TY - GEN
T1 - Identifiability Analysis of Sensor Arrays with Sensors off Half-Wavelength Grid
AU - Chowdhury, Md Waqeeb T.S.
AU - Zhang, Yimin D.
AU - Liu, Wei
AU - Greco, Maria S.
N1 - Publisher Copyright:
© 2024 IEEE.
PY - 2024/4
Y1 - 2024/4
N2 - In this paper, we analyze the effect of sensor placement to the achievable number of degrees-of-freedom (DOFs) when the sensors deviate from a half-wavelength grid. More specifically, we consider two variations of a uniform linear array (ULA), namely, when one or more sensors are shifted from half-wavelength grid positions and when the inter-element spacing of the ULA is smaller than a half-wavelength. The numerical rank and the rank-revealing QR factorization of the array data covariance matrix are examined and the number of DOFs of the array is studied in terms of the rank of the array data covariance matrix. A threshold based on the rank-revealing QR factorization is proposed to separate the eigenvalues respectively corresponding to the signal and noise subspaces, and thus the numerical rank of the array data covariance matrix is estimated. Simulation results are provided to justify the findings and provide insights on sensor placements to preserve the array DOFs.
AB - In this paper, we analyze the effect of sensor placement to the achievable number of degrees-of-freedom (DOFs) when the sensors deviate from a half-wavelength grid. More specifically, we consider two variations of a uniform linear array (ULA), namely, when one or more sensors are shifted from half-wavelength grid positions and when the inter-element spacing of the ULA is smaller than a half-wavelength. The numerical rank and the rank-revealing QR factorization of the array data covariance matrix are examined and the number of DOFs of the array is studied in terms of the rank of the array data covariance matrix. A threshold based on the rank-revealing QR factorization is proposed to separate the eigenvalues respectively corresponding to the signal and noise subspaces, and thus the numerical rank of the array data covariance matrix is estimated. Simulation results are provided to justify the findings and provide insights on sensor placements to preserve the array DOFs.
KW - degrees-of-freedom
KW - Direction-of-arrival estimation
KW - non-integer array
KW - QR factorization
KW - rank analysis
UR - http://www.scopus.com/inward/record.url?scp=85195419082&partnerID=8YFLogxK
U2 - 10.1109/ICASSP48485.2024.10447672
DO - 10.1109/ICASSP48485.2024.10447672
M3 - Conference article published in proceeding or book
AN - SCOPUS:85195419082
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
SP - 8496
EP - 8500
BT - 2024 IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2024 - Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 49th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2024
Y2 - 14 April 2024 through 19 April 2024
ER -