Title :
Alternatives for the definition and evaluation of resolution thresholds of signal-subspace parameter estimators
Author :
Xu, Wenyuan ; Kaveh, Mostafa
Author_Institution :
Dept. of Electr. Eng., Minnesota Univ., Minneapolis, MN, USA
Abstract :
This paper presents a formal probabilistic definition for the resolution capability of a general class of MUSIC-like direction estimators. An estimator in this class has its structure based on a one-dimensional search of the minima of an optimizing functional, usually termed the estimator null-spectrum. Following a rigorous definition of probability of resolution, various levels of approximation in the statistics employed are used to obtain computable expressions for resolution probabilities of two closely-spaced sources. These approximations are related to previously proposed definitions for resolution probability and in this manner clarify the conditions under which these ad-hoc definitions hold true
Keywords :
direction-of-arrival estimation; optimisation; probability; statistics; MUSIC-like direction estimators; closely-spaced sources; estimator -spectrum; one-dimensional search; optimizing functional; probabilistic definition; resolution thresholds; signal-subspace parameter estimators; statistics; Covariance matrix; Data models; Direction of arrival estimation; Multiple signal classification; Parameter estimation; Performance analysis; Probability distribution; Root mean square; Signal resolution; Statistics;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-1775-0
DOI :
10.1109/ICASSP.1994.389837
