Metrological analysis of the LIDFT method

Author

Borkowski, Józef ; Mroczka, Janusz

Author_Institution

Electron. Dept., Wroclaw Univ. of Technol., Poland

Volume

51

Issue

1

fYear

2002

fDate

2/1/2002 12:00:00 AM

Firstpage

67

Lastpage

71

Abstract

The estimation error components in the DFT linear interpolation (LIDFT) method have been presented in the paper. The equations for random errors, total error, the minimum and optimal parameter value of data window for the case of one complex oscillation, and also the metrological analysis of the multifrequency signal case are presented. This analysis allows us to estimate final method accuracy and obtain the relation for the optimal data window parameter

Keywords

discrete Fourier transforms; error analysis; frequency estimation; frequency-domain analysis; interpolation; measurement errors; measurement uncertainty; parameter estimation; signal processing; spectral analysis; DFT linear interpolation method; LIDFT method; complex oscillation; estimation error components; final method accuracy estimation; frequency domain measurements; frequency estimation; interpolated FFT; linearizing data window; metrological analysis; minimum data window parameter value; multifrequency signal case; optimal data window parameter; optimal data window parameter value; parametric estimation; random errors; spectrum estimation; total error; Estimation error; Frequency domain analysis; Frequency estimation; Frequency measurement; Helium; Interpolation; Nonlinear equations; Parameter estimation; Signal analysis; Spectral analysis;

fLanguage

English

Journal_Title

Instrumentation and Measurement, IEEE Transactions on

Publisher

ieee

ISSN

0018-9456

Type

jour

DOI

10.1109/19.989903

Filename

989903