Direction-of-Arrival Estimation of Wideband Signals via Covariance Matrix Sparse Representation
- 9 June 2011
- journal article
- Published by Institute of Electrical and Electronics Engineers (IEEE) in IEEE Transactions on Signal Processing
- Vol. 59 (9), 4256-4270
- https://doi.org/10.1109/tsp.2011.2159214
Abstract
This paper focuses on direction-of-arrival (DOA) estimation of wideband signals, and a method named wideband covariance matrix sparse representation (W-CMSR) is proposed. In W-CMSR, the lower left triangular elements of the covariance matrix are aligned to form a new measurement vector, and DOA estimation is then realized by representing this vector on an over-complete dictionary under the constraint of sparsity. The a priori information of the incident signal number is not needed in W-CMSR, and no spectral decomposition or focusing is introduced. Simulation results demonstrate the satisfying performance of W-CMSR in wideband DOA estimation in various settings. Moreover, theoretical analysis and numerical examples show how many simultaneous signals can be separated by W-CMSR on typical array geometries, and that the half-wavelength spacing restriction in avoiding ambiguity can be relaxed from the highest to the lowest frequency of the incident wideband signals.Keywords
This publication has 19 references indexed in Scilit:
- Computational Methods for Sparse Solution of Linear Inverse ProblemsProceedings of the IEEE, 2010
- L1-L2 Optimization in Signal and Image ProcessingIEEE Signal Processing Magazine, 2010
- A Robust Algorithm for Joint-Sparse RecoveryIEEE Signal Processing Letters, 2009
- TOPS: new DOA estimator for wideband signalsIEEE Transactions on Signal Processing, 2006
- Just relax: convex programming methods for identifying sparse signals in noiseIEEE Transactions on Information Theory, 2006
- On the application of the global matched filter to DOA estimation with uniform circular arraysIEEE Transactions on Signal Processing, 2001
- Atomic Decomposition by Basis PursuitSIAM Review, 2001
- Two decades of array signal processing research: the parametric approachIEEE Signal Processing Magazine, 1996
- On focusing matrices for wide-band array processingIEEE Transactions on Signal Processing, 1992
- Minimum-redundancy linear arraysIEEE Transactions on Antennas and Propagation, 1968