Skip to main content
Springer Nature Link
Log in

MIMO radar OFDM chirp waveform diversity design with sparse modeling and joint optimization

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

Abstract

In multiple-input multiple-output radar systems, the employed waveforms should have a large time-bandwidth product, good correlation property and satisfactory ambiguity function performance. This paper proposes a orthogonal frequency division multiplexing (OFDM) chirp waveform diversity design scheme with sparse modeling and joint optimization of the waveform code matrix and amplitude matrix. First, we formulate the waveform diversity design as a mathematical optimization problem with sparse modeling and optimally design a code matrix to select the hopping frequencies for each waveform. Thereafter, the waveform amplitudes are adaptively designed by minimizing the cross-correlation peaks with genetic algorithm. The proposed method can easily generate multiple pseudo-orthogonal waveforms with satisfactory correlation and ambiguity function performance. Additionally, the impacts of waveform number, hopping frequency interval and selectable frequency index are discussed. The superiority of the proposed OFDM chirp waveform design over existing methods is verified by extensive simulation results.

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

Access this article

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

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

Explore related subjects

Discover the latest articles, news and stories from top researchers in related subjects.

References

  • Cerutti-Maori, D., Sikaneta, I., Klare, J., & Gierull, C. H. (2014). MIMO SAR processing for multichannel high-resolution wide-swath radars. IEEE Transactions on Geoscience and Remote Sensing, 52(8), 5034–5055.

    Article  Google Scholar 

  • Cheng, S. Q., Wang, W.-Q., & Shao, H. Z. (2014). Large time-bandwidth product OFDM chirp waveform diversity using for MIMO radar. Multidimensional Systems and Signal Processing. doi:10.1007/s11045-014-0294-3

  • Cristalini, D., Pastina, D., & Lombardo, P. (2011). Exploiting MIMO SAR potentialities with efficient cross-track constellation configurations for improved range resolution. IEEE Transactions on Geoscience and Remote Sensing, 49(1), 38–52.

    Article  Google Scholar 

  • Eldar, Y. C., Kuppinger, P., & Bolcskei, H. (2010). Block-sparse signals: Uncertainty relations and efficient recovery. IEEE Transactions on Signal Processing, 58(6), 3042–3054.

    Article  MathSciNet  Google Scholar 

  • Garmatyuk, D., & Brenneman, M. (2011). Adaptive multicarrier OFDM SAR signal processing. IEEE Transactions on Geoscience and Remote Sensing, 49(10), 3780–3790.

    Article  Google Scholar 

  • Gogineni, S., & Nehorai, A. (2012). Frequency-hopping code design for MIMO radar estimation using sparse modeling. IEEE Transactions on Signal Processing, 60(6), 3022–3035.

    Article  MathSciNet  Google Scholar 

  • He, F., Dong, Z., & Liang, D. (2014). A novel space–time coding Alamouti waveform scheme for MIMO-SAR implementation. IEEE Geoscience and Remote Sensing Letters, 11, 1–5. doi:10.1109/LGRS.2014.2333232.

    Article  Google Scholar 

  • Horn, R. A., & Johnson, C. R. (1985). Matrix analysis. Cambrige: Cambrige University Press.

    Book  MATH  Google Scholar 

  • Kim, J. H., Younis, M., Moreira, A., & Wiesbeck, W. (2013). A novel OFDM chirp waveform scheme for use of multiple transmitters in SAR. IEEE Geoscience and Remote Sensing Letters, 10(3), 568–572.

    Article  Google Scholar 

  • Krieger, G. (2014). MIMO-SAR: Opportunities and pitfalls. IEEE Transactions on Geoscience and Remote Sensing, 52(5), 2628–2645.

    Article  Google Scholar 

  • Meng, C. Z., Xu, J., Xia, X. G., Long, T., Mao, E. K., Yang, J., et al. (2013). MIMO-SAR waveform separation based on inter-pulse phase modulation and range-Doppler decouple filtering. Electronic Letters, 49(6), 420–422.

    Article  Google Scholar 

  • Mittermayer, J. & Martínez, J. M. (2003). Analysis of range ambiguity suppression in SAR by up and down chirp modulation for point and distributed targets. In Proceedings of the IEEE geoscience and remote sensing symposium (pp. 4077–4079).

  • Sen, S. (2014). PAPR-constrained pareto-optimal waveform design for OFDM-STAP radar. IEEE Transactions on Geoscience and Remote Sensing, 52(6), 3658–3669.

    Article  Google Scholar 

  • Tarchi, D., Oliveri, F., & Sammartino, P. F. (2013). MIMO radar and ground-based SAR imaging systems: Equivalent approaches for remote sensing. IEEE Transactions on Geoscience and Remote Sensing, 51(1), 425–435.

    Article  Google Scholar 

  • Wang, J., Liang, X. D., Ding, C. B., Chen, L. L., Zhou, L. J., & Dong, Y. W. (2014). An improved OFDM chirp waveform used for MIMO SAR system. Science China: Information Sciences, 57(6), 1–9.

    Article  MATH  Google Scholar 

  • Wang, W.-Q. (2013). Mitigating range ambiguities in high PRF SAR with OFDM waveform diversity. IEEE Geoscience and Remote Sensing Letters, 10(1), 101–105.

    Article  Google Scholar 

  • Wang, W.-Q. (2014). MIMO SAR chirp modulation diversity waveform design. IEEE Geoscience and Remote Sensing Letters, 11(9), 1644–1648.

    Article  Google Scholar 

  • Wang, W.-Q. (2015). MIMO SAR OFDM chirp waveform diversity design with random matrix modulation. IEEE Transactions on Geoscience and Remote Sensing, 53(3), 1615–1625.

    Article  Google Scholar 

  • Yan, H., Shen, G., Zetik, R., Hirsch, O., & Thoma, R. S. (2013). Ultra-wideband MIMO ambiguity function and its factorability. IEEE Transactions on Geoscience and Remote Sensing, 51(1), 504–518.

    Article  Google Scholar 

  • Yang, Y., & Blum, R. (2007). MIMO radar waveform design based on mutual information and minimum mean-square error estimation. IEEE Transactions on Aerospace and Electronics Systems, 43(1), 330–343.

    Article  Google Scholar 

  • Zhuge, X., & Yarovoy, A. G. (2011). A sparse aperture MIMO-SAR-based UWB imaging system for concealed weapon detection. IEEE Transactions on Geoscience and Remote Sensing, 49(1), 38–52.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. School of Communication and Information Engineering, University of Electronic Science and Technology of China, Chengdu, 611731, China

    Shengjuan Cheng & Wen-Qin Wang

  2. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China

    H. C. So

Authors
  1. Shengjuan Cheng
    View author publications

    You can also search for this author inPubMed Google Scholar

  2. Wen-Qin Wang
    View author publications

    You can also search for this author inPubMed Google Scholar

  3. H. C. So
    View author publications

    You can also search for this author inPubMed Google Scholar

Corresponding author

Correspondence to Wen-Qin Wang.

Additional information

The work described in this work was supported in by the Program for New Century Excellent Talents in University under grant NCET-12-0095, Sichuan Province Science Fund for Distinguished Young Scholars under grant 2013JQ0003, and a Marie Curie Fellowship (FP7/2007-2013, grant agreement PIIF-GA-2012-326672).

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Cheng, S., Wang, WQ. & So, H.C. MIMO radar OFDM chirp waveform diversity design with sparse modeling and joint optimization. Multidim Syst Sign Process 28, 237–249 (2017). https://doi.org/10.1007/s11045-015-0340-9

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11045-015-0340-9

Keywords