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Electronics and Telecommunications Research Institute (한국전자통신연구원)
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Linear Prediction Approach for Accurate Dual-Channel Sine-Wave Parameter Estimation in White Gaussian Noise

  • So, Hing-Cheung (Department of Electronic Engineering, City University of Hong Kong) ;
  • Zhou, Zhenhua (Department of Electronic Engineering, City University of Hong Kong)
  • Received : 2011.11.20
  • Accepted : 2012.02.07
  • Published : 2012.08.30
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Abstract

The problem of sinusoidal parameter estimation at two channels with common frequency in white Gaussian noise is addressed. By making use of the linear prediction property, an iterative linear least squares (LLS) algorithm for accurate frequency estimation is devised. The remaining parameters are then determined according to the LLS fit with the use of the frequency estimate. It is proven that the variance of the frequency estimate achieves Cram$\acute{e}$r-Rao lower bound at sufficiently small noise conditions.

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References

  1. T. Radil, P.M. Ramos, and A.C. Serra, "Impedance Measurement with Sine-Fitting Algorithms Implemented in a DSP Portable Device," IEEE Trans. Instrum. Meas., vol. 57, no. 1, Jan. 2008, pp. 197-204. https://doi.org/10.1109/TIM.2007.908276
  2. P. Handel, "Parameter Estimation Employing a Dual-Channel Sine-Wave Model under a Gaussian Assumption," IEEE Trans. Instrum. Meas., vol. 57, no. 8, Aug. 2008, pp. 1661-1669. https://doi.org/10.1109/TIM.2008.923782
  3. P.M. Ramos, F.M. Janeiro, and T. Radil, "Performance Comparison of Three Algorithms for Two-Channel Sinewave Parameter Estimation: Seven Parameter Sine Fit, Ellipse Fit, Spectral Sinc Fit," Proc. IMEKO World Congress, Lisbon, Portugal, vol. 1, Sept. 2009, pp. 480-484.
  4. F.K.W. Chan et al., "Accurate Parameter Estimation for Wave Equation," Prog. Electromagn. Research, vol. 102, 2010, pp. 31-48. https://doi.org/10.2528/PIER09122301
  5. F.K.W. Chan et al., "Iterative Quadratic Maximum Likelihood Based Estimator for a Biased Sinusoid," Signal Process., vol. 90, no. 6, June 2010, pp. 2083-2086. https://doi.org/10.1016/j.sigpro.2009.11.025
  6. F.K.W. Chan et al., "Efficient Approach for Sinusoidal Frequency Estimation of Gapped Data," IEEE Signal Process. Lett., vol. 17, no. 6, June 2010, pp. 611-614. https://doi.org/10.1109/LSP.2010.2046094

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