TY - JOUR
T1 - Closed-Form Hybrid Cramer-Rao Bound for DOA Estimation by an Acoustic Vector Sensor Under Orientation Deviation
AU - Lu, Da
AU - Duan, Rui
AU - Yang, Kunde
N1 - Publisher Copyright:
© 2021 IEEE.
PY - 2021
Y1 - 2021
N2 - 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.
AB - 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.
KW - acoustic vector sensor
KW - Cramer-Rao bound
KW - direction-of-arrival estimation
KW - orientation deviation
UR - http://www.scopus.com/inward/record.url?scp=85115701195&partnerID=8YFLogxK
U2 - 10.1109/LSP.2021.3114125
DO - 10.1109/LSP.2021.3114125
M3 - 文章
AN - SCOPUS:85115701195
SN - 1070-9908
VL - 28
SP - 2033
EP - 2037
JO - IEEE Signal Processing Letters
JF - IEEE Signal Processing Letters
ER -