TY - GEN
T1 - Fast adaptive Bayesian beamforming using the FFT
AU - Lam, C. J.
AU - Singer, A. C.
N1 - Publisher Copyright:
© 2003 IEEE.
PY - 2003
Y1 - 2003
N2 - A fast algorithm is developed to implement a Bayesian beam-former that can estimate signals of unknown direction of arrival (DOA). In the Bayesian approach, the underlying DOA is assumed random and its a posteriori probability density function (PDF) is approximated by a discrete probability mass function. A Bayesian beamformer then balances a set of beamformers according to the associated weights. To obtain a close approximation of the a posteriori PDF, the number of samples must be sufficiently large, incurring a significant computational burden. In this paper, we exploit the structure of a uniform linear array (ULA) to show that samples of the a posteriori PDF can be computed efficiently using the fast Fourier transform (FFT). This leads to a fast algorithm for the Bayesian beamformer, which operates in O(MlogM + N2) operations where M is the number of samples and N is the number of sensors.
AB - A fast algorithm is developed to implement a Bayesian beam-former that can estimate signals of unknown direction of arrival (DOA). In the Bayesian approach, the underlying DOA is assumed random and its a posteriori probability density function (PDF) is approximated by a discrete probability mass function. A Bayesian beamformer then balances a set of beamformers according to the associated weights. To obtain a close approximation of the a posteriori PDF, the number of samples must be sufficiently large, incurring a significant computational burden. In this paper, we exploit the structure of a uniform linear array (ULA) to show that samples of the a posteriori PDF can be computed efficiently using the fast Fourier transform (FFT). This leads to a fast algorithm for the Bayesian beamformer, which operates in O(MlogM + N2) operations where M is the number of samples and N is the number of sensors.
KW - Array signal processing
KW - Bayesian methods
KW - Computational efficiency
KW - Direction of arrival estimation
KW - Fast Fourier transforms
KW - Frequency estimation
KW - Probability density function
KW - Radar
KW - Sonar
KW - Vectors
UR - https://www.scopus.com/pages/publications/34547775302
U2 - 10.1109/SSP.2003.1289434
DO - 10.1109/SSP.2003.1289434
M3 - Conference contribution
AN - SCOPUS:34547775302
T3 - IEEE Workshop on Statistical Signal Processing Proceedings
SP - 413
EP - 416
BT - Proceedings of the 2003 IEEE Workshop on Statistical Signal Processing, SSP 2003
PB - IEEE Computer Society
T2 - IEEE Workshop on Statistical Signal Processing, SSP 2003
Y2 - 28 September 2003 through 1 October 2003
ER -