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

Author

Belega, Daniel ; Dallet, Dominique ; Eynard, Goulven

Author_Institution

Fac. of Electron. & Telecommun., Univ. Politeh. of Timisoara, Timisoara, Romania

fYear

2010

fDate

3-5 March 2010

Firstpage

1

Lastpage

5

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 Â¿ 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.

Keywords

amplitude estimation; discrete Fourier transforms; interpolation; signal processing; white noise; Cramer-Rao lower bound; DFT method; H-term maximum sidelobe decay window; amplitude estimator variance; discrete Fourier Transform; sine-wave amplitude estimation; stationary white noise; statistical efficiency; three-point interpolated DFT method; Amplitude estimation; Computer simulation; Discrete Fourier transforms; Frequency estimation; Interference; Noise level; Phase estimation; Process control; Sampling methods; White noise;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Control and Signal Processing (ISCCSP), 2010 4th International Symposium on

Conference_Location

Limassol

Print_ISBN

978-1-4244-6285-8

Type

conf

DOI

10.1109/ISCCSP.2010.5463463

Filename

5463463