Performance comparison of the three-parameter and the four-parameter sine-fit algorithms

Author

Belega, Daniel ; Dallet, Dominique ; Petri, Dario

Author_Institution

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

fYear

2011

fDate

10-12 May 2011

Firstpage

1

Lastpage

4

Abstract

The aim of this paper is to compare the performances of the three-parameter sine-fit (3PSF) and the four-parameter sine-fit (4PSF) algorithm when a sine wave corrupted by a Gaussian noise is analyzed. Algorithm accuracy is evaluated by means of the expected sum-squared fit error and the normalized frequency required by the 3PSF algorithm is estimated by the Interpolated Discrete Fourier Transform (IpDFT) method. It is shown that the 4PSF algorithm produces a somewhat better fit than the 3PSF algorithm, but the achieved accuracies are almost equal when the number of acquired samples is greater than 512. The theoretical expressions derived in the paper are confirmed by means of both computer simulations and experimental results.

Keywords

Gaussian noise; discrete Fourier transforms; interpolation; signal processing; 3PSF algorithm; 4PSF algorithm; Gaussian noise; IpDFT method; computer simulations; four-parameter sine-fit algorithms; interpolated discrete Fourier transform method; sum-squared fit error; three-parameter sine-fit algorithms; Accuracy; Discrete Fourier transforms; Frequency estimation; Heuristic algorithms; IEEE standards; Interference; Signal to noise ratio; IEEE Standards 1057 and 1241; interpolated DFT method; maximum sidelobe decay windows; noncoherent sampling; sine-fit algorithms;

fLanguage

English

Publisher

ieee

Conference_Titel

Instrumentation and Measurement Technology Conference (I2MTC), 2011 IEEE

Conference_Location

Binjiang

ISSN

1091-5281

Print_ISBN

978-1-4244-7933-7

Type

conf

DOI

10.1109/IMTC.2011.5944010

Filename

5944010