Closed-Form Hybrid Cramer-Rao Bound for DOA Estimation by an Acoustic Vector Sensor Under Orientation Deviation

Da Lu, Rui Duan, Kunde Yang

Research output: Contribution to journalArticlepeer-review

7 Scopus citations

Abstract

Acoustic vector sensors have been widely used for direction-of-arrival (DOA) estimation in hydroacoustics and aeroacoustics. The orientation of the acoustic vector sensor must be measured, e.g., by an attitude sensor, before its application to DOA estimation. However, the measured orientation generally deviates slightly from its actual orientation because of imperfect attitude measurements. This letter investigates how random deviations in the orientation degrade the performance of DOA estimation. We derive a closed-form approximation of the hybrid Cramer-Rao bound forDOAestimation by modeling the deviations as zero-mean Gaussian variables with small variances. A relationship based on a determinant-differential formula is introduced to avoid a complicated brute-force solution, yielding a sufficiently simple expression with quantitative observations. Numerical results illustrate the high accuracy and effectiveness of the closed-form approximation.

Original languageEnglish
Pages (from-to)2033-2037
Number of pages5
JournalIEEE Signal Processing Letters
Volume28
DOIs
StatePublished - 2021

Keywords

  • acoustic vector sensor
  • Cramer-Rao bound
  • direction-of-arrival estimation
  • orientation deviation

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