Underdetermined High-Resolution DOA Estimation: A 2 rho th-Order Source-Signal/Noise Subspace Constrained Optimization

For estimating the direction of arrival (DOA) s of non-stationary source signals such as speech and audio, a constrained optimization problem (COP) that exploits the spatial diversity provided by an array of sensors is formulated in terms of a noise-eliminated local 2 rho th-order cumulant matrix. The COP solution provides a weight vector to the look direction such that it is constrained to the 2 rho th-order source-signal subspace when the look direction is in alignment with the true DOA; otherwise, it is constrained to the 2 rho th-order noise subspace. This weight vector is incorporated into the spatial spectrum to determine the degree of orthogonality between itself and either the 2 rho th-order source-signal subspace when the number of sources is unknown, or the 2 rho th-order noise subspace when the number of sources is known. For a uniform linear array (ULA) of M sensors, the spatial spectrum for known number of sources can theoretically be shown to identify up to 2 rho(M - 1) sources. Realizing the difficulty in identifying stationarity in the received sensor signals, the estimate of the noise-eliminated local 2 rho th-order cumulant matrix is marginalized over various possible stationary segmentations, for a more robust DOA estimation. In this paper, we focus on the use of local second and fourth order cumulants (rho = 1, 2), and the proposed algorithms when rho = 1 outperformed the KR subspace-based algorithms and also the 4-MUSIC for globally non-stationary, non-Gaussian synthetic data and also for speech/audio in various adverse environments. We verified that the identifiability for rho = 2 is improved by two-folds compared to that for rho = 1 with an ULA.
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Issue Date
2015-04
Language
ENG
Keywords

HIGHER-ORDER STATISTICS; VIRTUAL ARRAY CONCEPT; SOURCE LOCALIZATION; WIDE-BAND; SIGNALS; MUSIC; ARRIVAL; NUMBER

Citation

IEEE TRANSACTIONS ON SIGNAL PROCESSING, v.63, no.7, pp.1858 - 1873

ISSN
1053-587X
DOI
10.1109/TSP.2015.2401531
URI
http://hdl.handle.net/10203/196057
Appears in Collection
EE-Journal Papers(저널논문)
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