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- Analytic_signal abstract "In mathematics and signal processing, an analytic signal is a complex-valued function that has no negative frequency components. The real and imaginary parts of an analytic signal are real-valued functions related to each other by the Hilbert transform.The analytic representation of a real-valued function is an analytic signal, comprising the original function and its Hilbert transform. This representation facilitates many mathematical manipulations. The basic idea is that the negative frequency components of the Fourier transform (or spectrum) of a real-valued function are superfluous, due to the Hermitian symmetry of such a spectrum. These negative frequency components can be discarded with no loss of information, provided one is willing to deal with a complex-valued function instead. That makes certain attributes of the function more accessible and facilitates the derivation of modulation and demodulation techniques, such as single-sideband. As long as the manipulated function has no negative frequency components (that is, it is still analytic), the conversion from complex back to real is just a matter of discarding the imaginary part. The analytic representation is a generalization of the phasor concept: while the phasor is restricted to time-invariant amplitude, phase, and frequency, the analytic signal allows for time-variable parameters.".
- Analytic_signal thumbnail Analytisches-signal-uebertragungsfunktion-en.svg?width=300.
- Analytic_signal wikiPageExternalLink Analytic_Signals_Hilbert_Transform.html.
- Analytic_signal wikiPageID "950777".
- Analytic_signal wikiPageLength "15570".
- Analytic_signal wikiPageOutDegree "51".
- Analytic_signal wikiPageRevisionID "669412076".
- Analytic_signal wikiPageWikiLink Aliasing.
- Analytic_signal wikiPageWikiLink Amplitude.
- Analytic_signal wikiPageWikiLink Amplitude_modulation.
- Analytic_signal wikiPageWikiLink Baseband.
- Analytic_signal wikiPageWikiLink Category:Fourier_analysis.
- Analytic_signal wikiPageWikiLink Category:Signal_processing.
- Analytic_signal wikiPageWikiLink Category:Time–frequency_analysis.
- Analytic_signal wikiPageWikiLink Causal_filter.
- Analytic_signal wikiPageWikiLink Complex_conjugate.
- Analytic_signal wikiPageWikiLink Convolution.
- Analytic_signal wikiPageWikiLink Envelope_(waves).
- Analytic_signal wikiPageWikiLink Eulers_formula.
- Analytic_signal wikiPageWikiLink Fourier_transform.
- Analytic_signal wikiPageWikiLink Heaviside_step_function.
- Analytic_signal wikiPageWikiLink Hermitian_function.
- Analytic_signal wikiPageWikiLink Hertz.
- Analytic_signal wikiPageWikiLink Hilbert_transform.
- Analytic_signal wikiPageWikiLink Imaginary_unit.
- Analytic_signal wikiPageWikiLink Instantaneous_phase.
- Analytic_signal wikiPageWikiLink Interpolation.
- Analytic_signal wikiPageWikiLink Low-pass_filter.
- Analytic_signal wikiPageWikiLink Mathematics.
- Analytic_signal wikiPageWikiLink Modulation.
- Analytic_signal wikiPageWikiLink Monogenic_signal.
- Analytic_signal wikiPageWikiLink Negative_frequency.
- Analytic_signal wikiPageWikiLink Passband.
- Analytic_signal wikiPageWikiLink Phasor.
- Analytic_signal wikiPageWikiLink Polar_coordinate_system.
- Analytic_signal wikiPageWikiLink Quadrature_filter.
- Analytic_signal wikiPageWikiLink Real_number.
- Analytic_signal wikiPageWikiLink Sampling_(signal_processing).
- Analytic_signal wikiPageWikiLink Sign_function.
- Analytic_signal wikiPageWikiLink Signal_processing.
- Analytic_signal wikiPageWikiLink Single-sideband_modulation.
- Analytic_signal wikiPageWikiLink Spectrum.
- Analytic_signal wikiPageWikiLink Unit_vector.
- Analytic_signal wikiPageWikiLink Upsampling.
- Analytic_signal wikiPageWikiLink Wigner_quasiprobability_distribution.
- Analytic_signal wikiPageWikiLink File:Analytic.svg.
- Analytic_signal wikiPageWikiLink File:Analytisches-signal-uebertragungsfunktion-en.svg.
- Analytic_signal wikiPageWikiLinkText "Analytic signal".
- Analytic_signal wikiPageWikiLinkText "Analytic signal#Complex envelope".
- Analytic_signal wikiPageWikiLinkText "Analytic signal#The monogenic signal".
- Analytic_signal wikiPageWikiLinkText "analytic representation".
- Analytic_signal wikiPageWikiLinkText "analytic signal".
- Analytic_signal wikiPageWikiLinkText "analytic".
- Analytic_signal wikiPageUsesTemplate Template:Distinguish.
- Analytic_signal wikiPageUsesTemplate Template:Efn.
- Analytic_signal wikiPageUsesTemplate Template:Further_cleanup.
- Analytic_signal wikiPageUsesTemplate Template:Nobreak.
- Analytic_signal wikiPageUsesTemplate Template:Notelist.
- Analytic_signal wikiPageUsesTemplate Template:Reflist.
- Analytic_signal subject Category:Fourier_analysis.
- Analytic_signal subject Category:Signal_processing.
- Analytic_signal subject Category:Time–frequency_analysis.
- Analytic_signal hypernym Function.
- Analytic_signal type Disease.
- Analytic_signal type Field.
- Analytic_signal type Redirect.
- Analytic_signal type Thing.
- Analytic_signal comment "In mathematics and signal processing, an analytic signal is a complex-valued function that has no negative frequency components. The real and imaginary parts of an analytic signal are real-valued functions related to each other by the Hilbert transform.The analytic representation of a real-valued function is an analytic signal, comprising the original function and its Hilbert transform. This representation facilitates many mathematical manipulations.".
- Analytic_signal label "Analytic signal".
- Analytic_signal differentFrom Analytic_function.
- Analytic_signal differentFrom Closed-form_expression.
- Analytic_signal sameAs Q485394.
- Analytic_signal sameAs Analytisches_Signal.
- Analytic_signal sameAs Señal_analítica.
- Analytic_signal sameAs Segnale_analitico.
- Analytic_signal sameAs Sygnał_analityczny.
- Analytic_signal sameAs m.03sqvy.
- Analytic_signal sameAs Аналитический_сигнал.
- Analytic_signal sameAs Q485394.
- Analytic_signal wasDerivedFrom Analytic_signal?oldid=669412076.
- Analytic_signal depiction Analytisches-signal-uebertragungsfunktion-en.svg.
- Analytic_signal isPrimaryTopicOf Analytic_signal.