TY - GEN
T1 - On the threshold region mean-squared error performance of maximum-likelihood direction-of-arrival estimation in the presence of signal model mismatch
AU - Richmond, Christ D.
PY - 2006/12/1
Y1 - 2006/12/1
N2 - The mean squared error (MSE) performance prediction of MaximumLikelihood (ML) Direction-Of-Arrival (DOA) angle estimation has been studied extensively. Previous analyses consider Cramér-Rao Bounds, sensitivity/asymptotic [in signal-to-colored noise ratio (SNR)] local error performance prediction that includes the impact of finite samples effects and additive signal modeling errors (mismatch), and prediction of the low SNR threshold region performance of ML DOA (without mismatch). Analysis of the adaptive array ML DOA (without mismatch) scenario has also been considered. The goals of this present analysis include the following: (i) to extend prediction of the asymptotic and threshold region MSE performance of ML to include a general form of deterministic signal model mismatch, and (ii) to begin looking at the threshold region performance of ML DOA estimation from an information-theoretic perspective, (iii) to determine if the classic work of Huber on model misspecification, although primarily asymptotic in nature, provide new insights into this finite sample problem. This initial work will focus on the DOA estimation of a single deterministic planewave signal in known colored noise and brief consideration will be given to the more complex scenario of an adaptive array in which the colored noise covariance must be estimated.
AB - The mean squared error (MSE) performance prediction of MaximumLikelihood (ML) Direction-Of-Arrival (DOA) angle estimation has been studied extensively. Previous analyses consider Cramér-Rao Bounds, sensitivity/asymptotic [in signal-to-colored noise ratio (SNR)] local error performance prediction that includes the impact of finite samples effects and additive signal modeling errors (mismatch), and prediction of the low SNR threshold region performance of ML DOA (without mismatch). Analysis of the adaptive array ML DOA (without mismatch) scenario has also been considered. The goals of this present analysis include the following: (i) to extend prediction of the asymptotic and threshold region MSE performance of ML to include a general form of deterministic signal model mismatch, and (ii) to begin looking at the threshold region performance of ML DOA estimation from an information-theoretic perspective, (iii) to determine if the classic work of Huber on model misspecification, although primarily asymptotic in nature, provide new insights into this finite sample problem. This initial work will focus on the DOA estimation of a single deterministic planewave signal in known colored noise and brief consideration will be given to the more complex scenario of an adaptive array in which the colored noise covariance must be estimated.
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U2 - 10.1109/SAM.2006.1677201
DO - 10.1109/SAM.2006.1677201
M3 - Conference contribution
AN - SCOPUS:34250755572
SN - 1424403081
SN - 9781424403080
T3 - 2006 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings, SAM 2006
SP - 268
EP - 272
BT - 2006 IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings, SAM 2006
T2 - 4th IEEE Sensor Array and Multichannel Signal Processing Workshop Proceedings, SAM 2006
Y2 - 12 July 2006 through 14 July 2006
ER -