Title :
Does Allan variance determine the spectrum?
Author_Institution :
Jet Propulsion Lab., Pasadena, CA, USA
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 :
circuit noise; integral equations; phase noise; spectral analysis; Allan variance; first difference variation; integral formula; inversion; mapping; necessary and sufficient condition; nonstationary model; notation; octave variance; phase spectra; phase-noise spectrum; stationary FM; structure functions; terminology; Frequency modulation; Laboratories; Low-frequency noise; Oscillators; Phase modulation; Phase noise; Propulsion; Stability; Sufficient conditions; White noise;
Conference_Titel :
Frequency Control Symposium, 1997., Proceedings of the 1997 IEEE International
Conference_Location :
Orlando, FL
Print_ISBN :
0-7803-3728-X
DOI :
10.1109/FREQ.1997.638568
