SQP-based Power Allocation Strategy for Target Tracking in MIMO Radar Network with Widely Separated Antennas
Subject Areas : Signal ProcessingMohammad Akhondi Darzikolaei 1 , Mohammad Reza Karami-Mollaei 2 , Maryam Najimi 3
1 - Department of Electrical and Computer Engineering, Babol Noshirvani University of Technology,Babol, Iran
2 - Department of Electrical and Computer Engineering, Babol Noshirvani University of Technology,Babol, Iran
3 - Department of Electrical and Computer Engineering, University of Science and Technology of Mazandaran,Behshahr, Iran
Keywords: MIMO radar, Power allocation, SQP, Target tracking,
Abstract :
MIMO radar with widely separated antennas enhances detection and estimation resolution by utilizing the diversity of the propagation path. Each antenna of this type of radar can steer its beam independently towards any direction as an independent transmitter. However, the joint processing of signals for transmission and reception differs this radar from the multistatic radar. There are many resource optimization problems which improve the performance of MIMO radar. But power allocation is one of the most interesting resource optimization problems. The power allocation finds an optimum strategy to assign power to transmit antennas with the aim of minimizing the target tracking errors under specified transmit power constraints. In this study, the performance of power allocation for target tracking in MIMO radar with widely separated antennas is investigated. Therefore, a MIMO radar with distributed antennas is configured and a target motion model using the constant velocity (CV) method is modeled. Then Joint Cramer Rao bound (CRB) for target parameters (joint target position and velocity) estimation error is calculated. This is utilized as a power allocation problem objective function. Since the proposed power allocation problem is nonconvex. Therefore, a SQP-based power allocation algorithm is proposed to solve it. In simulation results, the performance of the proposed algorithm in various conditions such as a different number of antennas and antenna geometry configurations is examined. Results affirm the accuracy of the proposed algorithm.
[1] M. A. Darzikolaei, A. Ebrahimzade, and E. Gholami, “Classification of radar clutters with artificial neural network,” in 2015 2nd International Conference on Knowledge-Based Engineering and Innovation (KBEI), 2015, pp. 577–581.
[2] M. A. Darzikolaei, A. Ebrahimzade, and E. Gholami, “The Separation of Radar Clutters using Multi-Layer Perceptron,” Information Systems & Telecommunication, p. 41, 2017.
[3] E. Fishler, A. Haimovich, R. Blum, D. Chizhik, L. Cimini, and R. Valenzuela, “MIMO radar: An idea whose time has come,” in Proceedings of the 2004 IEEE Radar Conference (IEEE Cat. No. 04CH37509), 2004, pp. 71–78.
[4] E. Fishler, A. Haimovich, R. S. Blum, L. J. Cimini, D. Chizhik, and R. A. Valenzuela, “Spatial diversity in radars—Models and detection performance,” IEEE Transactions on signal processing, vol. 54, no. 3, pp. 823–838, 2006.
[5] J. Li and P. Stoica, “MIMO radar with colocated antennas,” IEEE Signal Processing Magazine, vol. 24, no. 5, pp. 106–114, 2007.
[6] A. M. Haimovich, R. S. Blum, and L. J. Cimini, “MIMO radar with widely separated antennas,” IEEE Signal Processing Magazine, vol. 25, no. 1, pp. 116–129, 2007.
[7] M. Hai, “MIMO radar with widely separated antennas technology,” IEE Signal Magazine, vol. 26, no. 2, pp. 98–106, 2009.
[8] Y. Bar-Shalom, X. R. Li, and T. Kirubarajan, Estimation with applications to tracking and navigation: theory algorithms and software. John Wiley & Sons, 2004.
[9] A. Pakdaman and H. Bakhshi, “Separable transmit beampattern design for MIMO radars with planar colocated antennas,” AEU-International Journal of Electronics and Communications, vol. 89, pp. 153–159, 2018.
[10] M. Xie, W. Yi, T. Kirubarajan, and L. Kong, “Joint node selection and power allocation strategy for multitarget tracking in decentralized radar networks,” IEEE Transactions on Signal Processing, vol. 66, no. 3, pp. 729–743, 2017.
[11] H. Godrich, A. P. Petropulu, and H. V. Poor, “Power allocation strategies for target localization in distributed multiple-radar architectures,” IEEE Transactions on Signal Processing, vol. 59, no. 7, pp. 3226–3240, 2011.
[12] H. Chen, S. Ta, and B. Sun, “Cooperative game approach to power allocation for target tracking in distributed MIMO radar sensor networks,” IEEE Sensors Journal, vol. 15, no. 10, pp. 5423–5432, 2015.
[13] P. Chavali and A. Nehorai, “Scheduling and power allocation in a cognitive radar network for multiple-target tracking,” IEEE Transactions on Signal Processing, vol. 60, no. 2, pp. 715–729, 2011.
[14] C. Shi, S. Salous, F. Wang, and J. Zhou, “Power allocation for target detection in radar networks based on low probability of intercept: A cooperative game theoretical strategy,” Radio Science, vol. 52, no. 8, pp. 1030–1045, 2017.
[15] J. Yan, H. Liu, B. Jiu, and Z. Bao, “Power allocation algorithm for target tracking in unmodulated continuous wave radar network,” IEEE sensors journal, vol. 15, no. 2, pp. 1098–1108, 2014.
[16] L. Wang, L. Wang, Y. Zeng, and M. Wang, “Jamming power allocation strategy for MIMO radar based on MMSE and mutual information,” IET Radar, Sonar & Navigation, vol. 11, no. 7, pp. 1081–1089, 2017.
[17] S. M. H. Andargoli and J. Malekzadeh, “LPI radar network optimization based on geometrical measurement fusion,” Optimization and Engineering, vol. 20, no. 1, pp. 119–150, 2019.
[18] B. Ma, H. Chen, B. Sun, and H. Xiao, “A joint scheme of antenna selection and power allocation for localization in MIMO radar sensor networks,” IEEE communications letters, vol. 18, no. 12, pp. 2225–2228, 2014.
[19] X. Li, W. Yi, G. Cui, L. Kong, and X. Yang, “Radar selection for single-target tracking in radar networks,” in 2015 IEEE Radar Conference (RadarCon), 2015, pp. 0545–0550.
[20] Y. Lu, Z. He, X. Zhang, and S. Liu, “Transmit and receive sensors joint selection for MIMO radar tracking based on PCRLB,” in 2016 IEEE 13th International Conference on Signal Processing (ICSP), 2016, pp. 1551–1555.
[21] J. She, F. Wang, and J. Zhou, “A novel sensor selection and power allocation algorithm for multiple-target tracking in an LPI radar network,” Sensors, vol. 16, no. 12, p. 2193, 2016.
[22] J. Yan, H. Liu, W. Pu, S. Zhou, Z. Liu, and Z. Bao, “Joint beam selection and power allocation for multiple target tracking in netted colocated MIMO radar system,” IEEE Transactions on Signal Processing, vol. 64, no. 24, pp. 6417–6427, 2016.
[23] X. Song, N. Zheng, and T. Bai, “Resource allocation schemes for multiple targets tracking in distributed MIMO radar systems,” International Journal of Antennas and Propagation, vol. 2017, 2017.
[24] N. Garcia, A. M. Haimovich, M. Coulon, and M. Lops, “Resource allocation in MIMO radar with multiple targets for non-coherent localization,” IEEE Transactions on Signal Processing, vol. 62, no. 10, pp. 2656–2666, 2014.
[25] Yi, Wei, Ye Yuan, Reza Hoseinnezhad, and Lingjiang Kong. "Resource scheduling for distributed multi-target tracking in netted colocated MIMO radar systems." IEEE Transactions on Signal Processing 68 (2020): 1602-1617.
[26] Li, Zhengjie, Junwei Xie, Haowei Zhang, Houhong Xiang, and Zhaojian Zhang. "Adaptive sensor scheduling and resource allocation in netted collocated MIMO radar system for multi-target tracking." IEEE Access 8 (2020): 109976-109988.
[27] Q. He, R. S. Blum, and A. M. Haimovich, “Noncoherent MIMO radar for location and velocity estimation: More antennas means better performance,” IEEE Transactions on Signal Processing, vol. 58, no. 7, pp. 3661–3680, 2010.
[28] V. Trees and L. Harry, Detection, Estimation, and Modulation Theory-Part l-Detection, Estimation, and Linear Modulation Theory. John Wiley & Sons New York, 2001.
[29] 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, 2010.
[30] D. Wassel, “Exploring novel designs of nlp solvers: architecture and implementation of worhp,” PhD Thesis, Universität Bremen, 2013.