Evaluating Cramer-Rao Bound for Conformal Antenna Arrays with Directional Emitters for Doa-Estimation

Authors

DOI:

https://doi.org/10.20535/RADAP.2018.75.16-24

Keywords:

radio remote control, super-resolution, digital antenna array, circular antenna arrays, directional emitters, directivity

Abstract

Introduction. The direction-of-arrival estimation of signal sources is of serious research interest in various fields. As an example, the coordinate information in three-dimensional space can be used for spatial diversity and filtering to increase concurrent users. The influence of the directivity coefficient of a separate antenna element on the accuracy of determining the angular coordinates of radio sources of circular, cubic and spherical antenna arrays consisting of directional radiating elements that have found the widest application in modern wireless communication technologies is investigated.
Theoretical results. For the correct functioning of advanced radio direction-finding algorithms along with the antenna arrays under consideration the accurate expressions describing the amplitude-phase distribution of the electromagnetic field of the arrays have been derived, so-called steering vectors. The Cramer-Rao lower bound for estimating errors and accuracy of direction-of-arrival estimation is discussed for a number planar waves arriving on an antenna array consisting of directional elements.
Experimental results. A theoretical study of the operation of these antenna arrays using the Cramer-Rao lower bound was carried out, as well as computer simulations with the implementation of the MUSIC superresolution method. The influence of the directivity factor of the individual antenna element on the accuracy of the direction-of-arrival estimation of the radio emission sources by using the circular (cylindrical), cubic and spherical antenna arrays consisting of the directional antenna elements was investigated. The limits of the change of the coefficient of directional action of a separate element, at which the maximum accuracy of an estimation of angular coordinates is achieved, is determined. It is shown that further increasing the directivity factor of each antenna element makes the mean square error in the determination of the coordinates of the signals increase as well. The estimation of the resolution of conformal antenna arrays is carried out depending on the directional factor of each antenna coefficient. It is found that the best configuration is spherical.
Conclusions. Thus, a comprehensive statistical analysis of radio direction finding with the azimuth and elevation for the conformal antennas depending on the directivity of the antenna elements constituting them was implemented. With an increase in the gain of individual antennas, the accuracy of direction finding can vary significantly depending on the azimuthal position of the signal and an acceptable choice of directional coefficient is four to six.

Author Biographies

Yu. B. Nechaev, Voronezh State University

Nechaev Yu. B.

I. V. Peshkov, Elets State University

Peshkov I. W.

N. A. Fortunova, Bunin Yelets State University

Fortunova N. A., Cand. of Sci (Techn), Assoc. Prof.

References

Список литературы

Chetan R. Dongarsane Simulation study on DOA estimation using MUSIC algorithm / R. Dongarsane Chetan, A. N. Jadhav // Intl. J. Tech. Eng. Sys. - 2011 - Vol. 2, No. 1.

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

Chen Sun Direction of arrival estimation based on a single port smart antenna using MUSIC algorithm with periodic signals / Chen Sun, N. C. Karmakar // Intl. J. Signal Process. - Vol. 1, No. 3. - pp. 153-162.

Schmidt R.O. Multiple emitter location and signal parameter estimation / R. O. Schmidt // IEEE Trans. Antennas Propagat. - 1986. - Vol. 34. - pp. 276-280.

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

Cadzow J.A. A high resolution direction-of-arrival algorithm for narrow-band coherent and incoherent sources / J. A. Cadzow // IEEE Trans. Acoust., Speech, Signal Process. - 1998. - Vol. 36, No. 7. - pp. 965-979.

Abouda A. Impact of antenna array geometry on MIMO channel eigenvalues / A. Abouda, H. M. El-Sallabi, and S. G. Haggman // Proc. IEEE Intl. Symp. on Personal, Indoor and Mobile Radio Comm. - 2005. - Vol. 1. - pp. 568-572.

Нечаев Ю.Б. Построение кольцевых, восьмигранных, шестигранных и четырехгранных антенных решеток для радиопеленгации методом MUSIC / Ю.Б. Нечаев, И.В. Пешков // Радиотехника. - 2016. - №. 6. - С. 137-142.

Wu B.Realization and simulation of DOA estimation using MUSIC algorithm with uniform circular arrays / B. Wu // The 4th Asia-Pacific Conf. on Environmental Electromagnetics. - 2006. - pp. 908–91.

Нечаев Ю.Б. Оценка границы Крамера-Рао для 2D радиопеленгации в плоских антенных решетках / Ю.Б. Нечаев, И.В. Пешков// Вестник НТУ ``КПИ''. Серия Радиотехника, Радиоаппаратостроение. - 2016. - Вып. 67. - с. 12–17.

Jackson R. Direction of arrival estimation using directive antennas in uniform circular arrays / Jackson, Brad R., Sreeraman Rajan, Bruce J. Liao, and Sichun Wang // IEEE Transactions on Antennas and Propagation. - 2015. - Vol. 63, no. 2. - pp. 736-747.

Mohammadi S. Direction of Arrival Estimation in Conformal Microstrip Patch Array Antenna / S. Mohammadi, A. Ghani, S. H. Sedighy // IEEE Transactions on Antennas and Propagation. - 2018. - Vol. 66, Iss.1. - pp. 511–515.

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

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

References

Chetan R.D. and Jadhav A.N. (2011) Simulation study on DOA estimation using MUSIC algorithm. Intl. J. Tech. Eng. Sys., Vol. 2, no. 1., pp. 54-57.

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

Sun C. and Karmakar N. C. (2004) Direction of arrival estimation based on a single port smart antenna using MUSIC algorithm with periodic signals. International Journal of Signal Processing, Vol. 1, No 2, pp. 153-162.

Schmidt R. (1986) Multiple emitter location and signal parameter estimation. IEEE Transactions on Antennas and Propagation, Vol. 34, Iss. 3, pp. 276-280. DOI: 10.1109/tap.1986.1143830

Belhoul F., Shubair R. and Ai-Mualla M. (2003) Modelling and performance analysis of DOA estimation in adaptive signal processing arrays. 10th IEEE International Conference on Electronics, Circuits and Systems, 2003. ICECS 2003. Proceedings of the 2003. DOI: 10.1109/icecs.2003.1302046

Cadzow J. (1988) A high resolution direction-of-arrival algorithm for narrow-band coherent and incoherent sources. IEEE Transactions on Acoustics, Speech, and Signal Processing, Vol. 36, Iss. 7, pp. 965-979. DOI: 10.1109/29.1618

Abouda A., El-Sallabi H. and Haggman S. (2005) Impact of Antenna Array Geometry on MIMO Channel Eigenvalues. 2005 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications. DOI: 10.1109/pimrc.2005.1651500

Nechaev Yu.B. and Peshkov I.V. (2016) Building circular, octagonal, hexagonal and rectangular antenna arrays for direction-of-arrival via superresolutional method MUSIC. Radiotekhnika-Radioengineering, No 6, pp. 137-142.

Bo W. (2006) Realization and Simulation of DOA estimation using MUSIC Algorithm with Uniform Circular Arrays. The 2006 4th Asia-Pacific Conference on Environmental Electromagnetics. DOI: 10.1109/ceem.2006.258099

Nechaev Yu. B. and Peshkov I. V. (2016) Evaluating Cramer-Rao Bound for 2D direction-finding via planar antenna arrays. Visn. NTUU KPI, Ser. Radioteh. radioaparatobuduv., Iss. 67, pp. 12-17. DOI: 10.20535/RADAP.2016.67.12-17

Jackson B.R., Rajan S., Liao B.J. and Wang S. (2015) Direction of Arrival Estimation Using Directive Antennas in Uniform Circular Arrays. IEEE Transactions on Antennas and Propagation, Vol. 63, Iss. 2, pp. 736-747. DOI: 10.1109/tap.2014.2384044

Mohammadi S., Ghani A. and Sedighy S.H. (2018) Direction-of-Arrival Estimation in Conformal Microstrip Patch Array Antenna. IEEE Transactions on Antennas and Propagation, Vol. 66, Iss. 1, pp. 511-515. DOI: 10.1109/tap.2017.2772085

Chan A. (1995) 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. DOI: 10.1049/ip-rsn:19951756

Nechaev Yu.B., Algazinov E.K. and Peshkov I.W. (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). DOI: 10.1109/tsp.2018.8441419

Published

2018-12-30

How to Cite

Нечаев, Ю. Б., Пешков, И. В. and Фортунова, Н. А. (2018) “Evaluating Cramer-Rao Bound for Conformal Antenna Arrays with Directional Emitters for Doa-Estimation”, Visnyk NTUU KPI Seriia - Radiotekhnika Radioaparatobuduvannia, 0(75), pp. 16-24. doi: 10.20535/RADAP.2018.75.16-24.

Issue

Section

Electrodynamics. Microwave devices. Antennas