Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
Mathematical phenomenon
|
| gptkbp:describes |
Overshoot near discontinuities in Fourier series approximations
|
| gptkbp:effect |
Persistent overshoot does not vanish as more terms are added
|
| gptkbp:field |
gptkb:Mathematics
gptkb:signal_processing Fourier analysis |
| gptkbp:firstDescribed |
1899
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gibbs phenomenon
|
| gptkbp:maximumOvershoot |
Approximately 9% of jump discontinuity
|
| gptkbp:namedAfter |
gptkb:Josiah_Willard_Gibbs
|
| gptkbp:occurredIn |
gptkb:Fourier_transform
gptkb:Wavelet_transform Fourier series |
| gptkbp:reduces |
Smoothing filters
Windowing techniques |
| gptkbp:relatedTo |
gptkb:Audio_signal_processing
gptkb:Ringing_artifacts Image processing Numerical analysis Truncation of series |
| gptkbp:studiedIn |
Partial sums of Fourier series
|
| gptkbp:bfsParent |
gptkb:Josiah_Willard_Gibbs
|
| gptkbp:bfsLayer |
5
|