Abstract
Among direction-of-arrival (DOA) estimation algorithms with narrow-band sensor arrays, eigen-based decomposition algorithms are hard to meet the demand of real-time signal processing because of the huge computation. To solve the problem of computational load, we propose and analyze a fast and high-precision DOA estimation algorithm based on spatial Fourier coefficient iterative interpolation. This method is shown to achieve identical asymptotic performance by constructing and interpolating the modified value at the adjacent bins of the maximum in spatial spectrum. An optimization method to reduce the iteration times is also given. The simulation results show that the proposed algorithm may achieve the same estimation precision as MUSIC in certain condition without the huge computation.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
References
Petar, M.D.: Spatial Spectrum Estimation. Handbook on Array Processing and Sensor Networks. Wiley-IEEE Press (2010)
Schmidt, R.O.: Multiple emitter location and signal parameter estimation. IEEE Trans. Antennas Propag. 34(3), 276–280 (1986)
Roy, R., Kailath, T.: Esprit-estimation of signal parameters via rotational invariance techniques. IEEE Trans. Acoust. Speech Signal Process. 37(7), 984–995 (1989)
Goossens, R., Rogier, H.: Direction-of-arrival and polarization estimation with uniform circular arrays in the presence of mutual coupling. AEU – Int. J. Electron. Commun. 62(3), 199–206 (2008)
Cheng, Z., Sun, J., Hong, H.: Phase difference method for DOA estimation. J. Mar. Sci. Appl. 9(4), 445–450 (2010)
Porat, B., Friedlander, B.: Analysis of the asymptotic relative efficiency of the music algorithm. IEEE Trans. Acoust. Speech Signal Process. 36(4), 532–544 (1988)
Stoica, P., Arye, N.: Music, maximum likelihood, and Cramer-Rao bound. IEEE Trans. Acoust. Speech Signal Process. 37(5), 720–741 (1989)
Volder, J.E.: The cordic trigonometric computing technique. IRE Trans. Electron. Comput. EC-8(3), 330–334 (1959)
Puntanen, S., Styan, G.P.H., Isotalo, J.: Eigenvalue Decomposition. Matrix Tricks for Linear Statistical Models. Springer, Heidelberg (2011)
Acknowledgments
The work in this paper is funded by the National Natural Science Foundation of China (Grant No. 61571088).
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2019 Springer Nature Singapore Pte Ltd.
About this paper
Cite this paper
Liu, Y., Zhu, J., Jiang, K., Tang, B. (2019). Fast and High-Precision DOA Estimation by Iterative Interpolation on Spatial Fourier Coefficients. In: Liang, Q., Mu, J., Jia, M., Wang, W., Feng, X., Zhang, B. (eds) Communications, Signal Processing, and Systems. CSPS 2017. Lecture Notes in Electrical Engineering, vol 463. Springer, Singapore. https://doi.org/10.1007/978-981-10-6571-2_185
Download citation
DOI: https://doi.org/10.1007/978-981-10-6571-2_185
Published:
Publisher Name: Springer, Singapore
Print ISBN: 978-981-10-6570-5
Online ISBN: 978-981-10-6571-2
eBook Packages: EngineeringEngineering (R0)