Multipoint Interpolated DFT method for frequency estimation

Author

Belega, Daniel ; Dallet, Dominique

Author_Institution

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

fYear

2009

fDate

23-26 March 2009

Firstpage

1

Lastpage

6

Abstract

The accuracy of the frequency estimation of a multifrequency signal component by Interpolated Discrete Fourier Transform (IpDFT) method is affected by systematic errors. In a Weighted Multipoint Interpolated Discrete Fourier Transform (WMIpDFT) method has been proposed in order to reduce these errors. This method uses only the rectangular and the 2-term maximum sidelobe decay windows. In this paper the results of the method proposed in are generalized for the maximum sidelobe decay windows with higher order than two, which are used to improve the performance by reducing the systematic errors. When the H-term maximum sidelobe decay window (H ges 2) is used and the number of interpolation points is (2J + 1), with 1 les J les H-1, the analytical formula to estimate the frequency is derived. Then, the performance of the obtained WMIpDFT method is analyzed by means of computer simulations.

Keywords

discrete Fourier transforms; interpolation; 2-term maximum sidelobe decay windows; H-term maximum sidelobe decay window; frequency estimation; interpolated discrete Fourier transform method; multifrequency signal component; multipoint interpolated DFT method; Computer errors; Computer simulation; Discrete Fourier transforms; Frequency estimation; Gaussian noise; Interpolation; Laboratories; Parameter estimation; Performance analysis; Signal processing; Discrete Fourier transform (DFT); interpolation; parameter estimation; signal processing;

fLanguage

English

Publisher

ieee

Conference_Titel

Systems, Signals and Devices, 2009. SSD '09. 6th International Multi-Conference on

Conference_Location

Djerba

Print_ISBN

978-1-4244-4345-1

Electronic_ISBN

978-1-4244-4346-8

Type

conf

DOI

10.1109/SSD.2009.4956674

Filename

4956674