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- Time–frequency_analysis abstract "In signal processing, time–frequency analysis comprises those techniques that study a signal in both the time and frequency domains simultaneously, using various time–frequency representations. Rather than viewing a 1-dimensional signal (a function, real or complex-valued, whose domain is the real line) and some transform (another function whose domain is the real line, obtained from the original via some transform), time–frequency analysis studies a two-dimensional signal – a function whose domain is the two-dimensional real plane, obtained from the signal via a time–frequency transform. The mathematical motivation for this study is that functions and their transform representation are often tightly connected, and they can be understood better by studying them jointly, as a two-dimensional object, rather than separately. A simple example is that the 4-fold periodicity of the Fourier transform – and the fact that two-fold Fourier transform reverses direction – can be interpreted by considering the Fourier transform as a 90° rotation in the associated time–frequency plane: 4 such rotations yield the identity, and 2 such rotations simply reverse direction (reflection through the origin).The practical motivation for time–frequency analysis is that classical Fourier analysis assumes that signals are infinite in time or periodic, while many signals in practice are of short duration, and change substantially over their duration. For example, traditional musical instruments do not produce infinite duration sinusoids, but instead begin with an attack, then gradually decay. This is poorly represented by traditional methods, which motivates time–frequency analysis.One of the most basic forms of time–frequency analysis is the short-time Fourier transform (STFT), but more sophisticated techniques have been developed, notably wavelets.".
- Time–frequency_analysis wikiPageID "857897".
- Time–frequency_analysis wikiPageLength "16235".
- Time–frequency_analysis wikiPageOutDegree "62".
- Time–frequency_analysis wikiPageRevisionID "675671437".
- Time–frequency_analysis wikiPageWikiLink Alfréd_Haar.
- Time–frequency_analysis wikiPageWikiLink Aliasing.
- Time–frequency_analysis wikiPageWikiLink Ambiguity_function.
- Time–frequency_analysis wikiPageWikiLink Balian–Low_theorem.
- Time–frequency_analysis wikiPageWikiLink Bilinear_time–frequency_distribution.
- Time–frequency_analysis wikiPageWikiLink Category:Time–frequency_analysis.
- Time–frequency_analysis wikiPageWikiLink Cone-shape_distribution_function.
- Time–frequency_analysis wikiPageWikiLink Dennis_Gabor.
- Time–frequency_analysis wikiPageWikiLink Distribution_(mathematics).
- Time–frequency_analysis wikiPageWikiLink Electrocardiogram.
- Time–frequency_analysis wikiPageWikiLink Electrocardiography.
- Time–frequency_analysis wikiPageWikiLink Electroencephalography.
- Time–frequency_analysis wikiPageWikiLink Electromyography.
- Time–frequency_analysis wikiPageWikiLink Fourier_analysis.
- Time–frequency_analysis wikiPageWikiLink Fourier_transform.
- Time–frequency_analysis wikiPageWikiLink Fractional_Fourier_transform.
- Time–frequency_analysis wikiPageWikiLink Fresnel_diffraction.
- Time–frequency_analysis wikiPageWikiLink Gabor_atom.
- Time–frequency_analysis wikiPageWikiLink Gabor_limit.
- Time–frequency_analysis wikiPageWikiLink Gabor_transform.
- Time–frequency_analysis wikiPageWikiLink Gabor–Wigner_transform.
- Time–frequency_analysis wikiPageWikiLink Haar_wavelet.
- Time–frequency_analysis wikiPageWikiLink Heisenberg_uncertainty_principle.
- Time–frequency_analysis wikiPageWikiLink Instantaneous_frequency.
- Time–frequency_analysis wikiPageWikiLink Instantaneous_phase.
- Time–frequency_analysis wikiPageWikiLink Light.
- Time–frequency_analysis wikiPageWikiLink Linear_canonical_transform.
- Time–frequency_analysis wikiPageWikiLink Linear_canonical_transformation.
- Time–frequency_analysis wikiPageWikiLink Locally_integrable.
- Time–frequency_analysis wikiPageWikiLink Locally_integrable_function.
- Time–frequency_analysis wikiPageWikiLink Modified_Wigner_distribution_function.
- Time–frequency_analysis wikiPageWikiLink Modulation.
- Time–frequency_analysis wikiPageWikiLink Multiplexing.
- Time–frequency_analysis wikiPageWikiLink Nyquist–Shannon_sampling_theorem.
- Time–frequency_analysis wikiPageWikiLink Otoacoustic_emission.
- Time–frequency_analysis wikiPageWikiLink Otoacoustic_emissions.
- Time–frequency_analysis wikiPageWikiLink Point_reflection.
- Time–frequency_analysis wikiPageWikiLink Quantum_mechanics.
- Time–frequency_analysis wikiPageWikiLink Reflection_through_the_origin.
- Time–frequency_analysis wikiPageWikiLink Short-time_Fourier_transform.
- Time–frequency_analysis wikiPageWikiLink Signal_processing.
- Time–frequency_analysis wikiPageWikiLink Spectral_density_estimation.
- Time–frequency_analysis wikiPageWikiLink Symplectic_geometry.
- Time–frequency_analysis wikiPageWikiLink Tempered_distributions.
- Time–frequency_analysis wikiPageWikiLink Time–frequency_analysis_for_music_signal.
- Time–frequency_analysis wikiPageWikiLink Time–frequency_analysis_for_music_signals.
- Time–frequency_analysis wikiPageWikiLink Time–frequency_representation.
- Time–frequency_analysis wikiPageWikiLink Transient_(acoustics).
- Time–frequency_analysis wikiPageWikiLink Uncertainty_principle.
- Time–frequency_analysis wikiPageWikiLink Wavelet.
- Time–frequency_analysis wikiPageWikiLink Wavelet_transform.
- Time–frequency_analysis wikiPageWikiLink Wigner_distribution_function.
- Time–frequency_analysis wikiPageWikiLink Wigner_quasiprobability_distribution.
- Time–frequency_analysis wikiPageWikiLink Wigner–Ville_distribution.
- Time–frequency_analysis wikiPageWikiLink File:Filter_fractional.jpg.
- Time–frequency_analysis wikiPageWikiLink File:Filter_tf.jpg.
- Time–frequency_analysis wikiPageWikiLink File:Mul_mod.jpg.
- Time–frequency_analysis wikiPageWikiLink File:Sampling.jpg.
- Time–frequency_analysis wikiPageWikiLinkText "Time–frequency analysis".
- Time–frequency_analysis wikiPageWikiLinkText "time–frequency analysis".
- Time–frequency_analysis wikiPageWikiLinkText "time–frequency transforms".
- Time–frequency_analysis hasPhotoCollection Time–frequency_analysis.
- Time–frequency_analysis wikiPageUsesTemplate Template:Citation_needed.
- Time–frequency_analysis wikiPageUsesTemplate Template:Clarify.
- Time–frequency_analysis wikiPageUsesTemplate Template:See_also.
- Time–frequency_analysis subject Category:Time–frequency_analysis.
- Time–frequency_analysis type Thing.
- Time–frequency_analysis comment "In signal processing, time–frequency analysis comprises those techniques that study a signal in both the time and frequency domains simultaneously, using various time–frequency representations.".
- Time–frequency_analysis label "Time–frequency analysis".
- Time–frequency_analysis seeAlso Time–frequency_representation.
- Time–frequency_analysis sameAs Análisis_tiempo-frecuencia.
- Time–frequency_analysis sameAs m.03m3msr.
- Time–frequency_analysis sameAs Q7806653.
- Time–frequency_analysis sameAs Q7806653.
- Time–frequency_analysis sameAs 時頻分析.
- Time–frequency_analysis wasDerivedFrom Time–frequency_analysis?oldid=675671437.
- Time–frequency_analysis isPrimaryTopicOf Time–frequency_analysis.