Uncertainty analysis of the normalized frequency estimation of a sine wave by three-point Interpolated DFT method

Author

Belega, Daniel ; Stoiciu, Dan ; Dallet, Dominique

Author_Institution

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

fYear

2008

fDate

21-22 July 2008

Firstpage

84

Lastpage

89

Abstract

The paper investigates the influence of the quantization noise on the normalized frequency estimation of a sine wave by three-point Interpolated Discrete Fourier Transform (IpDFT) method with maximum side lobe decay windows. The expression of the uncertainty of the normalized frequency is derived. Simulation results confirm the accuracy of the derived expression. Besides, the uncertainties of the normalized frequency estimations obtained by three-point IpDFT method and by IpDFT method with maximum side lobe decay windows are compared. From this comparison some important conclusions are drawn.

Keywords

discrete Fourier transforms; frequency estimation; interpolation; measurement errors; measurement uncertainty; quantisation (signal); IpDFT method; maximum side lobe decay window; normalized frequency estimation; quantization noise; sine wave; systematic error; three-point interpolated DFT method; uncertainty analysis; Brain modeling; Discrete Fourier transforms; Frequency estimation; Frequency measurement; Interpolation; Laboratories; Measurement uncertainty; Noise measurement; Quantization; Sampling methods; maximum side lobe decay windows; normalized frequency estimation; three-point interpolated DFT method; uncertainty analysis;

fLanguage

English

Publisher

ieee

Conference_Titel

Advanced Methods for Uncertainty Estimation in Measurement, 2008. AMUEM 2008. IEEE International Workshop on

Conference_Location

Trento

Print_ISBN

978-1-4244-2236-4

Electronic_ISBN

978-1-4244-2237-1

Type

conf

DOI

10.1109/AMUEM.2008.4589940

Filename

4589940