TY - GEN
T1 - Cramer-Rao bound and approximate maximum likelihood estimation for non-coherent direction of arrival problem
AU - Jiang, Wei
AU - Haimovich, Alexander M.
N1 - Publisher Copyright:
© 2016 IEEE.
PY - 2016/4/26
Y1 - 2016/4/26
N2 - In previous work we proposed a direction of arrival (DOA) estimation method from non-coherent measurements taken by an array of sensors. Here, it is shown that the non-coherent measurements in the form of magnitude squared of array observations measured in the presence of additive white Gaussian noise are distributed according to a non-central chisquare distribution. It is further shown that, under certain conditions, the non-coherent measurements may be approximated by a Gaussian distribution. With this approximation, we develop the Cramer-Rao bound (CRB) on the non-coherent DOA estimation of a single source as well as an analytical expression of the maximum likelihood estimation (MLE) of the DOA. Numerical examples are presented to illustrate the performance of the non-coherent DOA estimator. For example, non-coherent DOA estimation outperforms coherent DOA when the standard deviation of the phase errors exceeds 15 degrees and the signal to noise ratio (SNR) exceeds 5 dB.
AB - In previous work we proposed a direction of arrival (DOA) estimation method from non-coherent measurements taken by an array of sensors. Here, it is shown that the non-coherent measurements in the form of magnitude squared of array observations measured in the presence of additive white Gaussian noise are distributed according to a non-central chisquare distribution. It is further shown that, under certain conditions, the non-coherent measurements may be approximated by a Gaussian distribution. With this approximation, we develop the Cramer-Rao bound (CRB) on the non-coherent DOA estimation of a single source as well as an analytical expression of the maximum likelihood estimation (MLE) of the DOA. Numerical examples are presented to illustrate the performance of the non-coherent DOA estimator. For example, non-coherent DOA estimation outperforms coherent DOA when the standard deviation of the phase errors exceeds 15 degrees and the signal to noise ratio (SNR) exceeds 5 dB.
KW - Cramer-Rao bound
KW - Direction of arrival
KW - Magnitude-only measurements
KW - Maximum likelihood estimation
UR - http://www.scopus.com/inward/record.url?scp=84992362232&partnerID=8YFLogxK
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U2 - 10.1109/CISS.2016.7460554
DO - 10.1109/CISS.2016.7460554
M3 - Conference contribution
AN - SCOPUS:84992362232
T3 - 2016 50th Annual Conference on Information Systems and Sciences, CISS 2016
SP - 506
EP - 510
BT - 2016 50th Annual Conference on Information Systems and Sciences, CISS 2016
PB - Institute of Electrical and Electronics Engineers Inc.
T2 - 50th Annual Conference on Information Systems and Sciences, CISS 2016
Y2 - 16 March 2016 through 18 March 2016
ER -