Toeplitz Matrix Completion for Direction Finding Using a Modified Nested Linear Array

Huiping Huang; Yang  Miao; Yi Gong; Bin Liao

doi:10.1109/ICASSP.2019.8682693

Toeplitz Matrix Completion for Direction Finding Using a Modified Nested Linear Array

Huiping Huang^*, Yang Miao, Yi Gong, Bin Liao

^*Corresponding author for this work

Telecommunication Engineering

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

6 Citations (Scopus)

21 Downloads (Pure)

Abstract

A modified nested linear array (MNLA) has been reported recently for a greater potential in increasing the degree-of-freedom. However, there exist some holes in the difference co-array, which results in missing lags and limited performance of direction-of-arrival (DOA) estimation. In order to tackle this problem, this paper applies a Toeplitz matrix completion technique to MNLA, and investigates the performance of DOA estimation on this basis. Particularly, a semidefinite program with trace minimization is derived to obtain the covariance matrix with Hermitian and Toeplitz structure. The recovered Toeplitz covariance matrix is then utilized to perform DOA estimation. Various numerical examples are provided to verify the effectiveness and superiority of the proposed method.

Original language	English
Title of host publication	2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings
Place of Publication	Piscataway, NJ
Publisher	IEEE
Pages	4474-4478
Number of pages	5
ISBN (Electronic)	978-1-4799-8131-1
ISBN (Print)	978-1-4799-8132-8
DOIs	https://doi.org/10.1109/ICASSP.2019.8682693
Publication status	Published - May 2019
Event	44th International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Brighton Conference Centre, Brighton, United Kingdom Duration: 12 May 2019 → 17 May 2019 Conference number: 44

Publication series

Name	IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) - Proceedings
Publisher	IEEE
Volume	2019
ISSN (Print)	1520-6149
ISSN (Electronic)	2379-190X

Conference

Conference	44th International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019
Abbreviated title	ICASSP
Country/Territory	United Kingdom
City	Brighton
Period	12/05/19 → 17/05/19

Keywords

DOA estimation
Toeplitz matrix completion
Direction finding
Nested array

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10.1109/ICASSP.2019.8682693

Cite this

Huang, H., Miao, Y., Gong, Y., & Liao, B. (2019). Toeplitz Matrix Completion for Direction Finding Using a Modified Nested Linear Array. In 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings (pp. 4474-4478). Article 8682693 (IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) - Proceedings; Vol. 2019). IEEE. https://doi.org/10.1109/ICASSP.2019.8682693

Huang, Huiping ; Miao, Yang ; Gong, Yi et al. / Toeplitz Matrix Completion for Direction Finding Using a Modified Nested Linear Array. 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings. Piscataway, NJ : IEEE, 2019. pp. 4474-4478 (IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) - Proceedings).

@inproceedings{d534ef73c5aa419898c75337fa098587,

title = "Toeplitz Matrix Completion for Direction Finding Using a Modified Nested Linear Array",

abstract = "A modified nested linear array (MNLA) has been reported recently for a greater potential in increasing the degree-of-freedom. However, there exist some holes in the difference co-array, which results in missing lags and limited performance of direction-of-arrival (DOA) estimation. In order to tackle this problem, this paper applies a Toeplitz matrix completion technique to MNLA, and investigates the performance of DOA estimation on this basis. Particularly, a semidefinite program with trace minimization is derived to obtain the covariance matrix with Hermitian and Toeplitz structure. The recovered Toeplitz covariance matrix is then utilized to perform DOA estimation. Various numerical examples are provided to verify the effectiveness and superiority of the proposed method.",

keywords = "DOA estimation, Toeplitz matrix completion, Direction finding, Nested array",

author = "Huiping Huang and Yang Miao and Yi Gong and Bin Liao",

year = "2019",

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doi = "10.1109/ICASSP.2019.8682693",

language = "English",

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series = "IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) - Proceedings",

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booktitle = "2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings",

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note = "44th International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019, ICASSP ; Conference date: 12-05-2019 Through 17-05-2019",

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Huang, H, Miao, Y, Gong, Y & Liao, B 2019, Toeplitz Matrix Completion for Direction Finding Using a Modified Nested Linear Array. in 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings., 8682693, IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) - Proceedings, vol. 2019, IEEE, Piscataway, NJ, pp. 4474-4478, 44th International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019, Brighton, United Kingdom, 12/05/19. https://doi.org/10.1109/ICASSP.2019.8682693

Toeplitz Matrix Completion for Direction Finding Using a Modified Nested Linear Array. / Huang, Huiping; Miao, Yang ; Gong, Yi et al.
2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings. Piscataway, NJ: IEEE, 2019. p. 4474-4478 8682693 (IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) - Proceedings; Vol. 2019).

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

TY - GEN

T1 - Toeplitz Matrix Completion for Direction Finding Using a Modified Nested Linear Array

AU - Huang, Huiping

AU - Miao, Yang

AU - Gong, Yi

AU - Liao, Bin

N1 - Conference code: 44

PY - 2019/5

Y1 - 2019/5

N2 - A modified nested linear array (MNLA) has been reported recently for a greater potential in increasing the degree-of-freedom. However, there exist some holes in the difference co-array, which results in missing lags and limited performance of direction-of-arrival (DOA) estimation. In order to tackle this problem, this paper applies a Toeplitz matrix completion technique to MNLA, and investigates the performance of DOA estimation on this basis. Particularly, a semidefinite program with trace minimization is derived to obtain the covariance matrix with Hermitian and Toeplitz structure. The recovered Toeplitz covariance matrix is then utilized to perform DOA estimation. Various numerical examples are provided to verify the effectiveness and superiority of the proposed method.

AB - A modified nested linear array (MNLA) has been reported recently for a greater potential in increasing the degree-of-freedom. However, there exist some holes in the difference co-array, which results in missing lags and limited performance of direction-of-arrival (DOA) estimation. In order to tackle this problem, this paper applies a Toeplitz matrix completion technique to MNLA, and investigates the performance of DOA estimation on this basis. Particularly, a semidefinite program with trace minimization is derived to obtain the covariance matrix with Hermitian and Toeplitz structure. The recovered Toeplitz covariance matrix is then utilized to perform DOA estimation. Various numerical examples are provided to verify the effectiveness and superiority of the proposed method.

KW - DOA estimation

KW - Toeplitz matrix completion

KW - Direction finding

KW - Nested array

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DO - 10.1109/ICASSP.2019.8682693

M3 - Conference contribution

SN - 978-1-4799-8132-8

T3 - IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) - Proceedings

SP - 4474

EP - 4478

BT - 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings

PB - IEEE

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Y2 - 12 May 2019 through 17 May 2019

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Huang H, Miao Y, Gong Y, Liao B. Toeplitz Matrix Completion for Direction Finding Using a Modified Nested Linear Array. In 2019 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2019 - Proceedings. Piscataway, NJ: IEEE. 2019. p. 4474-4478. 8682693. (IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP) - Proceedings). doi: 10.1109/ICASSP.2019.8682693

Toeplitz Matrix Completion for Direction Finding Using a Modified Nested Linear Array

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