Skip to main content
SpringerLink
Log in

Planar Sparse Array Synthesis for Sensor Selection by Convex Optimization with Constrained Beam Pattern

  • Published:
Wireless Personal Communications Aims and scope Submit manuscript

Abstract

The design of sparse array which is able to achieve good performance of beam-pattern satisfying the minimum peak sidelobe level (PSL) with the number of sensors as few as possible is a research area of increasing interest. This paper presents a method for planar optimization with sensor selection via convex optimization in condition of constrained beam-pattern. In the optimization procedure, the solution algorithm is based on convex optimization including a reweighted l 1-norm minimization. The objective is the minimum of the number of sensors and the PSL. Sparse array is obtained by removing those sensors with weights equal to zero or approximately equal to zero. In this paper, we also give the optimization algorithm respectively by row, column and the intersection on the basis of the linear array optimization. Numerical results are included, which illustrate the optimum method for planar arrays overall performs better than the other methods presented above for sensor selection.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7
Fig. 8
Fig. 9
Fig. 10
Fig. 11
Fig. 12
Fig. 13
Fig. 14

Similar content being viewed by others

References

  1. Chen, K., Yun, X., He, Z., et al. (2007). Synthesis of sparse planar arrays using modified real genetic algorithm. IEEE Transactions on Antennas and Propagation, 55(4), 1067–1073.

    Article  Google Scholar 

  2. Orbanz, P., & Roy, D. M. (2013). Bayesian models of graphs, arrays and other exchangeable random structures. IEEE Transactions on Pattern Analysis and Machine Intelligence, 37, 437–461.

    Article  Google Scholar 

  3. Viani, F., Oliveri, G., & Massa, A. (2013). Compressive sensing pattern matching techniques for synthesizing planar sparse arrays. IEEE Transactions on Antennas and Propagation, 61(9), 4577–4587.

    Article  MathSciNet  Google Scholar 

  4. Zhang, W., Li, L., & Li, F. (2011). Reducing the number of elements in linear and planar antenna arrays with sparseness constrained optimization. IEEE Transactions on Antennas and Propagation, 59(8), 3106–3111.

    Article  Google Scholar 

  5. Ha, B. V., Zich, R. E. & Mussetta, M., et al. (2013). Synthesis of sparse planar array using modified Bayesian optimization algorithm. In 2013 international conference on electromagnetics in advanced applications (ICEAA) (pp. 1541–1543). IEEE.

  6. Liu, J., Zhao, Z., Yuan, M., et al. (2014). The filter diagonalization method in antenna array optimization for pattern synthesis. IEEE Transactions on Antennas and Propagation, 62(12), 6123–6130.

    Article  MathSciNet  Google Scholar 

  7. Ha, B. V., Zich, R. E., & Mussetta, M., et al. (2013). Improved compact genetic algorithm for thinned array design. In 7th European conference on antennas and propagation (EuCAP), 2013 (pp. 1807–1808). IEEE.

  8. He, X. H. (2010). Thinned array synthesis based on integer coded genetic algorithm. Journal of Electronics and Information Technology, 32(9), 2277–2281.

    Article  Google Scholar 

  9. Chen, P., Zheng, Y., & Zhu, W. (2011). Optimized simulated annealing algorithm for thinning and weighting large planar arrays in both far-field and near-field. IEEE Journal of Oceanic Engineering, 36(4), 658–664.

    Article  Google Scholar 

  10. Meijer, C. A. (1998). Simulated annealing in the design of thinned arrays having low sidelobe levels. In Proceedings of the 1998 South African Symposium on Communications and Signal Processing (pp. 361–366).

  11. Chen, P. Y., & Selesnick, I. W. (2014). Group-sparse signal denoising: non-convex regularization, convex optimization. IEEE Transactions on Signal Processing, 62(13), 3464–3478.

    Article  MathSciNet  Google Scholar 

  12. Lebret, H., & Boyd, S. (1997). Antenna array pattern synthesis via convex optimization. IEEE Transactions on Signal Processing, 45(3), 526–532.

    Article  Google Scholar 

  13. Fuchs, B. (2012). Synthesis of sparse arrays with focused or shaped beampattern via sequential convex optimizations. IEEE Transactions on Antennas and Propagation, 60(7), 3499–3503.

    Article  MathSciNet  Google Scholar 

  14. Chen, H., Wan, Q., Huang, A. M., et al. (2009). Array pattern synthesis via sparse weight vector finding and convex programming. In 5th international conference on wireless communications, networking and mobile computing, 2009. WiCom’09 (pp. 1–4). IEEE.

  15. Prisco, G., & D’Urso, M. (2012). Maximally sparse arrays via sequential convex optimizations. IEEE Antennas and Wireless Propagation Letters, 11, 192–195.

    Article  Google Scholar 

  16. Nai, S. E., Ser, W., Yu, Z. L., et al. (2010). Beampattern synthesis for linear and planar arrays with antenna selection by convex optimization. IEEE Transactions on Antennas and Propagation, 58(12), 3923–3930.

    Article  MathSciNet  Google Scholar 

  17. Li, Y. Q., Cichocki, A., & Amari, S. (2004). Analysis of sparse representation and blind source separation. Neural Computation, 16, 1193–1234.

    Article  MATH  Google Scholar 

  18. Donoho, D. L., & Elad, M. (2003). Maximal sparsity representation vialminimization. Proceedings of the National Academy Sciences, 100, 2197–2202.

    Article  MathSciNet  MATH  Google Scholar 

  19. Cen, L., Ser, W., Cen, W., et al. (2010) Linear sparse array synthesis via convex optimization. In Proceedings of 2010 IEEE international symposium on circuits and systems (ISCAS) (pp. 4233–4236). IEEE.

Download references

Author information

Authors and Affiliations

  1. College of Communication Engineering, Jilin University, Changchun, 130025, Jilin, China

    Yu Du, Fengye Hu, Xiaolan Liu, Ling Cen & Wei Xiong

Authors
  1. Yu Du
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Fengye Hu
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Xiaolan Liu
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Ling Cen
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Wei Xiong
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Yu Du.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Du, Y., Hu, F., Liu, X. et al. Planar Sparse Array Synthesis for Sensor Selection by Convex Optimization with Constrained Beam Pattern. Wireless Pers Commun 89, 1147–1163 (2016). https://doi.org/10.1007/s11277-016-3309-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11277-016-3309-6

Keywords

Search

Navigation