Abstract
Direction-of-arrival (DOA) estimation with nonuniform linear arrays (NLA) using the sparse data model is considered. Different with the usually used sparse data model, we introduce a linear interpolation operator which can transform the data of the NLA to the data of a virtual uniform linear array (VULA). We first reduce the dimension of the model using the singular value decomposition technique, next recover the solution of the reduced MMV using a compressed sensing (CS) algorithm, then get the data of the VULA using the recovery result and the linear interpolation operator, and lastly use root-MUSIC to estimating DOA. The method is called CS-RMUSIC. The experiments illustrate the good efficiency of the CS-RMUSIC algorithm.
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Tuncer TE, Friedlander B (2009) Classical and modern direction-of-arrival estimation. Academic Press, New York
Van Trees HL (2002) Optimum array processing. Wiley, NewYork
El Kassis C, Picheral J, Mokbel C (2010) Advantages of nonuniform arrays using root-MUSIC. Signal Process 90:689–695
Weiss AJ, Garish M (1991) Direction finding using ESPRIT with interpolated arrays. IEEE Trans Signal Process 39:1473–1478
Friedlander B (1993) The root-MUSIC algorithm for direction finding with interpolated arrays. Signal Process 30:15–25
Friedlander B, Weiss AJ (1992) Direction finding using spatial smoothing with interpolated arrays. IEEE Trans Aerosp Electron Syst 28:574–587
Donoho DL (2006) Compressed sensing. IEEE Trans Inf Theory 52:1289–1306
Candès EJ, Wakin MB (2008) An introduction to compressive sampling. IEEE Signal Process Mag 25:21–30
Malioutov D, Cetin M, Willsky AS (2005) A sparse signal reconstruction perspective for source localization with sensor arrays. IEEE Trans Signal Process 53:3010–3022
Liu ZM, Huang ZT, Zhou YY, Liu J (2012) Direction-of-arrival estimation if non-circular signals via sparse representation. IEEE Trans Aerosp Electron Syst 48:2690–2698
Chen J, Huo X (2006) Theoretical results on sparse representations of multiple measurement vectors. IEEE Trans Signal Process 54:4634–4643
Kim JM, Lee OK, Ye JC (2012) Compressive MUSIC: revisiting the link between compressive sensing and array signal processing. IEEE Trans Inf Theory 58:278–301
Stoica P, Nehorai A (1989) MUSIC, maximum likelihood and Cramer-Rao bound. IEEE Trans Acoust Speech Signal Process 37:720–741
Acknowledgements
The work was supported in part by the National Natural Science Foundation of China under grants 61271014, 61072118 and 11101430.
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© 2013 Springer-Verlag Berlin Heidelberg
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Du, X., Xu, X., Cheng, L. (2013). DOA Estimation for Nonuniform Linear Arrays Using Root-MUSIC with Sparse Recovery Method. In: Yin, Z., Pan, L., Fang, X. (eds) Proceedings of The Eighth International Conference on Bio-Inspired Computing: Theories and Applications (BIC-TA), 2013. Advances in Intelligent Systems and Computing, vol 212. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-37502-6_47
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DOI: https://doi.org/10.1007/978-3-642-37502-6_47
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