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IEVref:561-03-22ID:
Language:enStatus: Standard
Term: phase noise
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Definition: 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.


Publication date:2014-11
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