Performance Analysis of MUSIC, Root-MUSIC and ESPRIT DOA Estimation Algorithm

Direction of Arrival estimation refers to defining a mathematical function called a pseudospectrum that gives an indication of the angle a signal is impinging on the antenna array. This estimation is an efficient method of improving the quality of service in a communication system by focusing the reception and transmission only in the estimated direction thereby increasing fidelity with a provision to suppress interferers. This improvement is largely dependent on the performance of the algorithm employed in the estimation. Many DOA algorithms exists amongst which are MUSIC, Root-MUSIC and ESPRIT. In this paper, performance of these three algorithms is analyzed in terms of complexity, accuracy as assessed and characterized by the CRLB and memory requirements in various environments and array sizes. It is found that the three algorithms are high resolution and dependent on the operating environment and the array size. 

• N. P. Waweru
• D. B. O. Konditi
• P. K. Langat

• Direction of Arrival
• Autocorrelation matrix
• Eigenvalue decomposition
• MUSIC
• ESPRIT
• CRLB.

[1] S. Kamboj and R. Dahiya, "Adaptive antenna array for satellite
communication systems,” Proceedings of the International
Multiconference of Engineers and Computer Scientists, vol. 2,
March 2008,Hong Kong.
[2] A. Iozsa and A. Vesa, "Direction of arrival estimation for
uniform sensor arrays,” International Symposium on Electronics and
Telecommunication(ISETC), no. 978-1-4244-8460-7/10, 2010.
[3] A. Iozsa and A. Vesa, "The esprit algorithm. variants and
precision,” International Symposium on Electronics and
Telecommunication(ISETC), no. 978-1-4244-8460-7/10, 2010.
[4] A. A. Noori, S K. Gharghan, and A. A. Wahab, "Study of signal
estimation parameters via rotational invariance technique by using ants
colony optimization algorithm,” Eng. & Tech. Journal, vol. 29, no. 4,
pp. 736–749, 2011.
[5] M. Barkar, R. M. Vani, and P. V. Hunagund, "Eigen structures based
direction of arrival estimation algorithms for smart antennas systems,”
in IJCSNS International Journal of Computer Science and Network
Security, vol. 9, pp. 96–100, Nov 2009.
[6] Engin Tuncer and Benjamin Friedlander, Classical and Modern
Direction-of-Arrival Estimation, ch. 1, pp. 10–13. Elsevier Inc., 2009.
[7] Y. Wu, H. Liu, and H. C. So, "Fast and accurate direction-of-arrival
estimation for a single source,” Progress In Electromagnetics Research
C, vol. 6, pp. 13–20, 2009.
[8] A. Vesa, "Direction of arrival estimation using music and root-music
algorithm,” in 18th Telecommunication forum TELFOR, November
2010.
[9] X. Gu and Y. H. Zhang, "Resolution threshold analysis of music
algorithm in radar range imaging,” Progress In Electromagnetics
Research B, vol. 31, pp. 297–321, 2011.
[10] Z. Aliyazicioglu, H. K. Hwang, M. Grice, and A.Yakovlev, "Sensitivity
analysis for direction of arrival estimation using a root-music algorithm,”
Engineering Letters, vol. 13, pp. 353–360, 2008.
[11] C. R. Dongarsane, A. N. Jadhav, and S. M. Hirikude, "Performance
analysis of esprit algorithm for smart antenna system,” International
Journal of Communication Networks and Security, vol. 1, pp. 34–37,
2012.