Influence of systematic errors on a sine wave frequency estimation by means of Interpolated DFT method

Author

Belega, Daniel ; Dallet, Dominique

Author_Institution

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

fYear

2008

Firstpage

1436

Lastpage

1439

Abstract

The accuracy of a sine wave frequency estimation by means of interpolated discrete Fourier transform (IpDFT) method is affected by systematic errors. They are due to the interferences from the image parts of the sine wave spectrum and depend on the acquisition parameter - number of recorded sine wave cycles (lambda₀). In this paper, for a sine wave corrupted by quantization noise, the accuracy of the sine wave frequency estimation by means of IpDFT method using the Hann window is analyzed as function of lambda₀. This study allows us to determine a condition for the integer part of lambda₀ which ensures that the systematic errors are very small compared with the quantization noise. Simulation results confirm the effectiveness of the derived condition.

Keywords

discrete Fourier transforms; frequency estimation; interpolation; measurement errors; quantisation (signal); spectral analysis; Hann window; discrete Fourier transform; interferences; interpolated DFT method; quantization noise; sine wave frequency estimation; spectral analysis; systematic errors; Computer errors; Computer simulation; Discrete Fourier transforms; Error analysis; Estimation error; Frequency estimation; Interference; Laboratories; Quantization; Sampling methods; frequency estimation; interpolated DFT method; systematic errors;

fLanguage

English

Publisher

ieee

Conference_Titel

Communications, Control and Signal Processing, 2008. ISCCSP 2008. 3rd International Symposium on

Conference_Location

St Julians

Print_ISBN

978-1-4244-1687-5

Electronic_ISBN

978-1-4244-1688-2

Type

conf

DOI

10.1109/ISCCSP.2008.4537452

Filename

4537452