TY - JOUR
T1 - Performance Analysis of Music-Type High Resolution Estimators for Direction Finding in Correlated and Coherent Scenes
AU - Unnikrishna Pillai, S.
AU - Kwon, Byung Ho
N1 - Funding Information:
Manuscript received December 20, 1987; revised November 30, 1988. This work was supported by the Office of Naval Research under Contract N-00014-86-K-0321. The authors are with the Department of Electrical Engineering and Computer Science, Polytechnic University, Brooklyn, NY 1 1201. IEEE Log Number 8928732.
PY - 1989/8
Y1 - 1989/8
N2 - This paper presents an asymptotic analysis of a class of high resolution estimators for resolving correlated and coherent plane waves in noise. These estimators are in turn constructed from certain eigenvectors associated with spatially smoothed (or unsmoothed) covariance matrices generated from a uniform array. The analysis is first carried out for the smoothed case, and from this the conventional MUSIC (unsmoothed) scheme follows as a special case. Independent of the total number of sources present in the scene, the variance of the conventional MUSIC estimator along the true arrival angles is shown to be zero within a first-order approximation. Further, the bias expressions in the smoothed case are used to obtain a resolution threshold for two coherent, equipowered plane waves in white noise, and the result is compared to the one derived by Kaveh et al. [13] for two uncorrelated, equipowered plane waves.
AB - This paper presents an asymptotic analysis of a class of high resolution estimators for resolving correlated and coherent plane waves in noise. These estimators are in turn constructed from certain eigenvectors associated with spatially smoothed (or unsmoothed) covariance matrices generated from a uniform array. The analysis is first carried out for the smoothed case, and from this the conventional MUSIC (unsmoothed) scheme follows as a special case. Independent of the total number of sources present in the scene, the variance of the conventional MUSIC estimator along the true arrival angles is shown to be zero within a first-order approximation. Further, the bias expressions in the smoothed case are used to obtain a resolution threshold for two coherent, equipowered plane waves in white noise, and the result is compared to the one derived by Kaveh et al. [13] for two uncorrelated, equipowered plane waves.
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U2 - 10.1109/29.31266
DO - 10.1109/29.31266
M3 - Article
AN - SCOPUS:0024714559
SN - 0096-3518
VL - 37
SP - 1176
EP - 1189
JO - IEEE Transactions on Acoustics, Speech, and Signal Processing
JF - IEEE Transactions on Acoustics, Speech, and Signal Processing
IS - 8
ER -