Abstract | ||
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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. |
Year | DOI | Venue |
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2009 | 10.1016/j.jcp.2008.12.032 | J. Comput. Physics |
Keywords | Field | DocType |
fourier component,scalloping error,trim-to-coherence fourier transform,conventional dft,numerical methods,fourier transform,discrete fourier,spectral information,conventional discrete fourier,phase-rotation fourier transform,spectral bin,time series data,raw data,discrete fourier transform,numerical method | Discrete-time Fourier transform,Non-uniform discrete Fourier transform,Mathematical analysis,Short-time Fourier transform,Fourier transform,Discrete Fourier transform (general),Discrete Fourier transform,Discrete sine transform,Fractional Fourier transform,Mathematics | Journal |
Volume | Issue | ISSN |
228 | 8 | Journal of Computational Physics |
Citations | PageRank | References |
0 | 0.34 | 1 |
Authors | ||
4 |
Name | Order | Citations | PageRank |
---|---|---|---|
M. Böhm | 1 | 0 | 0.34 |
M. Tasche | 2 | 2 | 0.71 |
B. Seifert | 3 | 0 | 0.34 |
F. Mitschke | 4 | 0 | 0.34 |