Skip to main content
Log in

Highly accurate frequency estimation of brief duration signals in noise

  • Original Paper
  • Published:
Signal, Image and Video Processing Aims and scope Submit manuscript

Abstract

A highly accurate frequency estimation providing suppression of windowing effects, denoising performances and frequency resolutions in excess of Gabor–Heisenberg limit, is proposed for brief duration signals. It is shown that unbiased frequency estimation with vanishing frequency variances is achieved far below Cramer–Rao lower bound when signal-to-noise ratio reaches vicinity of threshold values. Observed performances provide novel and valuable perspectives for efficient and accurate frequency estimation for brief duration signals in noise.

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.

Institutional subscriptions

Fig. 1
Fig. 2

Similar content being viewed by others

References

  1. Hannan, E.J.: The estimation of frequency. J. Appl. Prob. 10(3), 510–519 (1973)

    Article  MathSciNet  MATH  Google Scholar 

  2. McMahon, D.R.A., Barrett, R.F.: An efficient method for the estimation of the frequency of a single tone in noise from the phases of discrete fourier transforms. Signal Process. 11, 169–177 (1986)

    Article  Google Scholar 

  3. McMahon, D.R.A., Barrett, R.F.: Generalization of the method for the estimation of the frequencies of tones in noise from the phases of discrete fourier transforms. Signal Process. 12(4), 371–383 (1987)

    Article  Google Scholar 

  4. Barrett, R.F., McMahon, D.R.A.: ML Estimation of the fundamental frequency of a harmonic series. In: International Symposium of Signal Processing and its Applications (1987)

  5. Rice, J.A., Rosenblatt, M.: On frequency estimation. Biometrika 75, 477–484 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  6. Kay, S.M.: A fast and accurate single frequency estimator. IEEE Trans. Acoust. Speech Signal Process. 37(12), 1987–1989 (1989)

    Article  Google Scholar 

  7. Clarkson, V.: Efficient single frequency estimators. In: International Symposium on Signal Processing and its Applications, Gold Coast (1992)

  8. Richards, M.A.: Fundamentals of Radar Signal Processing. McGrawHill, New York (2005)

    Google Scholar 

  9. Candan, C.: A method for fine resolution frequency estimation from three DFT samples. IEEE Signal Process. Lett. 8(6), 351–354 (2011)

    Article  Google Scholar 

  10. Rife, D.C., Boorstyn, R.R.: Single tone parameter estimation from discrete-time observation. IEEE Trans. Inf. Theory 20(5), 591–598 (1974)

    Article  MATH  Google Scholar 

  11. Rife, D.C., Boorstyn, R.R.: Multiple tone parameter estimation from discrete-time observation. Bell Syst. Tech. J. 55, 1389–1410 (1976)

    Article  MathSciNet  Google Scholar 

  12. Quin, B.G.: Estimating frequency by interpolation using Fourier coefficients. IEEE Trans. Signal Process. 42, 1264–1268 (1994)

    Article  Google Scholar 

  13. Quin, B.G.: Estimating frequency, amplitude and phase from DFT of a time series. IEEE Trans. Signal Process. 45, 814–817 (1997)

    Article  Google Scholar 

  14. Reisenfel, S., Aboutanios, E.: A new algorithm for the estimation of the frequency of a complex exponential in additive Gaussian noise. IEEE Commun. Lett. 7(11), 549–551 (2003)

    Article  Google Scholar 

  15. Reisenfel, S.: A highly accurate algorithm for the estimation of the frequency of a complex exponential in additive Gaussian noise. In: Proceedings 5th Australian Communication Theory Workshop (2007)

  16. Jacobsen, E., Kootsookos, P.: Fast, accurate frequency estimators. IEEE Signal Process. Mag. 58(7), 3879–3883 (2010)

    Article  Google Scholar 

  17. Chan, K.W., So, H.C.: Accurate frequency estimation for real harmonic sinusoids. IEEE Signal Process. Lett. 11(7), 609–612 (2007)

    Article  Google Scholar 

  18. Yahya Bey, N.: Multi-resolution fourier analysis, part I : fundamentals. Int. J. Commun. Netw. Syst. Sci. 4(6), 364–371 (2011)

    Google Scholar 

  19. Yahya Bey, N.: Multi-resolution fourier analysis, part II : missing signal recovery and observation results. Int. J. Commun. Netw. Syst. Sci. 5(1), 28–36 (2012)

    Google Scholar 

  20. Yahya Bey, N.: Multi-resolution fourier analysis: extraction and missing signal recovery of short buried signals in noise. Signal Image Video Process 8(8), 1483–1495 (2014)

    Article  Google Scholar 

  21. Yahya Bey, N.: Multi-resolution fourier analysis: time-frequency resolution in excess of Gabor–Heisenberg limit. Signal Image Video Process. 8(4), 765–778 (2014)

    Article  Google Scholar 

  22. Yahya Bey, N.: Multi-resolution fourier analysis: achieved high resolutions with suppressed finite observation effects. Signal, Image and Video processing 8(8), 1483–1495 (2015)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Nourédine Yahya Bey.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yahya Bey, N. Highly accurate frequency estimation of brief duration signals in noise. SIViP 12, 1279–1283 (2018). https://doi.org/10.1007/s11760-018-1280-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11760-018-1280-2

Keywords

Navigation