Skip to main content
Log in

Range-angle pencil-beamforming for non-uniformly distributed array radar

  • Published:
Multidimensional Systems and Signal Processing Aims and scope Submit manuscript

Abstract

Digital beamforming with non-uniformly distributed array radar can make full use of resources and enhance the target detection capability. However, it encounters severe grating lobes and high false alarm probability. In this paper, a novel range-angle pencil-beamforming with the non-uniformly distributed frequency diverse array (FDA) is proposed. FDA is referred to as an array transmitting linearly increased carrier frequencies with the array elements. The FDA is capable of providing controllable degrees-of-freedom in range domain, which is superior to the conventional phased array. In our approach, the frequency increments and element positions are optimally determined via particle swarm optimization algorithm to focus the transmit power within a particular range and angle region. With the proposed method, the range-angle pencil-beampattern is obtained and its side-lobes in range-angle domains can be further lowered down. Numerical simulation examples are provided to verify the effectiveness of the proposed approach.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10

Similar content being viewed by others

References

  • Abu-Al-Nadi, D. I., Al-Tous, H., et al. (2012). Design of linear phased array for interference suppression using array polynomial method and particle swarm optimization. Wireless Personal Communications, 63(2), 501–513.

    Article  Google Scholar 

  • Antonik, P., Wicks, M.C., Griffiths, H.D., & Baker, C.J. (2006). Range-dependent beamforming using element level waveform diversity. In Proceedings of the International Waveform Diversity and Design Conference, (pp. 140–144).

  • Antonik, P., Wicks, M.C., Griffiths H.D., & Baker, C.J. (2006). Frequency diverse array radars. In Proceedings of the IEEE Conference on Radar, (pp. 215–217).

  • Balanis, C. A. (2005). Antenna theory analysis and design (3rd ed.). New York: Wiley-Qnterscience.

    Google Scholar 

  • Balanis, C. A. (2008). Modern antenna handbook. New York: Wiley-Qnterscience.

    Book  Google Scholar 

  • Cao, J., Huang, W., Zhao, T., Wang, J., & Wang, R. (2015). An enhance excavation equipments classification algorithm based on acoustic spectrum dynamic feature. Multidimensional Systems and Signal Processing. doi:10.1007/s11045-015-0374-z.

  • Darzi, S., Kiong, T. S., et al. (2014). Null steering of adaptive beamforming using linear constraint minimum variance assisted by particle? Swarm optimization, dynamic mutated artificial immune system, and gravitational search algorithm. The Scientific World Journal, 2014, 724639.

    Article  Google Scholar 

  • Farooq, J., Temple, M.A., & Saville, M. et al. (2008). Exploiting frequency diverse array processing to improve SAR image resolution. In IEEE Radar Conference. IEEE (pp. 1–5).

  • He, G., & Huang, N. (2012). A modified particle swarm optimization algorithm with applications. Applied Mathematics and Computation, 219(3), 1053–1060.

    Article  MathSciNet  MATH  Google Scholar 

  • Heimiller, R. C., Belyea, J. E., & Tomlinson, P. G. (1983). DISTRIBUTED ARRAY RADAR. IEEE Transactions on Aerospace & Electronic Systems, 19(6), 831–839.

    Article  Google Scholar 

  • Higgins, T., & Blunt, S. (2009). Analysis of range-angle coupled beamforming with frequency diverse chirps. In Proceedings of the 4th International Waveform Diversity and Design Conference, (pp. 140–144).

  • Khan, W., Qureshi, I. M., & Saeed, S. (2015). Frequency diverse array radar with logarithmically increasing frequency increment. IEEE Antennas and Wireless Propagation Letters, 14, 499–502.

    Article  Google Scholar 

  • Khan, W., Qureshi, I. M., Basit, A., & Khan, W. (2016). Range-bins-based MIMO frequency diverse array radar with logarithmic frequency offset. IEEE Antennas & Wireless Propagation Letters, 15, 499–502.

    Google Scholar 

  • Lai, X., Liu, J., Wang, J., & Cao, J. (2017). Acoustic vector sensor: Reviews and future perspectives. IET Signal Processing, 11(1), 1–9.

    Article  Google Scholar 

  • Liu, Y. (2016). Range azimuth indication using a random frequency frequency diverse array. In IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), Shanghai, China, (pp. 3111–3115).

  • Liu, Y., Ruan, H., Wang, L., & Nehorai, A. (2017). The random frequency diverse array: A new antenna structure for uncoupled direction-range indication in active sensing. IEEE Journal of Selected Topics in Signal Processing, 11(2), 295–308.

  • Ma, S., & Li, H. et al. (2015). Pattern synthesis of the distributed array based on the hybrid algorithm of particle swarm optimization and convex optimization. In International Conference on Natural Computation (ICNC), (pp. 1230–1234).

  • Mandal, D., Ghoshal, S. P., & Bhattacharjee, A. K. (2011). Application of evolutionary optimization techniques for finding the optimal set of concentric circular antenna array. Expert Systems with Applications, 38(4), 2942–2950.

    Article  Google Scholar 

  • Merrill, I. S. (2001). Introduction to radar systems. New York: McGraw Hill Higher Education.

    Google Scholar 

  • Myrick, W., Goldstein, J.S., & Picciolo, M. (2013). A COTS based asynchronous distributed array processor utilizing reduced-rank STAP. In: IEEE National Radar Conference Proceedings, (pp. 1–5).

  • Opper, S. P., et al. (2014). Adaptive frequency offset selection in frequency diverse array radar. IEEE Antennas & Wireless Propagation Letters, 13(5), 1405–1408.

    Google Scholar 

  • Sammartino, P., Baker, C., & Griffiths, H. (2013). Frequency diverse MIMO techniques for radar. IEEE Transactions on Aerospace and Electronic Systems, 49(1), 201–222.

    Article  Google Scholar 

  • Secmen, M., Demir, S., Hizal, A., & Eker, T. (2007). Frequency diverse array antenna with periodic time modulated pattern in range and angle. IEEE Radar Conference, IEEE, 17(20), 427–430.

    Google Scholar 

  • Shao, H., Li, J., Chen, H., & Wang, W. (2014). Adaptive frequency offset selection in frequency diverse array radar. IEEE Antennas and Wireless Propagation Letters, 13, 1405–1408.

    Article  Google Scholar 

  • Takubo, S., Tajima, Y., & Yamada, Y. (2000). Radiation pattern synthesis of an unequally spaced array antenna. IEEE AP-S International Symposium, 3, 1210–1213.

    Google Scholar 

  • Tang, S. (2013). The research of distributed phased-array target localization based on Joint-Esprit algorithm. In International Workshop on Microwave and Millimeter Wave Circuits and System Technology, (pp. 490–493).

  • Wang, W.-Q. (2013). Phased-MIMO radar with frequency diversity for range-dependent beamforming. IEEE Sensors Journal, 13(4), 1320–1328.

    Article  Google Scholar 

  • Wang, W., & So, H. C. (2014). Transmit subaperturing for range and angle estimation in frequency diverse array radar. IEEE Transactions on Signal Processing, 62(8), 2000–2011.

    Article  MathSciNet  Google Scholar 

  • Wang, W.-Q., So, H., & Shao, H. (2014). Nonuniform frequency diverse array for range-angle imaging of targets. IEEE Sensors Journal, 14(8), 2469–2476.

    Article  Google Scholar 

  • Wang, Y., Wang, W.-Q., Chen, H., & Shao, H. (2015). Optimal frequency diverse subarray design with Cramér-Rao lower bound minimization. IEEE Antennas and Wireless Propagation Letters, 2014, 1188–1191.

    Article  Google Scholar 

  • Xu, J., Liao, G., & Zhu, S. (2014). Receive beamforming of frequency diverse array radar systems. In Proceedings of the 31th URSI General Assembly and Scientific Symposium (URSIGASS), Beijing, China (pp. 1–5).

  • Xu, J., Liao, G., Zhu, S., Huang, L., & So, H. (2015). Joint range and angle estimation using MIMO radar with frequency diverse array. IEEE Transactions on Signal Processing, 63(13), 3396–3410.

    Article  MathSciNet  Google Scholar 

  • Xu, J., Liao, G., Zhu, S., & So, H. (2015). Deceptive jamming suppression with frequency diverse MIMO radar. Signal Processing, 113, 9–17.

    Article  Google Scholar 

  • Xu, J., Zhu, S., & Liao, G. (2015). Range ambiguous clutter suppression for airborne FDA-STAP radar. IEEE Journal of Selected Topics in Signal Processing, 9(8), 1620–1631.

    Article  Google Scholar 

  • Zaman, M. A., & Matin, M. A. (2012). Nonuniformly spaced linear antenna array design using firefly algorithm. International Journal of Microwave Science & Technology, 2012, 256759. doi:10.1155/2012/256759.

  • Zhuang, L., & Liu, X.Z. (2009). Precisely beam steering for frequency diverse arrays based on frequency offset selection. In Proceedings of International Radar Conference (pp. 1C4).

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Lan Lan.

Additional information

This work was supported in part by the National Nature Science Foundation of China under Grants 61231017 and 61601339, the China Postdoctoral Science Foundation under Grant 2016M590925, and the Fundamental Research Funds for the Central Universities under Grants XJS16009 and JB160228.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Lan, L., Liao, G., Xu, J. et al. Range-angle pencil-beamforming for non-uniformly distributed array radar. Multidim Syst Sign Process 29, 867–886 (2018). https://doi.org/10.1007/s11045-017-0477-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11045-017-0477-9

Keywords

Navigation