Title
Aliasing-free wideband beamforming using sparse signal representation
Author
Tang, Z.
Blacquière, G.
Leus, G.
Publication year
2011
Abstract
Sparse signal representation (SSR) is considered to be an appealing alternative to classical beamforming for direction-of-arrival (DOA) estimation. For wideband signals, the SSR-based approach constructs steering matrices, referred to as dictionaries in this paper, corresponding to different frequency components of the target signal. However, the SSR-based approach is subject to ambiguity resulting from not only spatial aliasing, just like in classical beamforming, but also from the over-completeness of the dictionary, which is typical to SSR. We show that the ambiguity caused by the over-completeness of the dictionary can be alleviated by using multiple measurement vectors. In addition, by considering the uniform linear array (ULA) structure, we argue that if the target signal contains at least two frequencies, whose absolute difference phrased in wavelengths is larger than twice the array spacing, the spatial aliasing corresponding to these frequencies will be completely distinct. These properties enable us to adapt the existing l1 algorithms to extract the target DOAs without ambiguity.
Subject
Physics & Electronics
AS - Acoustics & Sonar
TS - Technical Sciences
Physics
Orthogonal matching pursuit
Wideband beamforming
Direction of arrival estimation
Multiple-dictionary
Sparse signal representation
Spatial aliasing
Uniform linear arrays
Array processing
Time varying networks
Beamforming
To reference this document use:
http://resolver.tudelft.nl/uuid:608a8935-2f90-44e9-8801-f7c819889a2b
TNO identifier
430665
Source
IEEE Transactions on Signal Processing, 59 (7), 3464-3469
Document type
article