Extended cantor arrays with hole-free fourth-order difference co-arrays

Zixiang Yang; Qing Shen; Wei Liu; Yonina C. Eldar; Wei Cui

doi:10.1109/ISCAS51556.2021.9401739

Extended cantor arrays with hole-free fourth-order difference co-arrays

Zixiang Yang, Qing Shen, Wei Liu, Yonina C. Eldar, Wei Cui

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

9 Citations (Scopus)

Abstract

We present extended Cantor arrays based on fourth-order difference co-arrays (E-FO-Cantor). These arrays result from extending the recently proposed fractal arrays to fourth-order difference co-arrays, and lead to fourth-order difference co-arrays that are hole-free. The set of sensor positions of the E-FO-Cantor is expressed in a simple and recursive form. The proposed Cantor arrays lead to O(N^{2 log2 3}) ≈ O(N^3.17) degrees of freedom compared to O(N²) that can be achieved by existing sparse arrays with the hole-free property. Compared with other sparse arrays with the hole-free property in their fourth-order co-arrays, the proposed Cantor arrays provide a longer uniform linear array with more virtual sensors, leading to better DOA estimation performance.

Original language	English
Title of host publication	2021 IEEE International Symposium on Circuits and Systems, ISCAS 2021 - Proceedings
Publisher	Institute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)	9781728192017
DOIs	https://doi.org/10.1109/ISCAS51556.2021.9401739
Publication status	Published - Apr 2021
Event	53rd IEEE International Symposium on Circuits and Systems, ISCAS 2021 - Daegu, Korea, Republic of Duration: 22 May 2021 → 28 May 2021

Publication series

Name	Proceedings - IEEE International Symposium on Circuits and Systems
Volume	2021-May
ISSN (Print)	0271-4310

Conference

Conference	53rd IEEE International Symposium on Circuits and Systems, ISCAS 2021
Country/Territory	Korea, Republic of
City	Daegu
Period	22/05/21 → 28/05/21

Keywords

Cantor arrays
Difference co-array
Direction of arrival estimation
Fourth-order cumulants
Sparse array design

ASJC Scopus subject areas

Electrical and Electronic Engineering

More information

10.1109/ISCAS51556.2021.9401739

Cite this

Yang, Z., Shen, Q., Liu, W., Eldar, Y. C., & Cui, W. (2021). Extended cantor arrays with hole-free fourth-order difference co-arrays. In 2021 IEEE International Symposium on Circuits and Systems, ISCAS 2021 - Proceedings Article 9401739 (Proceedings - IEEE International Symposium on Circuits and Systems; Vol. 2021-May). Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/ISCAS51556.2021.9401739

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abstract = "We present extended Cantor arrays based on fourth-order difference co-arrays (E-FO-Cantor). These arrays result from extending the recently proposed fractal arrays to fourth-order difference co-arrays, and lead to fourth-order difference co-arrays that are hole-free. The set of sensor positions of the E-FO-Cantor is expressed in a simple and recursive form. The proposed Cantor arrays lead to O(N2 log2 3) ≈ O(N3.17) degrees of freedom compared to O(N2) that can be achieved by existing sparse arrays with the hole-free property. Compared with other sparse arrays with the hole-free property in their fourth-order co-arrays, the proposed Cantor arrays provide a longer uniform linear array with more virtual sensors, leading to better DOA estimation performance.",

keywords = "Cantor arrays, Difference co-array, Direction of arrival estimation, Fourth-order cumulants, Sparse array design",

author = "Zixiang Yang and Qing Shen and Wei Liu and Eldar, {Yonina C.} and Wei Cui",

note = "Publisher Copyright: {\textcopyright} 2021 IEEE; 53rd IEEE International Symposium on Circuits and Systems, ISCAS 2021 ; Conference date: 22-05-2021 Through 28-05-2021",

year = "2021",

month = apr,

doi = "10.1109/ISCAS51556.2021.9401739",

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Yang, Z, Shen, Q, Liu, W, Eldar, YC & Cui, W 2021, Extended cantor arrays with hole-free fourth-order difference co-arrays. in 2021 IEEE International Symposium on Circuits and Systems, ISCAS 2021 - Proceedings., 9401739, Proceedings - IEEE International Symposium on Circuits and Systems, vol. 2021-May, Institute of Electrical and Electronics Engineers Inc., 53rd IEEE International Symposium on Circuits and Systems, ISCAS 2021, Daegu, Korea, Republic of, 22/05/21. https://doi.org/10.1109/ISCAS51556.2021.9401739

Extended cantor arrays with hole-free fourth-order difference co-arrays. / Yang, Zixiang; Shen, Qing; Liu, Wei et al.
2021 IEEE International Symposium on Circuits and Systems, ISCAS 2021 - Proceedings. Institute of Electrical and Electronics Engineers Inc., 2021. 9401739 (Proceedings - IEEE International Symposium on Circuits and Systems; Vol. 2021-May).

Research output: Chapter in book / Conference proceeding › Conference article published in proceeding or book › Academic research › peer-review

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AU - Yang, Zixiang

AU - Shen, Qing

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AU - Eldar, Yonina C.

AU - Cui, Wei

PY - 2021/4

Y1 - 2021/4

N2 - We present extended Cantor arrays based on fourth-order difference co-arrays (E-FO-Cantor). These arrays result from extending the recently proposed fractal arrays to fourth-order difference co-arrays, and lead to fourth-order difference co-arrays that are hole-free. The set of sensor positions of the E-FO-Cantor is expressed in a simple and recursive form. The proposed Cantor arrays lead to O(N2 log2 3) ≈ O(N3.17) degrees of freedom compared to O(N2) that can be achieved by existing sparse arrays with the hole-free property. Compared with other sparse arrays with the hole-free property in their fourth-order co-arrays, the proposed Cantor arrays provide a longer uniform linear array with more virtual sensors, leading to better DOA estimation performance.

AB - We present extended Cantor arrays based on fourth-order difference co-arrays (E-FO-Cantor). These arrays result from extending the recently proposed fractal arrays to fourth-order difference co-arrays, and lead to fourth-order difference co-arrays that are hole-free. The set of sensor positions of the E-FO-Cantor is expressed in a simple and recursive form. The proposed Cantor arrays lead to O(N2 log2 3) ≈ O(N3.17) degrees of freedom compared to O(N2) that can be achieved by existing sparse arrays with the hole-free property. Compared with other sparse arrays with the hole-free property in their fourth-order co-arrays, the proposed Cantor arrays provide a longer uniform linear array with more virtual sensors, leading to better DOA estimation performance.

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KW - Direction of arrival estimation

KW - Fourth-order cumulants

KW - Sparse array design

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Yang Z, Shen Q, Liu W, Eldar YC, Cui W. Extended cantor arrays with hole-free fourth-order difference co-arrays. In 2021 IEEE International Symposium on Circuits and Systems, ISCAS 2021 - Proceedings. Institute of Electrical and Electronics Engineers Inc. 2021. 9401739. (Proceedings - IEEE International Symposium on Circuits and Systems). doi: 10.1109/ISCAS51556.2021.9401739

Extended cantor arrays with hole-free fourth-order difference co-arrays

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