Title :
Uncertainty analysis of the normalized frequency estimation by Multipoint Interpolated DFT Approach
Author :
Belega, Daniel ; Dallet, Dominique ; Petri, Dario
Author_Institution :
Fac. of Electron. & Telecommun., Politeh. Univ. of Timisoara, Timisoara, Romania
Abstract :
In this paper the influence of a stationary white noise on the estimation of a sine-wave normalized frequency by using a Weighted Multipoint Interpolated Discrete Fourier transform (WMIpDFT) method is investigated. The expression of the normalized frequency estimates uncertainty is derived in the case when a H-term maximum sidelobe decay window (H ges 2) is used and the number of interpolation points is 2J + 1 (J ges 1). Based on this expression the statistical efficiency of the WMIpDFT method with respect to the unbiased Cramer-Rao lower bound is investigated. Moreover, a constraint on the minimum number of acquired samples which ensures accurate estimates of the normalized frequency with a high confidence level is derived. All the derived expressions are validated by means of computer simulations.
Keywords :
discrete Fourier transforms; frequency estimation; interpolation; Weighted Multipoint Interpolated Discrete Fourier transform; interpolation points; maximum sidelobe decay windows; multipoint interpolated DFT approach; normalized frequency estimation; sine-wave normalized frequency; uncertainty analysis; Computer simulation; Discrete Fourier transforms; Frequency estimation; Frequency measurement; Interference; Interpolation; Laboratories; Measurement uncertainty; Noise measurement; White noise; maximum sidelobe decay windows; multipoint interpolated DFT method; normalized frequency estimation; uncertainty analysis;
Conference_Titel :
Advanced Methods for Uncertainty Estimation in Measurement, 2009. AMUEM 2009. IEEE International Workshop on
Conference_Location :
Bucharest
Print_ISBN :
978-1-4244-3593-7
Electronic_ISBN :
978-1-4244-3593-7
DOI :
10.1109/AMUEM.2009.5207606
