(Received: 11-Nov-2019, Revised: 31-Dec-2019 and 8-Jan-2020 , Accepted: 3-Feb-2020)
Thabet Mismar,
An accurate method for estimating the direction-of-arrival (DOA) jointly with the frequencies of an unknown number of source signals is proposed using the Eigen-approach. Using the minimum eigenvalues of the autocorrelation matrices produces both the DOA and the corresponding frequencies. By moving the roots produced from the eigenvector one-by-one, the angular location is first found. The frequency is then estimated using the same procedure. Finally, the frequency is used with the angular location to estimate the DOA angle. The results show an accurate estimation of source signals’ DOA and frequency in the presence of different levels of noise.
  1. L. Godara, "Application of Antenna Arrays to Mobile Communications, Part II: Beam-Forming and Direction-of-Arrival Considerations," IEEE Proceedings of the IEEE, vol. 85 (8), pp. 1195-1245, 1997.
  2. Z. Xiaofei, L. Wen, S. Ying, Z. Ruina and X. Dazhuan, "A Novel DOA Estimation Algorithm Based on Eigen Space", Proc. of 2007 International Symposium on Microwave, Antenna, Propagation and EMC Technologies for Wireless Communications, Hangzhou, China, 2007.
  3. R. Hudson and K. Yao, "A New Eigenvector-based 3D Wideband Acoustic DOA Estimator," Proc. of IEEE International Symposium on Phased Array Systems and Technology (PAST), Waltham, MA, USA, 2016.
  4. P. White, "Eigen-based DOA Estimators for Non-linear Array Configurations," Proc. of the International Conference on Acoustics, Speech and Signal Processing, Albuquerque, NM, USA, 1990.
  5. A. Liu, X. Zhang, Q. Yang and W. Deng, "Fast DOA Estimation Algorithms for Sparse Uniform Linear Array With Multiple Integer Frequencies," IEEE Access, vol. 6, pp. 29952-29965, Available: 10.1109/access.2018.2842262, 2018.
  6. D. Abu-Al-Nadi, M. Mismar and T. Ismail, "An Eigen-approach for Estimating the Direction-of Arrival (DOA) of Unknown Number of Signals," International Journal of Electrical and Computer Engineering, vol. 10, no. 9, pp. 1245-1248, Available: 10.5281/zenodo.1126702, 2016.
  7. S. Elaraby, H. Soliman, H. Abdel-Atty and M. Mohamed, "Joint 2D-DOA and Carrier Frequency Estimation Technique Using Nonlinear Kalman Filters for Cognitive Radio," IEEE Access, vol. 5, pp. 25097-25109, Available: 10.1109/access.2017.2768221, 2017.
  8. D. Ariananda and G. Leus, "Compressive Joint Angular-frequency Power Spectrum Estimation," Proc. of the 21st European Signal Processing Conference (EUSIPCO 2013), Marrakech, Morocco, 2013. 
  9. D. Ariananda and G. Leus, "Compressive Joint Angular-frequency Power Spectrum Estimation for Correlated Sources," Prosiding Seminar Sistem Telekomunikasi Dan Informasi (SSTI), Jakarta, 2014. 
  10. D. Ariananda, D. Romero and G. Leus, "Compressive Angular and Frequency Periodogram Reconstruction for Multiband Signals," Proc. of the 5th IEEE International Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), St. Martin, France, 2013. 
  11. A. Kumar, S. Razul and C. See, "Carrier Frequency and Direction of Arrival Estimation with Nested Sub-Nyquist Sensor Array Receiver," Proc. of the 23rd European Signal Processing Conference (EUSIPCO), Nice, France, 2015. 
  12. A. Anil Kumar, S. Razul and C. See, "Spectrum Blind Reconstruction and Direction of Arrival Estimation of Multi-band Signals at Sub-Nyquist Sampling Rates," Multidimensional Systems and Signal Processing, vol. 29, no. 2, pp. 643-669, Available: 10.1007/s11045-016-0455-7, 2016. 
  13. X. Yang, X. Wu, S. Li and T. Sarkar, "A Fast and Robust DOA Estimation Method Based on JSVD for Co-Prime Array," IEEE Access, vol. 6, pp. 41697-41705, Available: 10.1109/access.2018.2860680, 2018. 
  14. M. Wax and A. Leshem, "Joint Estimation of Time Delays and Directions of Arrival of Multiple Reflections of a Known Signal," IEEE Trans. on Signal Processing, vol. 45, no. 10, pp. 2477-2484, Oct.1997. 
  15. M. Manzanoa, J. Valenzuela-Valdesb, I. Castroc and L. Landesac, "Looking in Complex Angles for Improving the Accuracy of Antenna Array DoA Estimation," Journal of Electromagnetic Waves and Applications, vol. 27, no. 3, pp. 345-354, 2013. 
  16. I. Ziskind and M. Wax, "Maximum Likelihood Localization of Multiple Sources by Alternating Projection," IEEE Trans. on Acoustics, Speech and Signal Processing, vol. 36, no. 10, pp. 1553-1560, Oct.1988. 
  17. T. Salman, A. Badawy, T. M. Elfouly, A. Mohamed and T. Khattab, "Estimating the Number of Sources: An Efficient Maximization Approach," Proc. of the International Wireless Communications and Mobile Computing Conference (IWCMC), Dubrovnik, Croatia, 24-28 Aug. 2015. 
  18. E. Sirignano, A. Davoli, G. M. Vitetta and F. Viappiani, "A Comparative Analysis of Deterministic Detection and Estimation Techniques for MIMO SFCW Radars," IEEE Access, vol. 7, pp. 129848-129861, 2019. 
  19. J. Sanson, A. Gameiro, D. Castanheira and P. Monteiro, "Comparison of DoA Algorithms for MIMO OFDM Radar," Proceedings of the 15th European Radar Conference, Madrid, Spain, 26–28 Sept 2018. 
  20. M. J. Mismar and T. H. Ismail, "DOA and Power Estimation by Controlling the Roots of the Antenna Array Polynomial," Progress in Electromagnetics Research M, vol. 46, pp. 193-201, Available: 10.2528/pierm16011604, 2016. 
  21. Makhoul, "On the Eigenvectors of Symmetric Toeplitz/Matrices," IEEE Trans. on Acoustics, Speech and Signal Processing, vol. ASSP.29, no. 4, pp. 868-872, Aug.1981.