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Area Piezoelectric, dielectric and electrostatic devices and associated materials for frequency control, selection and detection / Piezoelectric and dielectric oscillators

IEV ref561-03-22

en
phase noise
frequency-domain measure of the short-term frequency stability of an oscillator

Note 1 to entry: This phase noise is normally expressed as the power spectral density of the phase fluctuations, S ϕ ( f ) MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaadofadaWgaaWcbaGaeqy1dygabeaakmaabmaabaGaamOzaaGaayjkaiaawMcaaaaa@3A96@ , where the phase fluctuation function is ϕ( t )=2πFt2π F 0 t MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiabew9aMnaabmaabaGaamiDaaGaayjkaiaawMcaaiabg2da9iaaikdacqaHapaCcaWGgbGaamiDaiabgkHiTiaaikdacqaHapaCcaWGgbWaaSbaaSqaaiaaicdaaeqaaOGaamiDaaaa@44F3@ . The spectral density of phase fluctuation can be directly related to the spectral density of frequency fluctuation by the following formula:

S ϕ ( f )=( F 0 f ) S y ( f ) rad 2 /Hz MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaadofadaWgaaWcbaGaeqy1dygabeaakmaabmaabaGaamOzaaGaayjkaiaawMcaaiabg2da9maabmaabaWaaSaaaeaacaWGgbWaaSbaaSqaaiaaicdaaeqaaaGcbaGaamOzaaaaaiaawIcacaGLPaaacaWGtbWaaSbaaSqaaiaadMhaaeqaaOWaaeWaaeaacaWGMbaacaGLOaGaayzkaaGaaGjbVlaabkhacaqGHbGaaeizamaaCaaaleqabaGaaeOmaaaakiaab+cacaqGibGaaeOEaaaa@4C0E@

In the preceding formulae:

F is the oscillator frequency;

F0 is the average oscillator frequency;

f is the Fourier frequency.


fr
bruit de phase, m
mesure fréquentielle de la stabilité de fréquence à court terme d’un oscillateur

Note 1 à l’article: Ce bruit de phase est généralement exprimé comme la densité spectrale de puissance des fluctuations de phase, S ϕ ( f ) MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaadofadaWgaaWcbaGaeqy1dygabeaakmaabmaabaGaamOzaaGaayjkaiaawMcaaaaa@3A96@ , la fonction de fluctuation de phase étant ϕ( t )=2πFt2π F 0 t MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiabew9aMnaabmaabaGaamiDaaGaayjkaiaawMcaaiabg2da9iaaikdacqaHapaCcaWGgbGaamiDaiabgkHiTiaaikdacqaHapaCcaWGgbWaaSbaaSqaaiaaicdaaeqaaOGaamiDaaaa@44F3@ . La densité spectrale de la fluctuation de phase peut être directement liée à celle de la fluctuation de fréquence par la formule suivante :

S ϕ ( f )=( F 0 f ) S y ( f ) rad 2 /Hz MathType@MTEF@5@5@+=feaagCart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLnhiov2DGi1BTfMBaeXatLxBI9gBaerbbjxAHXgarqqtubsr4rNCHbGeaGqipG0dh9qqWrVepG0dbbL8F4rqqrVepeea0xe9LqFf0xc9q8qqaqFn0lXdHiVcFbIOFHK8Feea0dXdar=Jb9hs0dXdHuk9fr=xfr=xfrpeWZqaaeqabiGaciGacaqadmaadaqaaqaaaOqaaiaadofadaWgaaWcbaGaeqy1dygabeaakmaabmaabaGaamOzaaGaayjkaiaawMcaaiabg2da9maabmaabaWaaSaaaeaacaWGgbWaaSbaaSqaaiaaicdaaeqaaaGcbaGaamOzaaaaaiaawIcacaGLPaaacaWGtbWaaSbaaSqaaiaadMhaaeqaaOWaaeWaaeaacaWGMbaacaGLOaGaayzkaaGaaGjbVlaabkhacaqGHbGaaeizamaaCaaaleqabaGaaeOmaaaakiaab+cacaqGibGaaeOEaaaa@4C0E@

Dans les formules précédantes:

F est la fréquence de l’oscillateur;

F0 est la fréquence moyenne de l’oscillateur;

f est la fréquence de Fourier.


ar
ضوضاء طورية

de
Phasenrauschen, n

es
ruido de fase

it
rumore di fase

ko
상 잡음

ja
位相雑音

pl
szum fazowy, m

pt
ruído de fase

zh
相位噪声

Publication date: 2014-11
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