Title :
Spectral ambiguity of Allan variance
Author :
Greenhall, Charles A.
Author_Institution :
Jet Propulsion Lab., California Inst. of Technol., Pasadena, CA, USA
fDate :
6/1/1998 12:00:00 AM
Abstract :
The phase-noise spectrum determines the Allan variance by a well-known integral formula. It is shown here that unique inversion of this formula is not possible in general because the mapping from spectrum to Allan variance is not one-to-one. A necessary and sufficient condition for two distinct phase spectra to have the same Allan variance is given
Keywords :
Fourier transforms; calibration; covariance analysis; finite difference methods; frequency stability; integral equations; measurement standards; measurement theory; phase noise; random noise; spectral analysis; time-domain analysis; Allan variance; formula inversion; integral formula; phase-noise spectrum; spectral ambiguity; Analysis of variance; Clocks; Finite difference methods; Fourier transforms; Frequency; Low-frequency noise; Noise reduction; Phase noise; Spectral analysis; Sufficient conditions;
Journal_Title :
Instrumentation and Measurement, IEEE Transactions on
