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Adaptive frequency estimation of sinusoidal signals in colored non-Gaussian noises

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Abstract

This paper studies the problem of sinusoidal frequency estimation in colored non-Gaussian ARMA noises. A new adaptive approach is proposed by using the second-and third-order statistics of the measurements. Because of the simultaneous establishment of the signal and noise models, the new approach is applicable for tracking the frequencies at each time instant for stationary and nonstationary signal and/or noise cases. The effectiveness of the new approach is demonstrated by extensive computer simulations. As expected, the approach proposed in this paper outperforms the correlation-based approaches in suppressing the effects of the colored non-Gaussian ARMA noises.

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References

  1. J. A. Cadzow, Spectral estimation: An overdetermined rational model equation approach,Proc. IEEE, vol. 70, 707–739, 1982.

    Google Scholar 

  2. G. B. Giannakis and J. M. Mendel, Cumulant-based order determination of non-Gaussian ARMA models,IEEE Trans. Acoust. Speech Signal Process., vol. ASSP-38, 1411–1422, August 1994.

    Google Scholar 

  3. M. J. Hinich, D. Marandino, and E. J. Sullivan, Bispectrum of ship-radiated noise.J. Acoust. Soc. Am., vol. 85, 1512–1517, April 1989.

    Google Scholar 

  4. S. A. Kassam,Signal Detection in Non-Gaussian Noise, Springer-Verlag, New York, 1988.

    Google Scholar 

  5. S. M. Kay and S. L. Marple, Spectrum analysis: A modern perspective,Proc. IEEE, vol. 69, 1380–1419, 1981.

    Google Scholar 

  6. Y.-C. Liang, Non-minimum phase system identification and harmonic retrieval in noise, Ph.D. dissertation, Jilin University of Technology, China, December 1993.

    Google Scholar 

  7. K.-S. Lii and T.-H. Tsou, Detecting sinusoids in non-Gaussian noise,J. Time Ser. Anal., vol. 13, no. 5, 391–409, 1992.

    Google Scholar 

  8. J. M. Mendel, Tutorial on higher-order statistics (spectra) in signal processing and system theory: Theoretical results and some applications,Proc. IEEE, vol. 79, 278–305, March 1991.

    Google Scholar 

  9. R. Roy, A. Paulraj, and T. Kailth, ESPRIT — A subspace rotation approach to estimation of parameters of cisoids in noise,IEEE Trans. Acoust. Speech Signal Process., vol. ASSP-34, 1340–1342, 1986.

    Google Scholar 

  10. B. M. Sadler and G. B. Giannakis, Estimation and detection in non-Gaussian noise using higher order statistics,IEEE Trans. Signal Process., vol. SP-42, no. 10, 2729–2741, 1994.

    Google Scholar 

  11. R. Schmidt, Multiple emitter location and signal parameter estimation,RADC Spectrum Estimation Workshop Record, 243–258, 1979.

  12. A. Swami and J. M. Mendel, Cumulant-based approach to the harmonic retrieval and related problems,IEEE Trans. Signal Process., vol. SP-39, 1099–1109, 1991.

    Google Scholar 

  13. E. J. Wegman, S. C. Schwartz, and J. B. Thomas, eds.,Topics in Non-Gaussian Signal Processing, Springer-Verlag, New York, 1989.

    Google Scholar 

  14. K. Y. Wong, and E. Polak, Identification of linear discrete time systems using the instrumental variable method,IEEE Trans. Automat. Control, vol. AC-12, 707–718, December 1967.

    Google Scholar 

  15. X.-D. Zhang, Y.-C. Liang, and Y.-D. Li, A hybrid approach to harmonic retrieval in non-Gaussian ARMA noise,IEEE Trans. Inform. Theory, vol. IT-40, 1220–1226, 1994.

    Google Scholar 

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Liang, YC. Adaptive frequency estimation of sinusoidal signals in colored non-Gaussian noises. Circuits Systems and Signal Process 19, 517–533 (2000). https://doi.org/10.1007/BF01271286

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  • DOI: https://doi.org/10.1007/BF01271286

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