Beamapttern matching; Evolutionary algorithm; Fast time domain; Spatial domain; Two dimensional beampattern; ℓp-norm optimization; Beam pattern; Fast-time; Matchings; Optimisations; Spatial domains; Time domain; Two-dimensional; Signal Processing; Electrical and Electronic Engineering
Abstract :
[en] Two-dimensional beampattern shaping in 4D-imaging MIMO radars is a promising approach to enhance spatial sensing. However, spectrally dense environments that require the suppression of specific frequency bands introduce challenges to beampattern optimization. In this paper, we propose a method to match the designed beampattern closely with a desired beampattern under the unimodularity constraint while suppressing the spectral response in the undesired frequency bands. We employ the generalized ℓp-norm for beampattern shaping to minimize interference from undesired directions. The resulting optimization problem is non-convex, multi-variable, and NP-hard, highlighting the importance of determining a practical and effective solution strategy. To address this, we decompose the problem into two independent sub-problems, each solved using an evolutionary algorithm. This methodology enables the achievement of high-performance solutions in beampattern shaping while satisfying spectral constraints, demonstrating the potential for improvements in radar system performance.
Disciplines :
Computer science
Author, co-author :
Dorvash, Masoud; Department of Electrical and Computer Engineering, Isfahan University of Technology (IUT), Isfahan, Iran
ALAEE, Mohammad ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > SPARC
Modarres-Hashemi, Mahmoud; Isfahan University of Technology (IUT), Isfahan, Iran > Department of Electrical and Computer Engineering
OTTERSTEN, Björn ; University of Luxembourg > Interdisciplinary Centre for Security, Reliability and Trust (SNT) > PI Ottersten
External co-authors :
yes
Language :
English
Title :
Evolutionary Approaches for 4D Radar Beampattern Shaping in Spectrally Dense Environment
Publication date :
26 August 2024
Event name :
2024 32nd European Signal Processing Conference (EUSIPCO)
E. Raei, M. Alaee-Kerahroodi, and B. M. R. Shankar, “Waveform design for beampattern shaping in 4D-imaging MIMO radar systems,” in 2021 21st International Radar Symposium (IRS), pp. 1–10, 2021.
T. Bouchoucha, S. Ahmed, T. Al-Naffouri, and M.-S. Alouini, “DFT-based closed-form covariance matrix and direct waveforms design for MIMO radar to achieve desired beampatterns,” IEEE Transactions on Signal Processing, vol. 65, no. 8, pp. 2104–2113, 2017.
N. K. Sichani, M. Alaee-Kerahroodi, B. Shankar M. R., E. Mehrshahi, and S. A. Ghorashi, “Antenna array and waveform design for 4D-imaging mmWave MIMO radar sensors,” IEEE Transactions on Aerospace and Electronic Systems, pp. 1–16, 2023.
Z. Cheng, Z. He, S. Zhang, and J. Li, “Constant modulus waveform design for MIMO radar transmit beampattern,” IEEE Transactions on Signal Processing, vol. 65, no. 18, pp. 4912–4923, 2017.
E. Raei, M. Alaee-Kerahroodi, B. S. M. R., and B. Ottersten, “Transmit beampattern shaping via waveform design in cognitive MIMO radar,” in ICASSP 2020 - 2020 IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), pp. 4582–4586, 2020.
S. Imani and M. M. Nayebi, “A coordinate descent framework for beampattern design and waveform synthesis in MIMO radars,” IEEE Transactions on Aerospace and Electronic Systems, vol. 57, no. 6, pp. 3552–3562, 2021.
E. Raei, M. Alaee-Kerahroodi, and M. B. Shankar, “Spatial- and range-ISLR trade-off in MIMO radar via waveform correlation optimization,” IEEE Transactions on Signal Processing, vol. 69, pp. 3283–3298, 2021.
M. Haghnegahdar, S. Imani, S. A. Ghorashi, and E. Mehrshahi, “SINR enhancement in colocated MIMO radar using transmit covariance matrix optimization,” IEEE Signal Processing Letters, vol. 24, no. 3, pp. 339–343, 2017.
E. Raei, S. Sedighi, M. Alaee-Kerahroodi, and M. R. Bhavani Shankar, “MIMO radar transmit beampattern shaping for spectrally dense environments,” IEEE Transactions on Aerospace and Electronic Systems, vol. 59, no. 2, pp. 1007–1020, 2023.
W. Huleihel, J. Tabrikian, and R. Shavit, “Optimal adaptive waveform design for cognitive MIMO radar,” IEEE Transactions on Signal Processing, vol. 61, no. 20, pp. 5075–5089, 2013.
S. Katoch, S. S. Chauhan, and V. Kumar, “A review on genetic algorithm: past, present, and future,” Multimedia Tools and Applications, vol. 80, pp. 8091–8126, Feb. 2021.
J. Nayak, H. Swapnarekha, B. Naik, G. Dhiman, and S. Vimal, “25 years of particle swarm optimization: Flourishing voyage of two decades,” Archives of Computational Methods in Engineering, vol. 30, pp. 1663–1725, Apr. 2023.
D. Delahaye, S. Chaimatanan, and M. Mongeau, “Simulated annealing: From basics to applications,” in Handbook of Metaheuristics (M. Gendreau and J.-Y. Potvin, eds.), pp. 1–35, Cham: Springer International Publishing, 2019.
S. Ahmed, J. S. Thompson, and B. Mulgrew, “MIMO-radar waveform design for beampattern using particle-swarm-optimisation,” in 2012 IEEE International Conference on Communications (ICC), pp. 6381–6385, 2012.
G. Fan and W. Deng, “MIMO radar transmit beampattern synthesis based on genetic algorithm,” in Proceedings of 2012 5th Global Symposium on Millimeter-Waves, pp. 445–448, 2012.
M. Alaee-Kerahroodi, K. V. Mishra, and B. S. M.R., “Radar beampattern design for a drone swarm,” in 2019 53rd Asilomar Conference on Signals, Systems, and Computers, pp. 1416–1421, 2019.
A. Aubry, A. De Maio, and Y. Huang, “MIMO radar beampattern design via PSL/ISL optimization,” IEEE Transactions on Signal Processing, vol. 64, no. 15, pp. 3955–3967, 2016.
N. Hansen and A. Ostermeier, “Completely Derandomized Self-Adaptation in Evolution Strategies,” Evolutionary Computation, vol. 9, pp. 159–195, 06 2001.
M. Deng, Z. Cheng, and Z. He, “Spectrally compatible waveform design for large-scale MIMO radar beampattern synthesis with one-bit DACs,” IEEE Transactions on Aerospace and Electronic Systems, vol. 58, no. 5, pp. 4729–4744, 2022.
M. Alaee-Kerahroodi, E. Raei, S. Kumar, and B. S. M. R. R., “Cognitive radar waveform design and prototype for coexistence with communications,” IEEE Sensors Journal, vol. 22, no. 10, pp. 9787–9802, 2022.
