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Electronics and Telecommunications Research Institute (한국전자통신연구원)
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Improved Single-Tone Frequency Estimation by Averaging and Weighted Linear Prediction

  • So, Hing Cheung (Department of Electronic Engineering, City University of Hong Kong) ;
  • Liu, Hongqing (Tropical Marine Science Institute, National University of Singapore)
  • Received : 2010.03.11
  • Accepted : 2010.09.28
  • Published : 2011.02.28
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Abstract

This paper addresses estimating the frequency of a cisoid in the presence of white Gaussian noise, which has numerous applications in communications, radar, sonar, and instrumentation and measurement. Due to the nonlinear nature of the frequency estimation problem, there is threshold effect, that is, large error estimates or outliers will occur at sufficiently low signal-to-noise ratio (SNR) conditions. Utilizing the ideas of averaging to increase SNR and weighted linear prediction, an optimal frequency estimator with smaller threshold SNR is developed. Computer simulations are included to compare its mean square error performance with that of the maximum likelihood (ML) estimator, improved weighted phase averager, generalized weighted linear predictor, and single weighted sample correlator as well as Cramer-Rao lower bound. In particular, with smaller computational requirement, the proposed estimator can achieve the same threshold and estimation performance of the ML method.

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References

  1. Z. Wang and S.S. Abeysekera, "Frequency Estimation via Multiple Lags of Correlations in the Presence of Broadband Colored Noise," Signal Process., vol. 86, no. 11, Nov. 2006, pp. 3371-3387. https://doi.org/10.1016/j.sigpro.2006.02.034
  2. Y.-C. Xiao, P. Wei, and H.-M. Tai, "Autocorrelation-Based Algorithm for Single-Frequency Estimation," Signal Process., vol. 87, no. 6, Jun. 2007, pp.1224-1233. https://doi.org/10.1016/j.sigpro.2006.10.012
  3. I. Djurovic and V.V. Lukin, "Estimation of Single-Tone Signal Frequency by Using the L-DFT," Signal Process., vol. 87, no. 6, Jun. 2007, pp. 1537-1544. https://doi.org/10.1016/j.sigpro.2006.12.017
  4. S.M. Kay, Fundamentals of Statistical Signal Processing: Estimation Theory, Prentice-Hall, 1993.
  5. D.C. Rife and R.R. Boorstyn, "Single Tone Parameter Estimation from Discrete-Time Observations," IEEE Trans. Inf. Theory, vol. 20, no. 5, Sept. 1974, pp. 591-598. https://doi.org/10.1109/TIT.1974.1055282
  6. S. Kay, "A Fast and Accurate Single Frequency Estimator," IEEE Trans. Acoust., Speech, Signal Process., vol. 37, no. 12, Dec. 1989, pp. 1987-1990. https://doi.org/10.1109/29.45547
  7. H.C. So and F.K.W. Chan, "A Generalized Weighted Linear Predictor Frequency Estimation Approach for a Complex Sinusoid," IEEE Trans. Signal Process., vol. 54, no. 4, Apr. 2006, pp. 1304-1315. https://doi.org/10.1109/TSP.2005.863119
  8. D. Kim, M.J. Narasimha, and D.C. Cox, "An Improved Single Frequency Estimator," IEEE Signal Process. Lett., vol. 3, no. 7, Jul. 1996, pp. 212-214. https://doi.org/10.1109/97.508168
  9. G.N. Tavares, L.M. Tavares, and A. Petrolino, "An Improved Feedforward Frequency Offset Estimator," IEEE Trans. Signal Process., vol. 56, no. 5, May 2008, pp. 2155-2160. https://doi.org/10.1109/TSP.2007.913166
  10. Y.-X. Yao and S.M. Pandit, "Variance of Least Squares Estimators for a Damped Sinusoidal Process," IEEE Trans. Signal Process., vol. 42, no. 11, Nov. 1994, pp. 3016-3025. https://doi.org/10.1109/78.330362
  11. W. Ng et al., "A Study on Particle Filters for Single-Tone Frequency Tracking," IEEE Trans. Aerospace Electron. Syst., vol. 45, no. 3, Jul. 2009, pp. 1111-1125. https://doi.org/10.1109/TAES.2009.5259187
  12. L. Tan and J. Jiang, "Novel Adaptive IIR Filter for Frequency Estimation and Tracking," IEEE Signal Process. Mag., vol. 26, no. 6, Nov. 2009, pp. 186-189. https://doi.org/10.1109/MSP.2009.934189

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