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- Transformation_between_distributions_in_time–frequency_analysis abstract "In the field of time–frequency analysis, several signal formulations are used to represent the signal in a joint time–frequency domain.There are several methods and transforms called "time-frequency distributions" (TFDs), whose interconnections were organized by Leon Cohen.The most useful and popular methods form a class referred to as "quadratic" or bilinear time–frequency distributions. A core member of this class is the Wigner–Ville distribution (WVD), as all other TFDs can be written as a smoothed or convolved versions of the WVD. Another popular member of this class is the spectrogram which is the square of the magnitude of the short-time Fourier transform (STFT). The spectrogram has the advantage of being positive and is easy to interpret, but also has disadvantages, like being irreversible, which means that once the spectrogram of a signal is computed, the original signal can't be extracted from the spectrogram. The theory and methodology for defining a TFD that verifies certain desirable properties is given in the "Theory of Quadratic TFDs".The scope of this article is to illustrate some elements of the procedure to transform one distribution into another. The method used to transform a distribution is borrowed from the phase space formulation of quantum mechanics, even though the subject matter of this article is "signal processing". Noting that a signal can recovered from a particular distribution under certain conditions, given a certain TFD ρ1(t,f) representing the signal in a joint time–frequency domain, another, different, TFD ρ2(t,f) of the same signal can be obtained to calculate any other distribution, by simple smoothing or filtering; some of these relationships are shown below. A full treatment of the question can be given in Cohen's book.".
- Transformation_between_distributions_in_time–frequency_analysis wikiPageID "25848944".
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- Transformation_between_distributions_in_time–frequency_analysis wikiPageRevisionID "679303114".
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLink Bilinear_time–frequency_distribution.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLink Category:Time–frequency_analysis.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLink Fourier_transform.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLink Phase_space_formulation.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLink Quantum_mechanics.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLink Short-time_Fourier_transform.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLink Spectrogram.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLink Time–frequency_analysis.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLink Wigner_distribution_function.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLink Wigner_quasiprobability_distribution.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLink Wigner–Ville_distribution.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLinkText "Transformation between distributions in time–frequency analysis".
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLinkText "proper".
- Transformation_between_distributions_in_time–frequency_analysis wikiPageWikiLinkText "transformation between distributions in time–frequency analysis".
- Transformation_between_distributions_in_time–frequency_analysis hasPhotoCollection Transformation_between_distributions_in_time–frequency_analysis.
- Transformation_between_distributions_in_time–frequency_analysis wikiPageUsesTemplate Template:Reflist.
- Transformation_between_distributions_in_time–frequency_analysis subject Category:Time–frequency_analysis.
- Transformation_between_distributions_in_time–frequency_analysis comment "In the field of time–frequency analysis, several signal formulations are used to represent the signal in a joint time–frequency domain.There are several methods and transforms called "time-frequency distributions" (TFDs), whose interconnections were organized by Leon Cohen.The most useful and popular methods form a class referred to as "quadratic" or bilinear time–frequency distributions.".
- Transformation_between_distributions_in_time–frequency_analysis label "Transformation between distributions in time–frequency analysis".
- Transformation_between_distributions_in_time–frequency_analysis sameAs m.09v76vb.
- Transformation_between_distributions_in_time–frequency_analysis sameAs Q7834083.
- Transformation_between_distributions_in_time–frequency_analysis sameAs Q7834083.
- Transformation_between_distributions_in_time–frequency_analysis sameAs 時頻分析轉換關係.
- Transformation_between_distributions_in_time–frequency_analysis wasDerivedFrom Transformation_between_distributions_in_time–frequency_analysis?oldid=679303114.
- Transformation_between_distributions_in_time–frequency_analysis isPrimaryTopicOf Transformation_between_distributions_in_time–frequency_analysis.