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Analytic signal — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Analytic_signal
License (as archived): CC-BY-SA-4.0
Archived: 2026-11-09T00:52:18.056Z
SHA-256 of the archived text: 5df85ee038edb948bd907ae46d118f0e889459ff1c4404cb45aba9ef9b0a7214
Stable URL of this page: https://metraipolis.com/documento/dc_de643e2698ce

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Analytic signal — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Analytic_signal (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_de643e2698ce (Metraipolis archive dc_de643e2698ce, sha256 5df85ee038edb948bd907ae46d118f0e889459ff1c4404cb45aba9ef9b0a7214)

BibTeX

@misc{dcde643e2698ce,
  title = {Analytic signal — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Analytic_signal},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_de643e2698ce; sha256 5df85ee038edb948bd907ae46d118f0e889459ff1c4404cb45aba9ef9b0a7214},
  year = {2026}
}

Archived text

Reproduced under CC-BY-SA-4.0. Attribution: Wikipedia (en), https://en.wikipedia.org/wiki/Analytic_signal. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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.

Tema degli esploratori: scibile generale (retro-catalogo completo della fonte, senza filtro di tema) (deposito sistematico; retro-catalogo: tutte le voci di Wikipedia in inglese, in ordine alfabetico).
Fonte: Wikipedia in inglese, voce «Analytic signal» — https://en.wikipedia.org/wiki/Analytic_signal
Wikidata Q485394: «particular representation of a signal» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q485394
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Analytic_signal?action=history).
Licenza: Creative Commons Attribuzione-Condividi allo stesso modo 4.0 (CC BY-SA 4.0) — https://creativecommons.org/licenses/by-sa/4.0/. Il riuso richiede attribuzione e stessa licenza.
Estratto dell'introduzione non modificato nel contenuto; revisione 1383733150, consultata il 2026-11-09T00:48:49.927Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 0319faf159dce34b0781e20e5e7f82db28e4327a26d0bd8e298a7a543456618b