[go: up one dir, main page]
More Web Proxy on the site http://driver.im/ Skip to main content
Log in

Sampling and recovery of angle-modulated signals on the basis of the compressed sensing and event timing techniques

  • Published:
Automatic Control and Computer Sciences Aims and scope Submit manuscript

Abstract

Informative parameters of angle-modulated signals evaluated by the zero-crossing time instants are studied. Specific features of the compressed sensing technique used to restore modulating signals are considered. It is shown that the standard compressed signal processing techniques based on the minimization do not enable the solution of the problem of the off-the-grid recovery of spectral components. It is proposed to use an iterative method for signal recovery based on successive localization of the spectral peaks between the grid nodes.

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

Access this article

Subscribe and save

Springer+ Basic
£29.99 /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 includes VAT (United Kingdom)

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Jerri, A.J., The Shannon sampling theorem-Its various extensions and applications: A tutorial review, Proc. IEEE, 1977, vol. 65, pp. 1565–1596.

    Article  MATH  Google Scholar 

  2. Artyukh, Yu., Vedin, V. and Rybakov, A., A new approach to high performance continuous time interval counting, Proc. 11th Polish Nat. Conf. “Application of Microprocessors in Automatic Control and Measurements”, Warsaw, 1998, pp. 139–143.

    Google Scholar 

  3. Artyukh, Yu., Bespal’ko, V., and Boole, E., Potential of the DSP-based method for fast precise event timing, Electronics and Electrical Engineering, 2009, no. 4, pp. 19–22.

    Google Scholar 

  4. Donoho, D., Compressed sensing, Transactions on Information Theory, 2006, vol. 52, pp. 1289–1306.

    Article  MATH  MathSciNet  Google Scholar 

  5. Baraniuk, R.G., Compressive sensing, IEEE Signal Processing Magazine, 2007, pp. 118–120, 124.

    Google Scholar 

  6. Shapiro, H.S. and Silverman, R.A., Alias-free sampling of random noise, SIAM Journal on Applied Mathematics, 1960, vol. 8, pp. 245–248.

    MathSciNet  Google Scholar 

  7. Duarte, M.F. and Baraniuk, R.G., Spectral compressive sensing, Appl. Compt. Analysis, 2013, vol. 35, pp. 111–129.

    MathSciNet  Google Scholar 

  8. Tang, G., Bhaskar, B.N., Shah, P., and Recht, B., Compressed sensing off the grid, IEEE Trans. Inform. Theory, 2013, vol. 59, pp. 7465–7490.

    Article  MathSciNet  Google Scholar 

  9. Stone, R.B., FM demodulator zero-crossing detector, US Patent 3 491305, 1970.

    Google Scholar 

  10. Demmer, W.H., Gutsmann, R.D., Bergs, N.A., Heinemann, I.B., and Warmuth, O.L., FM demodulator using interpolation to approximate zero crossings, US Patent 4 570 126, 1986.

    Google Scholar 

  11. Candes, E.J. and Wakin, M.B., An introduction to compressive sampling, IEEE Signal Processing Magazine, 2008, vol. 25, no. 2, pp. 21–30.

    Article  Google Scholar 

  12. Pearson, K., On lines and planes of closest fit to systems of points in space, Philos. Mag., 1901, vol. 2, pp. 559–572.

    Article  Google Scholar 

  13. Bool, S.F., Suppression of acoustic noise in speech using spectral subtraction, IEEE Transactions on Acoustics, Speech and Signal Processing, 1979, vol. 27, pp. 113–120.

    Article  Google Scholar 

  14. Bilinskis, I. and Mikelsons, A., Randomized Signal Processing, Prentice-Hall Int. (UK), 1992.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. S. Rybakov.

Additional information

Original Russian Text © A.S. Rybakov, 2014, published in Avtomatika i Vychislitel’naya Tekhnika, 2014, No. 3, pp. 63–78.

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Rybakov, A.S. Sampling and recovery of angle-modulated signals on the basis of the compressed sensing and event timing techniques. Aut. Control Comp. Sci. 48, 167–179 (2014). https://doi.org/10.3103/S0146411614030067

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.3103/S0146411614030067

Keywords

Navigation