caa a22 4500 477097057 CHVBK 20180405111530.0 cr unu---uuuuu 170330e19960501xx s 000 0 eng 10.1007/BF01182593 doi (NATIONALLICENCE)springer-10.1007/BF01182593 Large-sample analysis of MUSIC and Min-Norm direction estimators in the presence of model errors [Elektronische Daten] [Ari Kangas, Petre Stoica, Torsten Söderström] We analyze the large-sample mean square error (MSE) of MUSIC and Min-Norm direction-of-arrival (DOA) estimators under fairly general conditions, including mismodelling of the array response and the noise covariance. We separate the contributions to the MSE into a bias part caused by modelling errors and a variance part caused by finite (yet large) sample effects. The bias is simply evaluated by comparing the limiting estimate (corresponding to an infinite number of snapshots) with the true DOAs (which are known to the analyzer). To simplify the variance derivation we assume that the snapshots are complex i.i.d. Gaussian vectors and that the largest eigenvalues of their covariance matrix are distinct, but,otherwise, make none of the assumptions commonly used in previous analyses; in particular we do not constrain the snapshots to satisfy any model equation. The theoretical results obtained are illustrated by means of numerical examples using various modelling errors. Birkhäuser Boston, 1996 Kangas Ari Systems and Control Group, Uppsala University, P.O. Box 27, S-751 03, Uppsala, Sweden aut Stoica Petre Systems and Control Group, Uppsala University, P.O. Box 27, S-751 03, Uppsala, Sweden aut Söderström Torsten Systems and Control Group, Uppsala University, P.O. Box 27, S-751 03, Uppsala, Sweden aut Circuits, Systems and Signal Processing Birkhäuser-Verlag 15/3(1996-05-01), 377-393 0278-081X 15:3<377 1996 15 34 https://doi.org/10.1007/BF01182593 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/BF01182593 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kangas Ari Systems and Control Group, Uppsala University, P.O. Box 27, S-751 03, Uppsala, Sweden aut NATIONALLICENCE 700 1- Stoica Petre Systems and Control Group, Uppsala University, P.O. Box 27, S-751 03, Uppsala, Sweden aut NATIONALLICENCE 700 1- Söderström Torsten Systems and Control Group, Uppsala University, P.O. Box 27, S-751 03, Uppsala, Sweden aut NATIONALLICENCE 773 0- Circuits, Systems and Signal Processing Birkhäuser-Verlag 15/3(1996-05-01), 377-393 0278-081X 15:3<377 1996 15 34 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer