Error propagation for the transformation of time domain into frequency domain

Author

Fornies-Marquina, J.M. ; Letosa, J. ; García-Gracia, M. ; Artacho, J.M.

Author_Institution

Dept. de Fisica Aplicada, Zaragoza Univ., Spain

Volume

33

Issue

2

fYear

1997

fDate

3/1/1997 12:00:00 AM

Firstpage

1456

Lastpage

1459

Abstract

In many electromagnetic problems such as: calculation of scattering parameters, determination of magnetic field gradients, or in the modeling of electromagnetic interference, the Fourier transform is a part of the algorithm used. The paper proposes an analytical procedure to calculate the random error in the frequency domain (FD) for values achieved from time domain (TD) data by means of the Fourier transform. This error is calculated as a function of the errors and or the measurements parameters in the TD. The formulation achieved is applied to calculate errors in harmonic signal analysis and in the reflection coefficient from the TD measurement

Keywords

Fourier transforms; electromagnetic interference; electromagnetic wave reflection; electromagnetic wave scattering; error analysis; harmonic analysis; magnetic fields; signal processing; time-domain analysis; Fourier transform; electromagnetic interference; electromagnetic problems; error propagation; frequency domain; harmonic signal analysis; magnetic field gradients; measurements parameters; random error; reflection coefficient; scattering parameters; time domain data; time domain measurement; time to frequency domain transformation; Electromagnetic fields; Electromagnetic interference; Electromagnetic modeling; Electromagnetic propagation; Electromagnetic scattering; Fourier transforms; Frequency domain analysis; Magnetic analysis; Magnetic fields; Scattering parameters;

fLanguage

English

Journal_Title

Magnetics, IEEE Transactions on

Publisher

ieee

ISSN

0018-9464

Type

jour

DOI

10.1109/20.582534

Filename

582534