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/Report/Conference proceedingConference contributionpeer-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(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.

Original languageEnglish
Title of host publication2021 IEEE International Symposium on Circuits and Systems, ISCAS 2021 - Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
ISBN (Electronic)9781728192017
DOIs
Publication statusPublished - 2021
Event53rd IEEE International Symposium on Circuits and Systems, ISCAS 2021 - Daegu, Korea, Republic of
Duration: 22 May 202128 May 2021

Publication series

NameProceedings - IEEE International Symposium on Circuits and Systems
Volume2021-May
ISSN (Print)0271-4310

Conference

Conference53rd IEEE International Symposium on Circuits and Systems, ISCAS 2021
Country/TerritoryKorea, Republic of
CityDaegu
Period22/05/2128/05/21

Keywords

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

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