108559",

language = "אנגלית",

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Fan, X, Zhou, C, Gu, Y & Shi, Z 2017, Toeplitz Matrix Reconstruction of Interpolated Coprime Virtual Array for DOA Estimation. in 2017 IEEE 85th Vehicular Technology Conference, VTC Spring 2017 - Proceedings., 8108559, IEEE Vehicular Technology Conference, vol. 2017-June, Institute of Electrical and Electronics Engineers Inc., 85th IEEE Vehicular Technology Conference, VTC Spring 2017, Sydney, Australia, 4/06/17. https://doi.org/10.1109/vtcspring.2017.8108559

Toeplitz Matrix Reconstruction of Interpolated Coprime Virtual Array for DOA Estimation. / Fan, Xing; Zhou, Chengwei; Gu, Yujie et al.
2017 IEEE 85th Vehicular Technology Conference, VTC Spring 2017 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2017. 8108559 (IEEE Vehicular Technology Conference; Vol. 2017-June).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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Toeplitz Matrix Reconstruction of Interpolated Coprime Virtual Array for DOA Estimation

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