Theory of oscillator instability based upon structure functions
Abstract
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.
- Publication:
-
IEEE Proceedings
- Pub Date:
- December 1976
- Bibcode:
- 1976IEEEP..64.1652L
- Keywords:
-
- 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;
- Electronics and Electrical Engineering