Matrix Pencil Method and Singular Value Decomposition Application for DOA Estimation Using Linear Antenna Array with Multiple Signal Sources
Abstract
The practice of estimating the direction of the signal emitted from signal sources using linear antenna arrays is used effectively in both military and civilian radar systems. While the number of signal sources was single in the first studies, the systems that estimated the direction angle of the source have now gained the ability to estimate the direction angle of the signals emitted from more than one signal source at the same time with high accuracy, thanks to the deepening researches. In this study, it is aimed to estimate the angle of incidence of noisy signals emitted from multiple signal sources with the least error by using the Matrix Pencil Method and linear antenna array, which is one of the signal subspace
analysis methods. In addition, the signals are separated from the noise factor by using the Singular Value Decomposition method. Simulations have been carried out in many different scenarios, and it has been shown that the combination of Matrix Pencil Method and Singular Value Decomposition methods can be used for highly accurate results in estimating the direction of multiple signals coming into the antenna array.
Keywords
matrix pencil singular value decomposition array signal processing doa estimation linear antenna array
References
- A. Paulraj, B. Ottersten, R. Roy, A. Swindlehurst, G. Xu, T. Kailath, “Subspace methods for directions-of-arrival estimation,” Handbook of Statistics, Elsevier, vol. 10, pp. 693-739, 1993.
- G. Yong, X. Ci, Z. Zong, “Erasing false-location of two stations direction-finding cross location in multi-path and multiple sources environments,” Radar, CIE International Conference on Proceedings, 2001.
- J. Capon, “High resolution frequency wave number spectrum analysis,” Proc. 1EEE 57, pp. 1408-1418, 1969.
- J. P. Burg, “Maximum entropy spectral analysis,” Ph.D. thesis, Stanford University, Stanford, CA, 1975.
- V. F. Pisarenko, “The retrieval of harmonics from a covariance function,” Geophys. J. Roy. Astronom. Soc. vol. 33, pp. 347-366, 1973.
- R. O. Schmidt, “Multiple emitter location and signal parameter estimation,” Proc. RADC Spectrum Estimation Workshop. Griffiss AFB, NY, pp. 243-258, 1979.
- G. Bienvenu, L. Kopp, “Principle de la goniometrie passive adaptive,” Proc.7’eme Colloque GRESIT. Nice, France, pp.1-10, 1979.
- A. Paulraj, R. Roy and T. Kailath, “Estimation of signal parameters via rotational invariance techniques- ESPRIT,” Proc. 19th Asilomar Conf. on Circuits, Systems and Computers. San Jose, CA, November, pp. 83-89, 1985.
- A. Paulraj, R. Roy and T. Kailath, “A subspace rotation approach to signal parameter estimation,” Proc. IEEE 74(7), pp. 1044-1045, 1986.
- R. Roy, T. Kailath, “ESPRIT- Estimation of signal parameters via rotational invariance techniques,” IEEE Trans. Aeoust. Speech Signal Process. vol. 37(7), pp. 984-995, 1989.
- M. Viberg, B. Ottersten, T. Kailath, “Direction of arrival estimation and detection using weighted subspace fitting,” Proc. 23rd Asilomar Conf. on Signals, Systems, and Computers, San Jose, CA, November, pp. 604-608, 1989.
- B. Ottersten, M. Viberg, T. Kailath, “Analysis of subspace fitting and ML techniques for parameter estimation from sensor array data,” IEEE Trans. Signal Process, vol. 40(3), pp. 590-600, 1992.
- L. Sibul, “Application of singular value decomposition to adaptive beamforming,” Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP, USA, 1984.
- Y. Hua, T.K. Sarkar, “Matrix Pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise,” IEEE Transactions Acoust. Speech, Signal Process. vol. 38 (1), pp. 814-824, 1990.
- T. K. Sarkar, O. Pereira, “Using the matrix pencil method to estimate the parameters of a sum of complex exponentials,” IEEE Antennas and Propagation Magazine, vol. 37 (1), pp. 48-55, 1995.
- T. K. Sarkar, N. Yilmazer, M. Salazar-Palma, “DOA Estimation using Matrix Pencil and ESPRIT methods using single and multiple snapshots,” Electromagnetic Theory (EMTS), URSI International Symposium, Berlin, Germany, 2010.
- M. Ihedrane, S. Bri, A. E. Fadl, “2-D Matrix pencil for doa estimation,” International Conference on Wireless Technologies, Embedded and Intelligent Systems (WITS), 2019.
- N. Aytaş, E. Afacan, N. İnanç, “The Application of Matrix Pencil Method for Direction Finding Using a Linear Antenna Array,” 29th Signal Processing and Communications Applications Conference (SIU), pp. 1-4, 2021.
Matrix Pencil Method and Singular Value Decomposition Application for DOA Estimation Using Linear Antenna Array with Multiple Signal Sources
Abstract
The practice of estimating the direction of the signal emitted from signal sources using linear antenna arrays is used effectively in both military and civilian radar systems. While the number of signal sources was single in the first studies, the systems that estimated the direction angle of the source have now gained the ability to estimate the direction angle of the signals emitted from more than one signal source at the same time with high accuracy, thanks to the deepening researches. In this study, it is aimed to estimate the angle of incidence of noisy signals emitted from multiple signal sources with the least error by using the Matrix Pencil Method and linear antenna array, which is one of the signal subspace
analysis methods. In addition, the signals are separated from the noise factor by using the Singular Value Decomposition method. Simulations have been carried out in many different scenarios, and it has been shown that the combination of Matrix Pencil Method and Singular Value Decomposition methods can be used for highly accurate results in estimating the direction of multiple signals coming into the antenna array.
Keywords
matrix pencil singular value decomposition array signal processing doa estimation linear antenna array.
References
- A. Paulraj, B. Ottersten, R. Roy, A. Swindlehurst, G. Xu, T. Kailath, “Subspace methods for directions-of-arrival estimation,” Handbook of Statistics, Elsevier, vol. 10, pp. 693-739, 1993.
- G. Yong, X. Ci, Z. Zong, “Erasing false-location of two stations direction-finding cross location in multi-path and multiple sources environments,” Radar, CIE International Conference on Proceedings, 2001.
- J. Capon, “High resolution frequency wave number spectrum analysis,” Proc. 1EEE 57, pp. 1408-1418, 1969.
- J. P. Burg, “Maximum entropy spectral analysis,” Ph.D. thesis, Stanford University, Stanford, CA, 1975.
- V. F. Pisarenko, “The retrieval of harmonics from a covariance function,” Geophys. J. Roy. Astronom. Soc. vol. 33, pp. 347-366, 1973.
- R. O. Schmidt, “Multiple emitter location and signal parameter estimation,” Proc. RADC Spectrum Estimation Workshop. Griffiss AFB, NY, pp. 243-258, 1979.
- G. Bienvenu, L. Kopp, “Principle de la goniometrie passive adaptive,” Proc.7’eme Colloque GRESIT. Nice, France, pp.1-10, 1979.
- A. Paulraj, R. Roy and T. Kailath, “Estimation of signal parameters via rotational invariance techniques- ESPRIT,” Proc. 19th Asilomar Conf. on Circuits, Systems and Computers. San Jose, CA, November, pp. 83-89, 1985.
- A. Paulraj, R. Roy and T. Kailath, “A subspace rotation approach to signal parameter estimation,” Proc. IEEE 74(7), pp. 1044-1045, 1986.
- R. Roy, T. Kailath, “ESPRIT- Estimation of signal parameters via rotational invariance techniques,” IEEE Trans. Aeoust. Speech Signal Process. vol. 37(7), pp. 984-995, 1989.
- M. Viberg, B. Ottersten, T. Kailath, “Direction of arrival estimation and detection using weighted subspace fitting,” Proc. 23rd Asilomar Conf. on Signals, Systems, and Computers, San Jose, CA, November, pp. 604-608, 1989.
- B. Ottersten, M. Viberg, T. Kailath, “Analysis of subspace fitting and ML techniques for parameter estimation from sensor array data,” IEEE Trans. Signal Process, vol. 40(3), pp. 590-600, 1992.
- L. Sibul, “Application of singular value decomposition to adaptive beamforming,” Acoustics, Speech, and Signal Processing, IEEE International Conference on ICASSP, USA, 1984.
- Y. Hua, T.K. Sarkar, “Matrix Pencil method for estimating parameters of exponentially damped/undamped sinusoids in noise,” IEEE Transactions Acoust. Speech, Signal Process. vol. 38 (1), pp. 814-824, 1990.
- T. K. Sarkar, O. Pereira, “Using the matrix pencil method to estimate the parameters of a sum of complex exponentials,” IEEE Antennas and Propagation Magazine, vol. 37 (1), pp. 48-55, 1995.
- T. K. Sarkar, N. Yilmazer, M. Salazar-Palma, “DOA Estimation using Matrix Pencil and ESPRIT methods using single and multiple snapshots,” Electromagnetic Theory (EMTS), URSI International Symposium, Berlin, Germany, 2010.
- M. Ihedrane, S. Bri, A. E. Fadl, “2-D Matrix pencil for doa estimation,” International Conference on Wireless Technologies, Embedded and Intelligent Systems (WITS), 2019.
- N. Aytaş, E. Afacan, N. İnanç, “The Application of Matrix Pencil Method for Direction Finding Using a Linear Antenna Array,” 29th Signal Processing and Communications Applications Conference (SIU), pp. 1-4, 2021.
Details
| Primary Language | English |
|---|---|
| Subjects | Electrical Engineering |
| Journal Section | Articles |
| Authors | |
| Publication Date | December 31, 2021 |
| Acceptance Date | September 29, 2021 |
| Published in Issue | Year 2021 Volume: 5 Issue: 2 |
