NDLI: Unitary Root MUSIC and Unitary MUSIC with Real-Valued Rank Revealing Triangular Factorization

Content Provider	IEEE Xplore Digital Library
Author	Tayem, Nizar Naraghi-Pour, Mort
Copyright Year	2007
Description	Author affiliation: Department of Electrical and Computer Engineering, Louisiana Sate University, Baton Rouge, LA 70803 (Tayem, Nizar) \|\| Department of Electrical and Computer Engineering, Louisiana Sate University, Baton Rouge, LA 70803. Tel: (225) 578-5551, Fax (225) 978-5200, Email: mort@ece.lsu.edu (Naraghi-Pour, Mort)
Abstract	This paper presents two methods to estimate the two dimensional (2-D) direction of arrival (DOA) for coherent and non-coherent sources. The proposed methods have many advantages over existing schemes. First, they construct the data from a single snapshot in a Toeplitz form, whose rank is directly related to the DOA of signals, whether the signals are coherent or not; hence, the algorithm does not require any forward/backward spatial smoothing. Second, the two proposed methods can rapidly estimate the 2-D DOAs of incident signals without requiring singular value decomposition (SVD) or eigenvalue decomposition (EVD), even in the case of coherent signals and a single snapshot. The two methods are: (1) orthogonal projection real-valued rank revealing QR factorization (OPRRRQR), and (2) orthogonal projection real-valued rank revealing LU factorization (OP-RRRLU). The proposed methods reduce computational complexity and the cost at least by a factor of four by applying a unitary transformation, to the complex Toeplitz form to real data without forming the covariance matrix. The proposed algorithms employ the unitary root MUSIC and unitary MUSIC using cross array configuration to estimate the 2-D DOA azimuth and elevation angles without using the extensive 2-D MUSIC search. Hence, they can reduce the computational load and cost significantly and can be applied in real-time radar/sonar and commercial wireless systems. The simulation results show that the proposed algorithms can efficiently estimate the 2-D DOAs from different sources.
Starting Page	1
Ending Page	7
File Size	2454812
Page Count	7
File Format	PDF
ISBN	9781424415120
DOI	10.1109/MILCOM.2007.4454816
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2007-10-29
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Multiple signal classification Direction of arrival estimation Two dimensional displays Smoothing methods Singular value decomposition Eigenvalues and eigenfunctions Computational complexity Costs Covariance matrix Azimuth
Content Type	Text
Resource Type	Article

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4	Project PI / Joint PI	Principal Investigator and Joint Principal Investigators of the project	Dr. B. Sutradhar bsutra@ndl.gov.in Prof. Saswat Chakrabarti will be added soon
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