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Area Oscillations, signals and related devices / Signals; General terms

IEV ref 702-04-52

en
analytic signal
complex function whose real part is the real function f(t) representing a signal and whose imaginary part is the Hilbert transform g(t) of the function f(t):

f( t )+jg( t )=f( t ) j π + f( t ) τt dτ MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaabAgadaqadaqaaiaadshaaiaawIcacaGLPaaacqGHRaWkcaqGQbGaaeiiaiaabEgadaqadaqaaiaadshaaiaawIcacaGLPaaacqGH9aqpcaqGMbWaaeWaaeaacaWG0baacaGLOaGaayzkaaGaeyOeI0YaaSaaaeaacaqGQbaabaaccaGae8hWdahaamaapedabaWaaSaaaeaacaqGMbWaaeWaaeaacaWG0baacaGLOaGaayzkaaaabaGaeqiXdqNaeyOeI0IaamiDaaaaaSqaaiabgkHiTiabg6HiLcqaaiabgUcaRiabg6HiLcqdcqGHRiI8aOGaaeiiaiaabsgacqaHepaDaaa@580C@

Note 1 – The real part f(t) of an analytic signal is the opposite of the Hilbert transform of the imaginary part g(t).

Note 2 – If it exists, the complex Fourier transform of an analytic signal is zero for all negative frequencies so that, for instance, the analytic signal can be used to represent a single sideband modulated signal.


fr
signal analytique, m
fonction complexe dont la partie réelle est la fonction réelle du temps f(t) représentant un signal et la partie imaginaire est la transformée de Hilbert g(t) de cette fonction f(t):

f( t )+jg( t )=f( t ) j π + f( t ) τt dτ MathType@MTEF@5@5@+=feaagCart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaabAgadaqadaqaaiaadshaaiaawIcacaGLPaaacqGHRaWkcaqGQbGaaeiiaiaabEgadaqadaqaaiaadshaaiaawIcacaGLPaaacqGH9aqpcaqGMbWaaeWaaeaacaWG0baacaGLOaGaayzkaaGaeyOeI0YaaSaaaeaacaqGQbaabaaccaGae8hWdahaamaapedabaWaaSaaaeaacaqGMbWaaeWaaeaacaWG0baacaGLOaGaayzkaaaabaGaeqiXdqNaeyOeI0IaamiDaaaaaSqaaiabgkHiTiabg6HiLcqaaiabgUcaRiabg6HiLcqdcqGHRiI8aOGaaeiiaiaabsgacqaHepaDaaa@580C@

Note 1 – La partie réelle f(t) d'un signal analytique est la transformée de Hilbert changée de signe de la partie imaginaire g(t).

Note 2 – Si elle existe, la transformée de Fourier complexe d'un signal analytique est nulle pour toutes les fréquences négatives de sorte que le signal analytique peut être employé pour représenter un modulat à bande latérale unique.


ar
اشارة تحليلية

de
analytisches Signal, n

es
señal analítica

it
segnale analitico

ko
해석 신호

ja
解析的信号

pl
sygnał analityczny

pt
sinal analítico

sv
analytisk signal

Publication date: 1992-03
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