Abstract
Root-MUSIC (MUltiple SIgnal Classification) is the polynomial rooting form of MUSIC, namely, the spectrum peak searching is resplaced by the polynomial rooting in MUSIC implementation. The coefficients finding of the polynomial is the critical problem for Root-MUSIC and its improvements. By analyzing the Root-MUSIC algorithm thoughly, the finding method of the polynomial coefficient is deduced and the concrete calculation formula is given, so that the speed of polynomial finding roots will get the bigger exaltation. The particular simulations are given and attest correctness of the theory analysis and also indicate that the proposed algorithm has preferable estimating performance.
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References
A. J. Barabell. Improving the resolution performance of eigenstructure-based direction-finding algorithms. Proceedings of ICASSP’83, IEEE International Conference on Acoustics, Speech and Signal Processing, Boston, MA, USA, 1983, Vol.1, 336–339.
R. Kumaresan and D. W. Tufts. Estimating the angles of arrival of multiple plane waves. IEEE Transactions on Aerospace and Electronic Systems, AES-19 (1983)1, 134–139.
B. Bao and K. Hari. Performance analysis of root-MUSIC. IEEE Transactions on Signal Processing, SP-37(1989)12, 1939–1949.
F. Li and R. J. Vaccaro. Analytical performance prediction of subspace-based algorithms for DOA estimation. In SVD and Signal Processing II, Algorithms, Analysis and Applications. Elsevier, New York, 1991, Ch.3.
X. L. Xu and K. M. Buckley. Reduced dimension beamspace broad-band localization, preprocessor design and evaluation. Proceedings of IEEE Forth Workshop on Spectrum Estimation and Modeling, Minneapolis, MN, USA, 1988, 22–26.
Ta Sung Lee. Fast implementation of root-form eigen-based methods for detecting closely spaced sources. IEE Proceedings-F, 139(1992)4, 33–36.
R. M. Shubair. An accurate reduced-order polynomial solution for Root-MUSIC source localization using displaced sensor arrays. Applied Computational Electromagnetics Society Journal, 23(2008)3, 270–275.
M. Rubsamen and A. B. Gershman. Direction-of-arrival estimation for nonuniform sensor arrays: From manifold separation to Fourier domain MUSIC methods. IEEE Transactions on Signal Processing, 57(2009)2, 588–599.
W. Wasylkiwskyj and I. Kopriva. Second and fourth order statistics-based reduced polynomial rooting direction finding algorithms. Signal Processing, 89 (2009)6, 1050–1060.
Q. S. Ren and A. J. Willis. Extending MUSIC to single snapshot and on line direction finding applications. International Radar Conference, Stevenage, United Kingdom, Oct. 1997, 783–787.
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Supported by the National Outstanding Young Foundation (No.60825104) and the National Natural Science Foundation of China (No.60736009).
Communication author: Liu Xiaojun, born in 1964, male, Ph.D. candidate.
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Liu, X., Liu, C. & Liao, G. Polynomial coefficient finding for Root-MUSIC. J. Electron.(China) 26, 543–548 (2009). https://doi.org/10.1007/s11767-009-0064-9
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DOI: https://doi.org/10.1007/s11767-009-0064-9
Key words
- Direction Of Arrival (DOA) estimation
- Root-MUSIC (MUltiple SIgnal Classification)
- Polynomial coefficient finding