Skip to main content
Log in

Joint Angle–Frequency Estimation Using Nested Sampling with One-Bit Quantization

  • Short Paper
  • Published:
Circuits, Systems, and Signal Processing Aims and scope Submit manuscript

Abstract

The problem of joint angle and frequency estimation is considered in this paper. An algorithm using spatial–temporal nested sampling and one-bit quantization is developed. It is shown that under moderate condition when the signal-to-noise ratio is low enough, the defined one-bit correlation matrix has linear relationship with the unquantized one, and therefore, subspace-based algorithms can be applied to this one-bit correlation matrix directly. The enhanced identification performance, offered by the nested sampling, can also be provided when one-bit quantization is used. Simulation results are provided to verify the performance of the presented algorithm.

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

Similar content being viewed by others

References

  1. O. Bar-Shalom, A.J. Weiss, DOA estimation using one-bit quantized measurements. IEEE Trans. Aerosp. Electron. Syst. 38(3), 868–884 (2002)

    Article  Google Scholar 

  2. M. Djeddou, A. Belouchrani, S. Aouada, Maximum likelihood angle-frequency estimation in partially known correlated noise for low-elevation targets. IEEE Trans. Signal Process. 53(8), 3057–3064 (2005)

    Article  MathSciNet  Google Scholar 

  3. B.H. Fleury, M. Tschudin, R. Heddergott, D. Dahlhaus, K.I. Pedersen, Channel parameter estimation in mobile radio environments using the SAGE algorithm. IEEE J. Sel. Areas Commun. 17(3), 434–450 (1999)

    Article  Google Scholar 

  4. Y. Gao, D. Hu, Y. Chen et al., Gridless 1-b DOA estimation exploiting SVM approach. IEEE Commun. Lett. 21(10), 2210–2213 (2017)

    Article  Google Scholar 

  5. L. Ge, T. Chen, X. Huang, Simultaneous frequency and direction estimation from parallel-array data. IEE Proc. Radar Sonar Navig. 142(1), 6–10 (1995)

    Article  Google Scholar 

  6. K. Han, A. Nehorai, Improved source number detection and direction estimation with nested arrays and ULAs using jackknifing. IEEE Trans. Signal Process. 61(23), 6118–6128 (2013)

    Article  MathSciNet  Google Scholar 

  7. K. Han, A. Nehorai, Nested array processing for distributed sources. IEEE Signal Process. Lett. 21(9), 1111–1114 (2014)

    Article  Google Scholar 

  8. J. He, Z.H. Zhang, T. Shu et al., Joint angle-frequency estimation with spatio-temporal nested sampling. IET Radar Sonar Navig. 11(9), 373–1378 (2017)

    Article  Google Scholar 

  9. X. Huang, B. Liao, One-bit MUSIC. IEEE Signal Process. Lett. 26(7), 961–965 (2019)

    Article  Google Scholar 

  10. G. Jacovitti, A. Neri, Estimation of the autocorrelation function of complex Gaussian stationary processes by amplitude clipped signals. IEEE Trans. Inf. Theory 40(1), 239–245 (1994)

    Article  Google Scholar 

  11. A.N. Lemma, A.J. van der Veen, E.F. Deprettere, Analysis of joint angle-frequency estimation using ESPRIT. IEEE Trans. Signal Process. 51(5), 1264–1283 (2003)

    Article  MathSciNet  Google Scholar 

  12. F. Li, S. Hong, Y. Gu, L. Wang, An optimization-oriented algorithm for sparse signal reconstruction. IEEE Signal Process. Lett. 26(3), 515–519 (2019)

    Article  Google Scholar 

  13. F. Li, S. Hong, Y. Gu, L. Wang, Joint-sparse signal reconstruction based on common support set refinement. IEEE Signal Process. Lett. 26(9), 1373–1377 (2019)

    Article  Google Scholar 

  14. Y. Li, C. Tao, G. Seco-Granados et al., Channel estimation and performance analysis of one-bit massive MIMO systems. IEEE Trans. Signal Process. 65(15), 4075–4089 (2017)

    Article  MathSciNet  Google Scholar 

  15. J.D. Lin, W.H. Fang, Y.Y. Wang, J.T. Chen, FSF MUSIC for joint DOA and frequency estimation and its performance analysis. IEEE Trans. Signal Process. 54(12), 4529–4542 (2006)

    Article  Google Scholar 

  16. C. Liu, P.P. Vaidyanathan, One-bit sparse array DOA estimation. in IEEE International Conference on Acoustics, Speech and Signal Processing (ICASSP), (New Orleans, 2017), pp. 3126–3130

  17. P. Pal, P.P. Vaidyanathan, Nested array: a novel approach to array processing with enhanced degrees of freedom. IEEE Trans. Signal Process. 58(8), 4167–4181 (2010)

    Article  MathSciNet  Google Scholar 

  18. K. Shabir, T.H. Al Mahmud, R. Zheng et al., Generalized super-resolution DOA estimation array configurations’ design exploiting sparsity in coprime arrays. Circuits Syst. Signal Process 38(10), 4723–4738 (2019)

    Article  Google Scholar 

  19. X.D. Wang, Joint angle and frequency estimation using multiple-delay output based on ESPRIT. EURASIP J. Adv. Signal Process. 2010, Article ID 358659 (2010)

  20. L. Xu, F. Wen, X. Zhang, A novel unitary PARAFAC algorithm for joint DOA and frequency estimation. IEEE Commun. Lett. 23(4), 660–663 (2019)

    Article  Google Scholar 

  21. J. Yang, G.S. Liao, J. Li, Robust adaptive beamforming in nested array. Signal Process. 114, 143–149 (2015)

    Article  Google Scholar 

  22. C. Yunhe, Joint estimation of angle and Doppler frequency for bistatic MIMO radar. Electron. Lett. 46(2), 170–172 (2010)

    Article  Google Scholar 

  23. H. Zayyani, F. Haddadi, M. Korki, One-bit spectrum sensing in cognitive radio sensor networks. Circuits Syst. Signal Process. (2019). https://doi.org/10.1007/s00034-019-01274-z

  24. C. Zhou, Y. Gu, X. Fan et al., Direction-of-arrival estimation for coprime array via virtual array interpolation. IEEE Trans. Signal Process. 66(22), 5956–5971 (2018)

    Article  MathSciNet  Google Scholar 

  25. C. Zhou, Y. Gu, S. He et al., A robust and efficient algorithm for coprime array adaptive beamforming. IEEE Trans. Veh. Technol. 67(2), 1099–1112 (2018)

    Article  Google Scholar 

  26. C. Zhou, Y. Gu, Z. Shi et al., Off-grid direction-of-arrival estimation using coprime array interpolation. IEEE Signal Process. Lett. 25(11), 1710–1714 (2018)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jin He.

Additional information

Publisher's Note

Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.

This work was supported in part by the National Key Research and Development Program of China under grant 2018YFB0505103 and in part by the National Natural Science Foundation of China under grant 61771302.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Han, X., Shu, T., He, J. et al. Joint Angle–Frequency Estimation Using Nested Sampling with One-Bit Quantization. Circuits Syst Signal Process 39, 4187–4197 (2020). https://doi.org/10.1007/s00034-020-01351-8

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00034-020-01351-8

Keywords

Navigation