Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/29800
Title: Virtual-manifold ambiguity in HOS-based direction-finding with electromagnetic vector-sensors
Authors: Xu, Y
Liu, Z
Wong, KT 
Cao, J
Keywords: Arrays
Electromagnetics
Estimation
Manifolds
Navigation
Upper bound
Vectors
Issue Date: 2008
Publisher: Institute of Electrical and Electronics Engineers
Source: IEEE transactions on aerospace and electronic systems, 2008, v. 44, no. 4, p. 1291-1308 How to cite?
Journal: IEEE transactions on aerospace and electronic systems 
Abstract: Herein derived are the lower and upper bounds for the number of linearly independent (2Q)th-order virtual steering vectors of an array of electromagnetic vector-sensors, with Q being any positive integer over one. These bounds help determine the number of non-Gaussian signals whose directions-of-arrival (DOAs) can be uniquely identified from (2Q)th-order statistics data. The derived lower bounds increase with Q, whereas the derived upper bounds often fall below the maximum number of virtual sensors achievable from (2Q)th-order statistics manipulation. These bounds are independent of the permutation of the (2Q)th-order statistics entries in the higher order cumulant matrix that has a similar algebraic structure of the classical covariance matrix used in the second-order subspace-based direction-finding algorithms.
URI: http://hdl.handle.net/10397/29800
ISSN: 0018-9251
DOI: 10.1109/TAES.2008.4667710
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