Trim-to-Coherence Fourier Transform

We introduce a discrete Fourier transform technique which extracts more spectral information from a given time series data set than conventional discrete Fourier transform (DFT). Valid information is obtained between the spectral bins of conventional DFT, scalloping error is greatly reduced, and amp...

Full description

Saved in:
Bibliographic Details
Published inJournal of computational physics Vol. 228; no. 8; pp. 2906 - 2917
Main Authors Böhm, M., Tasche, M., Seifert, B., Mitschke, F.
Format Journal Article
LanguageEnglish
Published Kidlington Elsevier Inc 01.05.2009
Elsevier
Subjects
Amplitudes
Bins
Computational techniques
Error analysis
Exact sciences and technology
Fourier analysis
Fourier transform
Fourier transforms
Mathematical methods in physics
Numerical methods
Physics
Scalloping
Scalloping error
Spectra
Time series
Fourier transform
Numerical methods
Scalloping error
Fourier transformation
Discrete Fourier transforms
Time series
Numerical method
Calculation
Calculation methods
Online AccessGet full text

Cover

More Information
Summary:We introduce a discrete Fourier transform technique which extracts more spectral information from a given time series data set than conventional discrete Fourier transform (DFT). Valid information is obtained between the spectral bins of conventional DFT, scalloping error is greatly reduced, and amplitude and phase of Fourier components are more true to the process under study as with conventional DFT. We call the general idea Trim-to-Coherence Fourier Transform, and its particular embodiment ‘Phase-Rotation Fourier Transform’. Treatment of the raw data is minimally invasive; e.g. there is no zero padding.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0021-9991
1090-2716
DOI:10.1016/j.jcp.2008.12.032