Three-level prime arrays for sparse sampling in direction of arrival estimation

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12 Scopus citations

Abstract

This paper proposes array configurations that can be used for sparse direction-of-arrival (DOA) estimation. The proposed array uses three uniform linear subarrays where the number of elements in the subarrays are taken to be pairwise coprime integers. The proposed array is referred to as a three-level prime array (3LPA). If the number of elements are pairwise coprime integers and primitive Pythagorean triple (PPT), a special case of the 3LPA is generated and we refer to as a Pythagorean array (PA). The elements of subarray 1 are spaced by the number of elements of subarray 2 or the number of elements of subarray 3. The same is done for subarray 2 and subarray 3 such that the subarrays share only their first antenna element. The main objective of the proposed arrays is to increase the degree-of-freedom (DOF) using a small aperture size. To handle this, the DOF is optimized and formulated as a function of the number of elements in the subarrays. For the same number of elements, the proposed array has smaller aperture and achieve more unique lags and consecutive lags and consequently large DOF compared with coprime array. Simulation results confirm the advantage of the proposed configurations compared to prototype coprime arrays.

Original languageEnglish
Title of host publication2016 IEEE Asia-Pacific Conference on Applied Electromagnetics, APACE 2016
EditorsMuhammad Ramlee Kamarudin, Fauziahanim Che Seman, Mohd Khairul Mohd Salleh
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages277-281
Number of pages5
ISBN (Electronic)9781509010608
DOIs
StatePublished - 2016

Publication series

Name2016 IEEE Asia-Pacific Conference on Applied Electromagnetics, APACE 2016

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Keywords

  • Coprime array
  • Degree of freedom
  • Difference coarray
  • Direction-of-arrival estimation
  • Pythagorean array
  • Three-level prime array

ASJC Scopus subject areas

  • Computer Networks and Communications
  • Instrumentation

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