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- Volterra_series abstract "The Volterra series is a model for non-linear behavior similar to the Taylor series. It differs from the Taylor series in its ability to capture 'memory' effects. The Taylor series can be used for approximating the response of a nonlinear system to a given input if the output of this system depends strictly on the input at that particular time. In the Volterra series the output of the nonlinear system depends on the input to the system at all other times. This provides the ability to capture the 'memory' effect of devices like capacitors and inductors.It has been applied in the fields of medicine (biomedical engineering) and biology, especially neuroscience. It is also used in electrical engineering to model intermodulation distortion in many devices including power amplifiers and frequency mixers. Its main advantage lies in its generality: it can represent a wide range of systems. Thus it is sometimes considered a non-parametric model. In mathematics, a Volterra series denotes a functional expansion of a dynamic, nonlinear, time-invariant functional. Volterra series are frequently used in system identification. The Volterra series, which is used to prove the Volterra theorem, is an infinite sum of multidimensional convolutional integrals.".
- Volterra_series wikiPageExternalLink 7704263.pdf.
- Volterra_series wikiPageExternalLink volterra_book.pdf.
- Volterra_series wikiPageID "5811728".
- Volterra_series wikiPageLength "19022".
- Volterra_series wikiPageOutDegree "28".
- Volterra_series wikiPageRevisionID "705946197".
- Volterra_series wikiPageWikiLink Arzelà–Ascoli_theorem.
- Volterra_series wikiPageWikiLink Brownian_motion.
- Volterra_series wikiPageWikiLink Category:Functional_analysis.
- Volterra_series wikiPageWikiLink Category:Mathematical_series.
- Volterra_series wikiPageWikiLink Compact_space.
- Volterra_series wikiPageWikiLink Dirac_delta_function.
- Volterra_series wikiPageWikiLink Equicontinuity.
- Volterra_series wikiPageWikiLink Frequency_mixer.
- Volterra_series wikiPageWikiLink Functional_(mathematics).
- Volterra_series wikiPageWikiLink Georgios_B._Giannakis.
- Volterra_series wikiPageWikiLink Homogeneous_function.
- Volterra_series wikiPageWikiLink Integral_transform.
- Volterra_series wikiPageWikiLink Intermodulation.
- Volterra_series wikiPageWikiLink Massachusetts_Institute_of_Technology.
- Volterra_series wikiPageWikiLink Mathematics.
- Volterra_series wikiPageWikiLink Maurice_René_Fréchet.
- Volterra_series wikiPageWikiLink Nonlinear_system.
- Volterra_series wikiPageWikiLink Nonparametric_statistics.
- Volterra_series wikiPageWikiLink Norbert_Wiener.
- Volterra_series wikiPageWikiLink Paul_Lévy_(mathematician).
- Volterra_series wikiPageWikiLink Statistical_learning_theory.
- Volterra_series wikiPageWikiLink System_identification.
- Volterra_series wikiPageWikiLink Taylor_series.
- Volterra_series wikiPageWikiLink Uniform_boundedness.
- Volterra_series wikiPageWikiLink Vito_Volterra.
- Volterra_series wikiPageWikiLink Wiener_series.
- Volterra_series wikiPageWikiLinkText "Volterra expansion".
- Volterra_series wikiPageWikiLinkText "Volterra kernel".
- Volterra_series wikiPageWikiLinkText "Volterra series".
- Volterra_series wikiPageWikiLinkText "Volterra".
- Volterra_series wikiPageWikiLinkText "theory".
- Volterra_series wikiPageUsesTemplate Template:Reflist.
- Volterra_series subject Category:Functional_analysis.
- Volterra_series subject Category:Mathematical_series.
- Volterra_series hypernym Model.
- Volterra_series type Person.
- Volterra_series type Function.
- Volterra_series type Redirect.
- Volterra_series comment "The Volterra series is a model for non-linear behavior similar to the Taylor series. It differs from the Taylor series in its ability to capture 'memory' effects. The Taylor series can be used for approximating the response of a nonlinear system to a given input if the output of this system depends strictly on the input at that particular time. In the Volterra series the output of the nonlinear system depends on the input to the system at all other times.".
- Volterra_series label "Volterra series".
- Volterra_series sameAs Q3957891.
- Volterra_series sameAs Serie_di_Volterra.
- Volterra_series sameAs m.0f6hqs.
- Volterra_series sameAs Q3957891.
- Volterra_series wasDerivedFrom Volterra_series?oldid=705946197.
- Volterra_series isPrimaryTopicOf Volterra_series.