Abstract
A novel spatial spectrum estimation method for two-dimensional wideband signals by sparse reconstruction in continuous domain is addressed in this paper. First, Discrete Fourier Transform (DFT) is employed for the data. Then the convex and corresponding dual problems of the data with most power are founded and solved. After that the sparse support sets are decided by semidefinite program and extracting roots. Finally, both of the direction of arrival (DOA) and the primary signals are determined. The proposed idea averts the off-grid effect based on grid partition, and some theoretical results are included to explain the effectiveness of the method.
This work was supported by the National Natural Science Foundation of China under Grant No. 61501176 and 61505050, University Nursing Program for Young Scholars with Creative Talents in Heilongjiang Province (UNPYSCT-2016017), China Postdoctoral Science Foundation (2014M561381), Heilongjiang Province Postdoctoral Foundation (LBH-Z14178), Heilongjiang Province Natural Science Foundation (F2015015), Outstanding Young Scientist Foundation of Heilongjiang University (JCL201504) and Special Research Funds for the Universities of Heilongjiang Province (HDRCCX-2016Z10).
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References
Yang, Z., Xie, L., Zhang, C.: Off-grid direction of arrival estimation using sparse Bayesian inference. IEEE Trans. Sig. Process. 61, 38–43 (2013)
Azais, J.M., De Castro, Y., Gamboa, F.: Spike detection from inaccurate samplings. Appl. Comput. Harmonic Anal. 38, 177–195 (2015)
Amin, M.G., Wang, X.R., Zhang, Y.D.: Sparse arrays and sampling for interference mitigation and DOA estimation in GNSS. Proc. IEEE 104, 1302–1317 (2016)
Dai, J.S., Bao, X., Xu, W.C.: Root sparse bayesian learning for off-grid DOA estimation. IEEE Sig. Process. Lett. 24, 46–50 (2017)
Hu, N., Sun, B., Zhang, Y.: Underdetermined DOA estimation method for wideband signals using joint nonnegative sparse Bayesian learning. IEEE Sig. Process. Lett. 24, 535–539 (2017)
Malioutov, D., Cetin, M., Willsky, A.S.: A sparse signal reconstruction perspective for source localization with sensor arrays. IEEE Trans. Sig. Process. 53, 3010–3022 (2005)
Tang, Z.J., Blacquiere, G., Leus, G.: Aliasing-free wideband beam forming using sparse signal representation. IEEE Trans. Sig. Process. 59, 3464–3469 (2011)
Yin, J.H., Chen, T.Q.: Direction-of-arrival estimation using a sparse representation of array covariance vectors. IEEE Trans. Sig. Process. 59, 4489–4493 (2011)
Heidem, T., Cai, G., Xu, Z.: On recovery of sparse signals via l1 minimization. IEEE Trans. Inf. Theory 55, 3388–3397 (2010)
Pavlidi, D., Griffin, A., Puigt, M.: Real-time multiple sound source localization and counting using a circular microphone array. IEEE Trans. Audio Speech Lang. Process. 21, 2193–2206 (2013)
Carlin, M., Rocca, P., Oliveri, G.: Directions-of-arrival estimation through Bayesian compressive sensing strategies. IEEE Trans. Antennas Propag. 61, 3828–3838 (2013)
Candes, E.J., Fernandez, G.C.: Towards a mathematical theory of super-resolution. Commun. Pure Appl. Math. 67, 906–956 (2012)
Candes, E.J., Fernandez, G.C.: Super-resolution from noisy data. J. Fourier Anal. Appl. 19, 1229–1254 (2013)
Boyd, S., Vandenberghe, L.: Convex Optimization. Cambridge University Press, Cambridge (2004)
CVX: MATLAB software for disciplined convex programming, version 1.22. http://cvxr.com/cvx
Valaee, S., Kabal, P.: Wideband array processing using a two-sided correlation transformation. IEEE Trans. Sig. Process. 43, 160–172 (1995)
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© 2018 ICST Institute for Computer Sciences, Social Informatics and Telecommunications Engineering
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Zhen, J., Li, Y. (2018). Spatial Spectrum Estimation for Wideband Signals by Sparse Reconstruction in Continuous Domain. In: Sun, G., Liu, S. (eds) Advanced Hybrid Information Processing. ADHIP 2017. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 219. Springer, Cham. https://doi.org/10.1007/978-3-319-73317-3_43
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