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Obtaining the Optimal Shape of Planar Antenna Arrays for Direction-of-Arrival Joint Estimation of One and Two Coordinates of Signal Sources on Azimuth


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DOI: https://doi.org/10.15866/irecap.v9i2.16814

Abstract


In this paper, an approach for obtaining optimal planar antenna arrays consisting of omnidirectional sensors for the direction-of-arrival estimation is proposed. Exact expressions of the Cramer-Rao lower bound are used. The obtained formulas describe the influence of the location of antenna elements on the accuracy of the direction-of-arrival non-joint estimation for one arriving signal and joint estimation with two signal sources. It has been shown that the accuracy of the direction-of-arrival non-joint estimation is determined as the sum of the squares of the differences between all the coordinates of omnidirectional elements along x- and y-axis if one signal arrives. If two signals arrive, the accuracy of the direction-of-arrival joint estimation depends on the sum of cosines having the argument with the difference between sensor coordinates and signals radius-vectors. The optimal locations of the antenna elements using the obtained expressions can be calculated very easily in order to reduce the direction-finding errors near particular sectors. In order to confirm the proposed methodology the optimal antenna arrays constructed after minimization of the new formulas are researched. It is found out that the new shapes of antenna arrays based on the analytical expressions have better direction-of-arrival accuracy in comparison with the circular ones.
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Keywords


Antenna Arrays; Phased Arrays; Omnidirectional Antennas; Direction-Of-Arrival Estimation; Estimation Error

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References


Elkamchouchi, H., Mohamed, D., Mohamed, O., Ali, W., Multiuser Detection Using Blind Robust Beamforming in Multipath Environment for LTE System, (2016) International Journal on Communications Antenna and Propagation (IRECAP), 6 (5), pp. 291-298.
https://doi.org/10.15866/irecap.v6i5.10006

Samarah, K., Localization of Mobile Stations from ONE Base Station in GSM Systems, (2016) International Review on Computers and Software (IRECOS), 11 (5), pp. 427-435.
https://doi.org/10.15866/irecos.v11i5.9367

Hosseini, S.M., Sadeghzadeh, R.A. & Virdee, B.S. (2017) DOA estimation using multiple measurement vector model with sparse solutions in linear array scenarios. Wireless Com Network 2017: 58.
https://doi.org/10.1186/s13638-017-0838-y

D. Chetan, A.N. Jadhav, Simulation study on DOA estimation using MUSIC algorithm, Intl. J. Tech. Eng. Sys., vol. 2, no. 1, Mar. 2011.

K. Ikeda, J. Nagai, T. Fujita, H. Yamada, A. Hirata, and T. Ohira, DOA estimation by using MUSIC algorithm with a 9-elements rectangular ESPAR antenna, Proc. of Intl. Symp. on Antennas and Propagat., Aug. 2004, pp. 45-48.

Chen Sun, and N.C. Karmakar, Direction of arrival estimation based on a single port smart antenna using MUSIC algorithm with periodic signals,. Intl. J. Signal Process., vol. 1, no. 3, pp. 153-162.
https://doi.org/10.5281/zenodo.1071156

R.O. Schmidt, Multiple emitter location and signal parameter estimation, IEEE Trans. Antennas Propagat., vol. 34, pp. 276-280, 1986.
https://doi.org/10.1109/tap.1986.1143830

F.A. Belhoud, R.M. Shubair, and M.E. Al-Mualla, Modelling and performance analysis of DOA estimation in adaptive signal processing arrays, Proc. IEEE Intl. Conf. on Electron., Circuits and Sys., Dec. 2003, pp. 340-343.
https://doi.org/10.1109/icecs.2003.1302046

J.A. Cadzow, A high resolution direction-of-arrival algorithm for narrow-band coherent and incoherent sources, IEEE Trans. Acoust., Speech, Signal Process., vol. 36, no. 7, pp. 965-979, Jul. 1998.
https://doi.org/10.1109/29.1618

A. Abouda, H.M. El-Sallabi, and S. G. Haggman, Impact of antenna array geometry on MIMO channel eigenvalues, Proc. IEEE Intl. Symp. on Personal, Indoor and Mobile Radio Comm., vol. 1, Sep. 2005, pp. 568-572.
https://doi.org/10.1109/pimrc.2005.1651500

Chen, S. Guan, Y. Tong and L. Yan, "Two-Dimensional Direction of Arrival Estimation for Improved Archimedean Spiral Array With MUSIC Algorithm," in IEEE Access, vol. 6, pp. 49740-49745, 2018.
https://doi.org/10.1109/access.2018.2867460

Yu.B. Nechaev (2018, sep.). Estimation of the Cramer-Rao Bound for Radio Direction-Finding on the Azimuth and Elevation of Planar Antenna Arrays of the Symmetric Form. 2018 IEEE East-West Design & Test Symposium (EWDTS).
https://doi.org/10.1109/ewdts.2018.8524799

B. Wu (2006). Realization and simulation of DOA estimation using MUSIC algorithm with uniform circular arrays. The 4th Asia-Pacific Conf. on Environmental Electromagnetics, pp. 908–912.
https://doi.org/10.1109/ceem.2006.258099

Yu. B. Nechaev, I. V. Peshkov, Evaluating Cramer-Rao Bound for 2D direction-finding via planar antenna arrays, Visn. NTUU KPI, Ser. Radioteh. radioaparatobuduv., no. 67, pp. 12-17, 2016.
https://doi.org/10.20535/RADAP.2016.67.12-17

Gazzah, Houcem & Marcos, Sylvie. (2006). Cramer-Rao bounds for antenna array design. IEEE Transactions on Signal Processing, 54. 336 - 345.
https://doi.org/10.1109/tsp.2005.861091

Baysal, Ülkü & Moses, Randolph. (2003). On the geometry of isotropic arrays. IEEE Transactions on Signal Processing,. 51. 1469 - 1478.
https://doi.org/10.1109/tsp.2003.811227

Ghani, A. Keyvani, F. Sedighy, S. H. (2018). Antenna array placement on limited bound for isotropic and optimal direction-of-arrival estimation, IET Signal Processing, 12, (3), p. 277-283.
https://doi.org/10.1049/iet-spr.2016.0472

Thang Vu, Dinh & Renaux, Alexandre & Boyer, Rémy & Marcos, Sylvie. (2011). A Cramér Rao bounds based analysis of 3D antenna array geometries made from ULA branches. Multidimensional Systems and Signal Processing. 24.
https://doi.org/10.1007/s11045-011-0160-5

Yu.B. Nechaev, E. Algazinov, I. Peshkov (2018). Estimation of the Cramer-Rao Bound for Radio Direction-Finding on the Azimuth and Elevation of the Cylindical Antenna Arrays. 2018 41st International Conference on Telecommunications and Signal Processing (TSP).
https://doi.org/10.1109/tsp.2018.8441419

X. Yang, T. Long and T. K. Sarkar, Effect of geometry of planar antenna arrays on Cramer-Rao Bounds for DOA estimation, IEEE 10th International Conference On Signal Processing Proceedings, Beijing, 2010, pp. 389-392.
https://doi.org/10.1109/icosp.2010.5657183

A.Y.J. Chan, J. Litva, MUSIC and maximum likelihood techniques on two-dimensional DOA estimation with uniform circular array, IEE Proceedings - Radar, Sonar and Navigation, Vol.142, Iss. 3, pp. 105–114.
https://doi.org/10.1049/ip-rsn:19951756

N. Dowlut and A. Manikas, A polynomial rooting approach to superresolution array design, IEEE Trans. Signal Processing, vol. 48, pp. 1559–1569, June 2000. https://doi.org/10.1109/78.845915

Mohamed Ibrahim, Venkatesh Ramireddy, Anastasia Lavrenko, Jonas König, Florian Römer, Markus Landmann, Marcus Grossmann, Giovanni Del Galdo, Reiner S. Thomä, Design and analysis of compressive antenna arrays for direction of arrival estimation, Signal Processing, Volume 138, 2017, Pages 35-47.
https://doi.org/10.1016/j.sigpro.2017.03.013

Gazzah, Houcem & abed-meraim, Karim, Optimum Ambiguity-Free Directional and Omnidirectional Planar Antenna Arrays for DOA Estimation, IEEE Transactions on Signal Processing. 57. 3942 - 3953.
https://doi.org/10.1109/tsp.2009.2023943

Xin, Jinlong & Liao, Guisheng & Yang, Zhiwei & Shen, Haoming. (2018). Ambiguity Resolution for Passive 2-D Source Localization with a Uniform Circular Array. Sensors. 18. 2650.
https://doi.org/10.3390/s18082650

H. Moriya, etc., Novel 3-D Array Configuration based on CRLB Fromulation for High-Resolution DOA Estimation, Proceedings of ISAP 2012, Nagoya, Japan, pp.1140–1143.
https://doi.org/10.1109/ICoSP.2012.6491619

Ouamri, A., Ouamri, A., Keche, M., Low Complexity Method for DOA Estimation Based on Nystrom Method, (2017) International Journal on Communications Antenna and Propagation (IRECAP), 7 (3), pp. 239-245.
https://doi.org/10.15866/irecap.v7i3.10885

G.Liu,H.Chen,X.Sun, R.C.Qiu. Modified MUSIC Algorithm for DOA estimation With Nystrom Approximation, IEEE Sensors Journal. Volume. 16, (issue. 12), 2016, pages. 4673 – 4674.
https://doi.org/10.1109/jsen.2016.2557488


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