TY - GEN
T1 - Error Analysis of Convolutional Beamspace Algorithms
AU - Chen, Po Chih
AU - Vaidyanathan, P. P.
N1 - Publisher Copyright:
© 2023 IEEE.
PY - 2023
Y1 - 2023
N2 - Beamspace processing for DOA estimation offers low computational complexity and high DOA resolution. Moreover, unlike classical beamspace methods, convolutional beamspace (CBS) preserves the Vandermonde structure of uniform linear array output, so no additional preparation is needed to apply root-MUSIC. In this paper, theoretical MSE of CBS is given when MUSIC or root-MUSIC is used. Error variance can be derived from the asymptotic probability distribution of the eigenvectors of an average finite-snapshot covariance matrix. Meanwhile, the bias due to the filtered stopband sources is given by first-order perturbation analysis. Known advantages of CBS are confirmed by the MSE analysis. For example, CBS yields smaller MSE for correlated sources than element-space. The theoretical results are verified by simulations.
AB - Beamspace processing for DOA estimation offers low computational complexity and high DOA resolution. Moreover, unlike classical beamspace methods, convolutional beamspace (CBS) preserves the Vandermonde structure of uniform linear array output, so no additional preparation is needed to apply root-MUSIC. In this paper, theoretical MSE of CBS is given when MUSIC or root-MUSIC is used. Error variance can be derived from the asymptotic probability distribution of the eigenvectors of an average finite-snapshot covariance matrix. Meanwhile, the bias due to the filtered stopband sources is given by first-order perturbation analysis. Known advantages of CBS are confirmed by the MSE analysis. For example, CBS yields smaller MSE for correlated sources than element-space. The theoretical results are verified by simulations.
KW - Convolutional beamspace
KW - DOA estimation
KW - MSE
KW - MUSIC
UR - http://www.scopus.com/inward/record.url?scp=85177579469&partnerID=8YFLogxK
U2 - 10.1109/ICASSP49357.2023.10095614
DO - 10.1109/ICASSP49357.2023.10095614
M3 - Conference contribution
AN - SCOPUS:85177579469
T3 - ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
BT - ICASSP 2023 - 2023 IEEE International Conference on Acoustics, Speech and Signal Processing, Proceedings
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 48th IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP 2023
Y2 - 4 June 2023 through 10 June 2023
ER -