Title
Instability in DOA manifold ambiguity resolution
Abstract
We discuss the instability conditions of direction-of-arrival (DOA) manifold ambiguity resolution for uncorrelated Gaussian sources and nonuniform linear antenna arrays. Manifold ambiguity is associated with linear dependence amongst the points on the array manifold (the “steering vectors”) where the number of sources is less than the number of sensors, or in the more general case, amongst the points on the co-array manifold. In our previous papers, we have demonstrated that such ambiguity renders subspace-based DOA estimation techniques (such as MUSIC) useless, but does not necessarily imply that the scenario is nonidentifiable. In those identifiable cases of manifold ambiguity, we have proposed a new fitting algorithm to identify the true DOAs from the superset of ambiguous DOA estimates generated by MUSIC. In this paper, we present analytic evidence that the stochastic stability of this identification technique (with respect to the finite sample size) depends on the precise scenario parameters, and may become unstable. We present simulation results that support the analytic predictions
Year
DOI
Venue
1999
10.1109/ISSPA.1999.815815
Signal Processing and Its Applications, 1999. ISSPA '99. Proceedings of the Fifth International Symposium
Keywords
Field
DocType
Gaussian processes,array signal processing,covariance matrices,direction-of-arrival estimation,linear antenna arrays,probability,signal resolution,stability,DOA manifold ambiguity resolution,co-array manifold,correct identification probability,covariance lag estimates,covariance matrix,direction of arrival,finite sample size,first-order perturbation analysis,fitting algorithm,identifiable cases,identification technique,instability conditions,linear dependence,nonuniform linear antenna arrays,sensors,simulation results,sources,steering vectors,stochastic stability,subspace-based DOA estimation,uncorrelated Gaussian sources
Subset and superset,Direction of arrival,Computer science,Artificial intelligence,Gaussian process,Ambiguity,Manifold,Subspace topology,Pattern recognition,Algorithm,Ambiguity resolution,Covariance matrix,Statistics
Conference
Volume
ISBN
Citations 
2
1-86435-451-8
0
PageRank 
References 
Authors
0.34
0
3
Name
Order
Citations
PageRank
Y. I. Abramovich18711.18
N. K. Spencer210412.20
Vladimir Gaitsgory37512.86