Antenna allocation for MIMO radars with collocated antennas (original) (raw)
2012, 2012 15th International Conference on Information Fusion
Abstract
This paper deals with the antenna allocation problem in Multiple-Input Multiple-Output (MIMO) radar systems with collocated antennas. After deriving the Cramer-Rao Lower Bound (CRLB) as the cost function, the optimal distribution of antennas is found by applying the relevant operators to the CRLB. A convex optimization algorithm is then proposed to find the optimum distribution of antennas that achieves the optimal CRLB. It is also shown that the optimization problem can be simplified to the well-known Semi-definite Programming (SDP) for a single target scenario. Using a number of simulations, it is shown that the localization algorithm also leads to superior results when the optimal antenna configuration is used.
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References (17)
- Y. Bar-Shalom, X.R. Li, and T. Kirubarajan, Estimation, Tracking and Navigation: Theory, Algorithms and Software, John Wiley & Sons, New York, 2001.
- I. Bekkerman, and J. Tabrikian, "Target detection and localization using MIMO radars and sonars", IEEE Transactions on Signal Processing, Vol. 54, No. 10, pp. 3873-3883, October 2006.
- A. N. Bishop, B. Fidan, B. D. O. Anderson, K. Dogancay, and P. N. Pathirana, "Optimality analysis of sensor-target localization geometries", Automatica, Vol. 46, pp. 479-492, 2010.
- S. Boyd, and L. Vandenberghe, "Convex optimization", Cambridge Uni- versity Press, 2004.
- E. Fishler, A. Haimovich, R. Blum, L.J. Cimini, D. Chizhik, and R.A. Valenzuela, "Spatial diversity in radars-models and detection perfor- mance", IEEE Transactions on Signal Processing, Vol. 54, No. 3, pp 823-838, March 2006.
- D. R. Fuhrmann, G. San Antonio, "Transmit beamforming for MIMO radar systems using signal cross-correlation", IEEE Transactions on Aerospace and Electronic Systems, Vol. 44, No. 1, pp. 171-186, January 2008.
- H. Godrich, A. M. Haimovich, and R. S. Blum, "Target localization accuracy gain in MIMO radar-based systems", IEEE Transactions on Information Theory, Vol. 56, No. 6, pp. 2783-2803, June 2010.
- H. Godrich, A. P. Petropulu, and H. V. Poor, "Sensor selection in dis- tributed multiple-radar architectures for localization: a knapsack problem formulation", IEEE Transactions on Signal Processing, Vol. 60, No. 1, pp. 247-260, January 2012.
- A. A. Gorji, R. Tharmarasa, W. D. Blair, and T. Kirubarajan, "Multi- ple unresolved target localization and tracking using collocated MIMO radars", IEEE Transactions on Aerospace and Electronic Systems, Ac- cepted in the Final Form, October 2011.
- M. Grant, and S. Boyd, "CVX user's guide", Technical Report, Stand- ford University, February 2002.
- J. Li, and P. Stoica, "MIMO radar with collocated antennas", IEEE Signal Processing Magezine, Vol. 24, No. 5, pp. 106114, September 2007.
- J. Li, L. Xu, P. Stoica, K. W. Forsythe, and D. W. Bliss, "Range compression and waveform optimization for MIMO radar: a Cramer-Rao bound based study", IEEE Transactions on Signal Processing, Vol. 56, No. 1, pp. 218-232, January 2008.
- P. Stoica, J. Li, and X. Zhu, "Waveform synthesis for diversity-based transmit beampattern design", IEEE Transactions on Signal Processing, Vol. 56, No. 6, pp. 2593-2598, June 2008.
- M. Skolnik, "Introduction to radar systems", 3rd ed. New York: McGraw-Hill, 2002.
- P. Swerling, "Radar probability of detection for some additional fluc- tuating target cases", IEEE Transactions on Aerospace and Electronic Systems, Vol. 33, No. 2, pp. 698-709, April 1997.
- R. Tharmarasa, T. Kirubarajan, M. L. Hernandez, and A. Sinha, "PCRLB-based multisensor array management for multitarget tracking", IEEE Transactions on Aerospace and Electronic Systems, Vol. 43, No. 2, pp. 539-555, April 2007.
- L. Xu, J. Li, and P. Stoica, "Target detection and parameter estimation for MIMO radar systems", IEEE Transactions on Aerospace and Electronic Systems, Vol. 44, No. 3, pp. 927-939.