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- Continuous_wavelet_transform abstract "In mathematics, a continuous wavelet transform (CWT) is used to divide a continuous-time function into wavelets. Unlike Fourier transform, the continuous wavelet transform possesses the ability to construct a time-frequency representation of a signal that offers very good time and frequency localization. The continuous wavelet transform of a continuous, square-integrable function at a scale and translational value is expressed by the following integralwhere is a continuous function in both the time domain and the frequency domain called the mother wavelet and represents operation of complex conjugate. The main purpose of the mother wavelet is to provide a source function to generate the daughter wavelets which are simply the translated and scaled versions of the mother wavelet. To recover the original signal , inverse continuous wavelet transform can be exploited.is the dual function of .And the dual function should satisfySometimes, , whereis called the admissibility constant and is the Fourier transform of .For a successful inverse transform, the admissibility constant has to satisfy the admissibility condition:It is possible to show that the admissibility condition implies that , so that a wavelet must integrate to zero.".
- Continuous_wavelet_transform thumbnail Continuous_wavelet_transform.svg?width=300.
- Continuous_wavelet_transform wikiPageExternalLink TFW.htm.
- Continuous_wavelet_transform wikiPageExternalLink cwt_general.pdf.
- Continuous_wavelet_transform wikiPageExternalLink wavelets.html.
- Continuous_wavelet_transform wikiPageExternalLink ContinuousWaveletTransform.html.
- Continuous_wavelet_transform wikiPageExternalLink WTtutorial.html.
- Continuous_wavelet_transform wikiPageExternalLink timefrequency.htm.
- Continuous_wavelet_transform wikiPageID "679596".
- Continuous_wavelet_transform wikiPageRevisionID "606691841".
- Continuous_wavelet_transform hasPhotoCollection Continuous_wavelet_transform.
- Continuous_wavelet_transform subject Category:Continuous_mappings.
- Continuous_wavelet_transform subject Category:Integral_transforms.
- Continuous_wavelet_transform type Abstraction100002137.
- Continuous_wavelet_transform type ContinuousMappings.
- Continuous_wavelet_transform type Function113783816.
- Continuous_wavelet_transform type MathematicalRelation113783581.
- Continuous_wavelet_transform type Relation100031921.
- Continuous_wavelet_transform comment "In mathematics, a continuous wavelet transform (CWT) is used to divide a continuous-time function into wavelets. Unlike Fourier transform, the continuous wavelet transform possesses the ability to construct a time-frequency representation of a signal that offers very good time and frequency localization.".
- Continuous_wavelet_transform label "Continuous wavelet transform".
- Continuous_wavelet_transform label "Transformacja falkowa".
- Continuous_wavelet_transform label "Непрерывное вейвлет-преобразование".
- Continuous_wavelet_transform label "連續小波轉換".
- Continuous_wavelet_transform sameAs Transformacja_falkowa.
- Continuous_wavelet_transform sameAs m.0328_k.
- Continuous_wavelet_transform sameAs Q2622756.
- Continuous_wavelet_transform sameAs Q2622756.
- Continuous_wavelet_transform sameAs Continuous_wavelet_transform.
- Continuous_wavelet_transform wasDerivedFrom Continuous_wavelet_transform?oldid=606691841.
- Continuous_wavelet_transform depiction Continuous_wavelet_transform.svg.
- Continuous_wavelet_transform isPrimaryTopicOf Continuous_wavelet_transform.
