Uncertainty Analysis of the Normalized Frequency Estimation by Multipoint Interpolated DFT Approach

被引：1

作者：

Belega, Daniel ^{[1
]}

Dallet, Dominique ^{[2
]}

Petri, Dario ^{[3
]}

机构：

[1] Politehn Univ Timisoara, Fac Elect & Telecommun, Timisoara, Romania

[2] Univ Bordeaux, ENSEIRB, IMS Lab, Talence, France

[3] Univ Trent, Dept Ingn & Sci Informat, Trento, Italy

来源：

2009 IEEE INTERNATIONAL WORKSHOP ON ADVANCED METHODS FOR UNCERTAINTY ESTIMATION IN MEASUREMENT | 2009年

关键词：

normalized frequency estimation; multipoint interpolated DFT method; maximum sidelobe decay windows; uncertainty analysis; ALGORITHMS; ACCURACY;

D O I：

10.1109/AMUEM.2009.5207606

中图分类号：

TP39 [计算机的应用];

学科分类号：

081203 ; 0835 ;

摘要：

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 >= 2) is used and the number of interpolation points is 2J + 1 (J >= 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.

引用

页码：34 / +

页数：2

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