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Co-prime Sensing-Based Frequency Estimation Using Reduced Single-Tone Snapshots

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Abstract

In the paper, we propose a co-prime sensing-based frequency estimator by combining a simplified procedure of the Chinese remainder theorem and a phase-difference spectrum corrector. This estimator can accurately extract the frequency information from two adjacent snapshots after initialization. Some theoretical deductions and performance analysis are also presented. Numerical results show that the proposed estimator is robust to insufficient snapshots and noise.

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References

  1. E. Aboutanios, B. Mulgrew, Iterative frequency estimation by interpolation on Fourier coefficients. IEEE Trans. Signal Process. 53(4), 1237–1242 (2005)

    Article  MathSciNet  Google Scholar 

  2. C. Candan, Analysis and further improvement of fine resolution frequency estimation method from three DFT samples. IEEE Signal Process. Lett. 20(9), 913–916 (2013)

    Article  Google Scholar 

  3. X. Huang, X.-G. Xia, A fine resolution frequency estimator based on double sub-segment phase difference. IEEE Signal Process. Lett. 22(8), 1055–1059 (2015)

    Article  Google Scholar 

  4. X. Li, H. Liang, X.-G. Xia, A robust Chinese remainder theorem with its applications in frequency estimation from undersampled waveforms. IEEE Trans. Signal Process. 57(11), 4314–4322 (2009)

    Article  MathSciNet  Google Scholar 

  5. C.-L. Liu, P.P. Vaidyanathan, Design of coprime DFT arrays and filter banks, in Proceedings of 2014 48th Asilomar Conference on Signals, Systems and Computers, Nov 2014, pp. 455–459

  6. P.V.A. Mohan, Residue Number Systems: Algorithms and Architectures (Springer Science and Business Media, New York, 2012)

    Google Scholar 

  7. A. Omondi, A.B. Premkumar, Residue Number Systems, Theory and Implementation (Imperial College Press, Singapore, 2007)

    MATH  Google Scholar 

  8. D. Rife, R.R. Boorstyn, Single tone parameter estimation from discretetime observations. IEEE Trans. Inf. Theory 20(5), 591–598 (1974)

    Article  MATH  Google Scholar 

  9. J.S. Rogers, G.F. Edelmann, C.F. Gaumnd, Compressive beamforming with co-prime arrays. J. Acoust. Soc. Am. 135(4), 2393–2393 (2014)

    Article  Google Scholar 

  10. N.S. Szabo, R.I. Tanaka, Residue Arithmetic and Its Application to Computer Technology (McGraw-Hill, New York, 1967)

    MATH  Google Scholar 

  11. P.P. Vaidyanathan, P. Pal, Sparse sensing with co-prime samplers and arrays. IEEE Trans. Signal Process. 59(2), 573–586 (2011)

    Article  MathSciNet  Google Scholar 

  12. W. Wang, X.-G. Xia, Closed-form robust Chinese remainder theorem and its performance analysis. IEEE Trans. Signal Process. 58(11), 5655–5666 (2010)

    Article  MathSciNet  Google Scholar 

  13. Q. Wu, Q. Liang, Coprime sampling for nonstationary signal in radar signal processing. EURASIP J. Wirel. Commun. Netw. 2013(6), 3135–3140 (2013)

    MathSciNet  Google Scholar 

  14. T. Zhao, A. Nehorai, Sparse direction of arrival estimation using co-prime arrays with off-grid targets. IEEE Signal Process. Lett. 21(1), 26–29 (2014)

    Article  Google Scholar 

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Author information

Authors and Affiliations

  1. School of Electronic Information Engineering, Tianjin University, Tianjin, 300072, China

    Xiangdong Huang, Ziyang Yan & Senxue Jing

  2. School of Electrical Engineering and Automation, Tianjin University, Tianjin, 300072, China

    Hongwei Fang

  3. Department of Electrical and Computer Engineering, University of Delaware, Newark, DE, 19716, USA

    Li Xiao

Authors
  1. Xiangdong Huang
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  2. Ziyang Yan
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  3. Senxue Jing
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  4. Hongwei Fang
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  5. Li Xiao
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Corresponding author

Correspondence to Xiangdong Huang.

Additional information

This work was supported by the National Natural Science Foundation of China under Grant 61271322 and also supported by the Tianjin General Project of National Natural Science Foundation under Grant 11JCYBJC07900.

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Huang, X., Yan, Z., Jing, S. et al. Co-prime Sensing-Based Frequency Estimation Using Reduced Single-Tone Snapshots. Circuits Syst Signal Process 35, 3355–3366 (2016). https://doi.org/10.1007/s00034-015-0193-3

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  • DOI: https://doi.org/10.1007/s00034-015-0193-3

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