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- Gabor_transform abstract "The Gabor transform, named after Dennis Gabor, is a special case of the short-time Fourier transform. It is used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time. The function to be transformed is first multiplied by a Gaussian function, which can be regarded as a window function, and the resulting function is then transformed with a Fourier transform to derive the time-frequency analysis. The window function means that the signal near the time being analyzed will have higher weight. The Gabor transform of a signal x(t) is defined by this formula:The Gaussian function has infinite range and it is impractical for implementation. However, a level of significance can be chosen (for instance 0.00001) for the distribution of the Gaussian function. Outside these limits of integration , the Gaussian function is small enough to be ignored. Thus the Gabor transform can be satisfactorily approximated asThis simplification makes the Gabor transform practical and realizable.The window function width can also be varied to optimize the time-frequency resolution tradeoff for a particular application by replacing the with for some chosen alpha.".
- Gabor_transform thumbnail Gaussian_by_stevencys.jpg?width=300.
- Gabor_transform wikiPageID "4877992".
- Gabor_transform wikiPageRevisionID "593045709".
- Gabor_transform hasPhotoCollection Gabor_transform.
- Gabor_transform subject Category:Integral_transforms.
- Gabor_transform comment "The Gabor transform, named after Dennis Gabor, is a special case of the short-time Fourier transform. It is used to determine the sinusoidal frequency and phase content of local sections of a signal as it changes over time. The function to be transformed is first multiplied by a Gaussian function, which can be regarded as a window function, and the resulting function is then transformed with a Fourier transform to derive the time-frequency analysis.".
- Gabor_transform label "Gabor transform".
- Gabor_transform label "Gabor-Transformation".
- Gabor_transform label "Gabortransformatie".
- Gabor_transform label "加伯轉換".
- Gabor_transform sameAs Gabor-Transformation.
- Gabor_transform sameAs Gabortransformatie.
- Gabor_transform sameAs m.03hfw0q.
- Gabor_transform sameAs Q996397.
- Gabor_transform sameAs Q996397.
- Gabor_transform wasDerivedFrom Gabor_transform?oldid=593045709.
- Gabor_transform depiction Gaussian_by_stevencys.jpg.
- Gabor_transform isPrimaryTopicOf Gabor_transform.
