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Direction of arrival estimation using nonsingular spherical ESPRIT.

Byeongho Jo1, Jung-Woo Choi1

  • 1School of Electrical Engineering, Korea Advanced Institute of Science and Technology, 291 Daehak-ro, Yuseong-gu, Daejeon 34141, Korea byeongho@kaist.ac.kr, jwoo@kaist.ac.kr.

The Journal of the Acoustical Society of America
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A new nonsingular spherical ESPRIT technique improves direction-of-arrival estimation by using sine-based recurrence relations. This method avoids ill-conditioning and estimates more sources than the conventional eigenbeam-ESPRIT (EB-ESPRIT).

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Area of Science:

  • Signal Processing
  • Acoustics
  • Array Signal Processing

Background:

  • Eigenbeam-ESPRIT (EB-ESPRIT) is a parametric method for direction-of-arrival (DOA) estimation using spherical harmonics.
  • The conventional EB-ESPRIT method uses an arctangent function for elevation angle estimation, leading to ill-conditioning near the spherical equator.

Purpose of the Study:

  • To propose a novel nonsingular spherical ESPRIT technique for robust DOA estimation.
  • To overcome the ill-conditioning limitations of the conventional EB-ESPRIT method.

Main Methods:

  • A new nonsingular spherical ESPRIT technique is developed based on sine-based recurrence relations.
  • Elevation angles are estimated using an arcsine function, avoiding divergence issues.

Main Results:

  • The proposed technique effectively avoids the ill-conditioning problems associated with arctangent functions.
  • The nonsingular spherical ESPRIT method demonstrates the capability to estimate a greater number of sources compared to EB-ESPRIT.
  • Accurate direction-of-arrival estimation is achieved even in challenging scenarios near the spherical equator.

Conclusions:

  • The proposed nonsingular spherical ESPRIT technique offers a more robust and capable alternative for direction-of-arrival estimation.
  • This advancement is crucial for applications requiring precise source localization in spherical coordinate systems.