Skip to main content
Log in

Pattern synthesis of a practical conformal hydrophone array via second-order cone programming

  • Published:
Cluster Computing Aims and scope Submit manuscript

Abstract

Due to the production and installation error of the antenna array, there is mismatch between the actual array manifold and the ideal. Considering a practical conformal hydrophone array and the shielding of the sonar platform, the isotropy directivity of each sensor may be destroyed seriously, which is a big challenge to beam pattern synthesis. The method of measuring the actual array manifold was proposed, and second-order cone programming (SOCP) was applied to optimize the weights vector of the array sensors. The experiment result shows the irregular directivity of the array sensors. The weights vector was obtained from the measured array manifold and SOCP, and the synthesized beam pattern met the engineering requirements.

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

Similar content being viewed by others

References

  1. Chen, S.L., Qin, P.Y., Guo, Y.J.: Generalized 2-D numerical pattern synthesis algorithm for low cross polarization and low sidelobe synthesis. IEEE Antennas Wirel. Propag. Lett. 16, 2578–2581 (2017)

    Article  Google Scholar 

  2. Basit, A., Qureshi, I., Khan, W.: Beam pattern synthesis for an FDA radar with hamming window based non-uniform frequency offset. IEEE Antennas Wirel. Propag. Lett. 16, 2283–2286 (2017)

    Article  Google Scholar 

  3. Han, Q., Pan, M., Gong, S.: Resource management of opportunistic digital array radar antenna aperture for pattern synthesis. IET Radar Sonar Navig. 11(5), 829–837 (2017)

    Article  Google Scholar 

  4. Liu, K., Cheng, Y., Wang, H.: Radiation pattern synthesis for the generation of vortex electromagnetic wave. IET Microw. Antennas Propag. 11(5), 685–694 (2017)

    Article  Google Scholar 

  5. Liu, Y., Huang, X., Xu, K.D.: Pattern synthesis of unequally spaced linear arrays including mutual coupling using iterative FFT via virtual active element pattern expansion. IEEE Trans. Antennas Propag. 65(8), 3950–3958 (2017)

    Article  MathSciNet  Google Scholar 

  6. Zhang, X., He, Z.S., Liao, B.: A2RC: An accurate array response control algorithm for pattern synthesis. IEEE Trans. Signal Process. 65(7), 1810–1824 (2017)

    Article  MathSciNet  Google Scholar 

  7. Zhang, X., He, Z., Liao, B.: Pattern synthesis with multi-point accurate array response control. IEEE Trans. Antennas Propag. 65(8), 4075–4088 (2017)

    Article  Google Scholar 

  8. Huang, Z., Zhou, J., Zhang, H.: Full polarimetric sum and difference patterns synthesis for conformal array. Electron. Lett. 51(8), 602–604 (2015)

    Article  Google Scholar 

  9. Zhu, H., Liang, X., Ye, S.: A cylindrically conformal array with enhanced axial radiation. IEEE Antennas Wirel. Propag. Lett. 15, 1653–1656 (2016)

    Article  Google Scholar 

  10. Shahidizandi, S., Seydnejad, S.R.: Blind beamforming for conformal arrays. IEEE Antennas Wirel. Propag. Lett. 16, 940–943 (2016)

    Article  Google Scholar 

  11. Yang, H., Jin, Z., Montisci, G.: Design equations for cylindrically conformal arrays of longitudinal slots. IEEE Trans. Antennas Propag. 64(1), 80–88 (2015)

    Article  MathSciNet  Google Scholar 

  12. Herve, L., Boyd, S.: Antenna array pattern synthesis via convex optimization. IEEE Trans. Signal Process. 45(3), 526–532 (1997)

    Article  Google Scholar 

  13. Yan, S., Ma, Y., Hou, C.: Optimal array pattern synthesis for broadband arrays. J. Acoust. Soc. Am. 122(5), 2686–96 (2007)

    Article  Google Scholar 

  14. Lobo, M.S., Vandenberghe, L., boyd, S.: Applications of second-order cone programming. Linear Algebra Appl. 284(1), 193–228 (1998)

    Article  MathSciNet  Google Scholar 

  15. Sturm, J.F.: Using SeDuMi 1.02, a MATLAB toolbox for optimization over symmetric cones. Optim. Methods Softw 11(14), 625–653 (1999)

    Article  MathSciNet  Google Scholar 

Download references

Acknowledgements

This work was supported by the National Natural Science Foundation of China (Grant No. 61601322), Natural Science Foundation of Tianjin City (Grant No. 16JCQNJC01400) and State Key Laboratory of Acoustics, Institute of Acoustics, Chinese Academy of Sciences (Grant No. SKLA201503).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Dali Liu.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Liu, D., Li, L. & Chen, X. Pattern synthesis of a practical conformal hydrophone array via second-order cone programming. Cluster Comput 22 (Suppl 4), 8379–8386 (2019). https://doi.org/10.1007/s10586-018-1836-5

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10586-018-1836-5

Keywords

Navigation