Influence of the noise on the amplitude estimation of a sine-wave by the three-point Interpolated DFT method

Abstract : In this paper the influence of a stationary white noise on the estimation of a sine-wave amplitude by means of the three-point Interpolated Discrete Fourier Transform (IpDFT) method is investigated. The expression of the amplitude estimator variance is derived when the H-term maximum sidelobe decay window (H ≥ 2) is employed. Based on the derived expression the statistical efficiency of the three-point IpDFT method with respect to the unbiased Cramer-Rao Lower Bound (CRLB) is analyzed. Computer simulations confirm the accuracy of the derived expression for the amplitude estimator variance.
Complete list of metadatas

https://hal.archives-ouvertes.fr/hal-00560327
Contributor : Dominique Dallet <>
Submitted on : Friday, January 28, 2011 - 9:00:51 AM
Last modification on : Thursday, January 11, 2018 - 6:21:08 AM

Identifiers

Citation

Daniel Belega, Dominique Dallet, Goulven Eynard. Influence of the noise on the amplitude estimation of a sine-wave by the three-point Interpolated DFT method. 4th International Symposium on Communications, Control and Signal Processing (ISCCSP), 2010, Limassol, Cyprus. pp.1-5, ⟨10.1109/ISCCSP.2010.5463463⟩. ⟨hal-00560327⟩

Share

Metrics

Record views

79