On the design of the measurement matrix for Compressed Sensing based DOA estimation
Ibrahim M, Roemer F, Del Galdo G (2015)
Publication Type: Conference contribution
Publication year: 2015
Journal
Publisher: Institute of Electrical and Electronics Engineers Inc.
Book Volume: 2015-August
Pages Range: 3631-3635
Conference Proceedings Title: ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings
Event location: Brisbane, QLD, AUS
ISBN: 9781467369978
DOI: 10.1109/ICASSP.2015.7178648
Abstract
In this paper we investigate the design of the measurement matrix for applying Compressed Sensing (CS) to the problem of Direction Of Arrival (DOA) estimation with antenna arrays. So far, it has been suggested to choose the coefficients randomly since this choice satisfies the restricted isometry property (RIP) with a high probability. We demonstrate that this choice may be sub-optimal since it can result in an effective array with significant sidelobes and blind spots. The sidelobes are especially problematic when we use correlation-based greedy algorithms for the sparse recovery stage as they can lead to detecting spurious peaks. To address the problem, we introduce a design methodology for constructing a measurement matrix that mitigates these unwanted effects to achieve a better DOA estimation performance. Numerical results demonstrate the usefulness of our design.
Involved external institutions
Germany (DE)How to cite
APA:
Ibrahim, M., Roemer, F., & Del Galdo, G. (2015). On the design of the measurement matrix for Compressed Sensing based DOA estimation. In ICASSP, IEEE International Conference on Acoustics, Speech and Signal Processing - Proceedings (pp. 3631-3635). Brisbane, QLD, AUS: Institute of Electrical and Electronics Engineers Inc..
MLA:
Ibrahim, Mohamed, Florian Roemer, and Giovanni Del Galdo. "On the design of the measurement matrix for Compressed Sensing based DOA estimation." Proceedings of the 40th IEEE International Conference on Acoustics, Speech, and Signal Processing, ICASSP 2015, Brisbane, QLD, AUS Institute of Electrical and Electronics Engineers Inc., 2015. 3631-3635.
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