Mathematics – Functional Analysis
Scientific paper
Dec 1976
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976ieeep..64.1652l&link_type=abstract
IEEE, Proceedings, vol. 64, Dec. 1976, p. 1652-1666.
Mathematics
Functional Analysis
14
Frequency Stability, Kolmogoroff Theory, Microwave Oscillators, Nonstabilized Oscillation, Phase Control, Telecommunication, Frequency Response, Functional Analysis, Periodic Functions, Power Spectra, Radio Astronomy, Random Noise, Satellite Navigation Systems, Traveling Wave Tubes
Scientific paper
Characterization of oscillator frequency and phase instability is developed via Nth-order Kolmogorov structure functions of frequency and phase. The relationship to earlier characterizations and performance criteria is pointed out. Structure functions for flicker noise, rms fractional frequency deviation, two-sample and L-sample Allan variance, transformations from tau-domain to frequency domain are discussed, and an appendix summarizes operations with structure functions of random processes with stationary Nth-order increments. The value of the approach for analyzing frequency and time instability in numerous applications (radar, radio astronomy, navigation systems, cartography, coherent/noncoherent communications, microwave spectroscopy, microwave measurements, libration studies) is pointed out.
Chie C. M.
Lindsey W. C.
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