A method for 3D direction of arrival estimation for general arrays using multiple frequencies

Fredrik Andersson; Marcus Carlsson; Jean Yves Tourneret; Herwig Wendt

doi:10.1109/CAMSAP.2015.7383802

A method for 3D direction of arrival estimation for general arrays using multiple frequencies

Fredrik Andersson, Marcus Carlsson, Jean Yves Tourneret, Herwig Wendt

University of Toulouse

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

Abstract

We develop a novel high-resolution method for the estimation of the direction of incidence of energy emitted by sources in 3D space from wideband measurements collected by a planar array of sensors. We make use of recent generalizations of Kronecker's theorem and formulate the direction of arrival estimation problem as an optimization problem in the space of sequences generating so called general domain Hankel matrices of fixed rank. The unequal sampling at different wavelengths is handled by using appropriate interpolation operators. The algorithm is operational for general array geometries (i.e., not restricted to, e.g., rectangular arrays) and for equidistantly as well as unequally spaced receivers. Numerical simulations for different sensor arrays and various signal-to-noise ratios are provided and demonstrate its excellent performance.

Original language	English
Title of host publication	2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015
Publisher	IEEE - Institute of Electrical and Electronics Engineers Inc.
Pages	325-328
Number of pages	4
ISBN (Print)	9781479919635
DOIs	https://doi.org/10.1109/CAMSAP.2015.7383802
Publication status	Published - 2016 Jan 14
Event	6th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015 - Cancun, Mexico Duration: 2015 Dec 13 → 2015 Dec 16

Conference

Conference	6th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015
Country/Territory	Mexico
City	Cancun
Period	2015/12/13 → 2015/12/16

Subject classification (UKÄ)

Mathematics

Free keywords

3D DOA estimation
ADMM
general domain Hankel matrix
irregular sampling
Kronecker's theorem

Access to Document

10.1109/CAMSAP.2015.7383802

Cite this

Andersson, F., Carlsson, M., Tourneret, J. Y., & Wendt, H. (2016). A method for 3D direction of arrival estimation for general arrays using multiple frequencies. In 2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015 (pp. 325-328). Article 7383802 IEEE - Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CAMSAP.2015.7383802

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title = "A method for 3D direction of arrival estimation for general arrays using multiple frequencies",

abstract = "We develop a novel high-resolution method for the estimation of the direction of incidence of energy emitted by sources in 3D space from wideband measurements collected by a planar array of sensors. We make use of recent generalizations of Kronecker's theorem and formulate the direction of arrival estimation problem as an optimization problem in the space of sequences generating so called general domain Hankel matrices of fixed rank. The unequal sampling at different wavelengths is handled by using appropriate interpolation operators. The algorithm is operational for general array geometries (i.e., not restricted to, e.g., rectangular arrays) and for equidistantly as well as unequally spaced receivers. Numerical simulations for different sensor arrays and various signal-to-noise ratios are provided and demonstrate its excellent performance.",

keywords = "3D DOA estimation, ADMM, general domain Hankel matrix, irregular sampling, Kronecker's theorem",

author = "Fredrik Andersson and Marcus Carlsson and Tourneret, {Jean Yves} and Herwig Wendt",

year = "2016",

month = jan,

day = "14",

doi = "10.1109/CAMSAP.2015.7383802",

language = "English",

isbn = "9781479919635",

pages = "325--328",

booktitle = "2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015",

publisher = "IEEE - Institute of Electrical and Electronics Engineers Inc.",

address = "United States",

note = "6th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015 ; Conference date: 13-12-2015 Through 16-12-2015",

}

Andersson, F, Carlsson, M, Tourneret, JY & Wendt, H 2016, A method for 3D direction of arrival estimation for general arrays using multiple frequencies. in 2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015., 7383802, IEEE - Institute of Electrical and Electronics Engineers Inc., pp. 325-328, 6th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015, Cancun, Mexico, 2015/12/13. https://doi.org/10.1109/CAMSAP.2015.7383802

A method for 3D direction of arrival estimation for general arrays using multiple frequencies. / Andersson, Fredrik; Carlsson, Marcus; Tourneret, Jean Yves et al.
2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015. IEEE - Institute of Electrical and Electronics Engineers Inc., 2016. p. 325-328 7383802.

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

TY - GEN

T1 - A method for 3D direction of arrival estimation for general arrays using multiple frequencies

AU - Andersson, Fredrik

AU - Carlsson, Marcus

AU - Tourneret, Jean Yves

AU - Wendt, Herwig

PY - 2016/1/14

Y1 - 2016/1/14

N2 - We develop a novel high-resolution method for the estimation of the direction of incidence of energy emitted by sources in 3D space from wideband measurements collected by a planar array of sensors. We make use of recent generalizations of Kronecker's theorem and formulate the direction of arrival estimation problem as an optimization problem in the space of sequences generating so called general domain Hankel matrices of fixed rank. The unequal sampling at different wavelengths is handled by using appropriate interpolation operators. The algorithm is operational for general array geometries (i.e., not restricted to, e.g., rectangular arrays) and for equidistantly as well as unequally spaced receivers. Numerical simulations for different sensor arrays and various signal-to-noise ratios are provided and demonstrate its excellent performance.

AB - We develop a novel high-resolution method for the estimation of the direction of incidence of energy emitted by sources in 3D space from wideband measurements collected by a planar array of sensors. We make use of recent generalizations of Kronecker's theorem and formulate the direction of arrival estimation problem as an optimization problem in the space of sequences generating so called general domain Hankel matrices of fixed rank. The unequal sampling at different wavelengths is handled by using appropriate interpolation operators. The algorithm is operational for general array geometries (i.e., not restricted to, e.g., rectangular arrays) and for equidistantly as well as unequally spaced receivers. Numerical simulations for different sensor arrays and various signal-to-noise ratios are provided and demonstrate its excellent performance.

KW - 3D DOA estimation

KW - ADMM

KW - general domain Hankel matrix

KW - irregular sampling

KW - Kronecker's theorem

U2 - 10.1109/CAMSAP.2015.7383802

DO - 10.1109/CAMSAP.2015.7383802

M3 - Paper in conference proceeding

AN - SCOPUS:84963818645

SN - 9781479919635

SP - 325

EP - 328

BT - 2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015

PB - IEEE - Institute of Electrical and Electronics Engineers Inc.

T2 - 6th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015

Y2 - 13 December 2015 through 16 December 2015

ER -

Andersson F, Carlsson M, Tourneret JY, Wendt H. A method for 3D direction of arrival estimation for general arrays using multiple frequencies. In 2015 IEEE 6th International Workshop on Computational Advances in Multi-Sensor Adaptive Processing, CAMSAP 2015. IEEE - Institute of Electrical and Electronics Engineers Inc. 2016. p. 325-328. 7383802 doi: 10.1109/CAMSAP.2015.7383802

A method for 3D direction of arrival estimation for general arrays using multiple frequencies

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