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Ambiguity function — Wikipedia (en)

Source: Wikipedia (en)
Original: https://en.wikipedia.org/wiki/Ambiguity_function
License (as archived): CC-BY-SA-4.0
Archived: 2026-11-08T20:03:46.621Z
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Ambiguity function — Wikipedia (en) — Wikipedia (en), https://en.wikipedia.org/wiki/Ambiguity_function (CC-BY-SA-4.0); archived copy: https://metraipolis.com/documento/dc_59e29ff960d2 (Metraipolis archive dc_59e29ff960d2, sha256 0e3fa951cbf64e35f46e43aec2cb01e9cf5c9d96bfb5527c1b80da6417f6697a)

BibTeX

@misc{dc59e29ff960d2,
  title = {Ambiguity function — Wikipedia (en)},
  howpublished = {Wikipedia (en)},
  url = {https://en.wikipedia.org/wiki/Ambiguity_function},
  note = {License CC-BY-SA-4.0; archived copy https://metraipolis.com/documento/dc_59e29ff960d2; sha256 0e3fa951cbf64e35f46e43aec2cb01e9cf5c9d96bfb5527c1b80da6417f6697a},
  year = {2026}
}

Archived text

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

In pulsed radar and sonar signal processing, an ambiguity function is a two-dimensional function of propagation delay τ and Doppler frequency f, χ(τ,f). It represents the distortion of a returned pulse due to the receiver matched filter (commonly, but not exclusively, used in pulse compression radar) of the return from a moving target. The ambiguity function is defined by the properties of the pulse and of the filter, and not any particular target scenario. Many definitions of the ambiguity function exist; some are restricted to narrowband signals and others are suitable to describe the delay and Doppler relationship of wideband signals. Often the definition of the ambiguity function is given as the magnitude squared of other definitions (Weiss). For a given complex baseband pulse s(t), the narrowband ambiguity function is given by χ(τ,f)=∫−∞∞s(t)s∗(t−τ)ei2πftdt where ∗ denotes the complex conjugate and i is the imaginary unit. Note that for zero Doppler shift (f=0), this reduces to the autocorrelation of s(t). A more concise way of representing the ambiguity function consists of examining the one-dimensional zero-delay and zero-Doppler "cuts"; that is, χ(0,f) and χ(τ,0), respectively. The matched filter output as a function of time (the signal one would observe in a radar system) is a Doppler cut, with the constant frequency given by the target's Doppler shift: χ(τ,fD).

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Fonte: Wikipedia in inglese, voce «Ambiguity function» — https://en.wikipedia.org/wiki/Ambiguity_function
Wikidata Q3206297: «function of propagation delay and Doppler frequency, representing the distortion of a returned pulse due to the receiver matched filter of the return from a moving target» (dati Wikidata in CC0 1.0) — https://www.wikidata.org/wiki/Q3206297
Autori: i contributori di Wikipedia (cronologia: https://en.wikipedia.org/wiki/Ambiguity_function?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 1364578235, consultata il 2026-11-08T19:59:48.030Z tramite l'API ufficiale di Wikipedia. Impronta SHA-256 dell'estratto: 308290a42812051ec97600950a6c0ddf2a83460ca6df90b40496c4674a19c7fa