Theory of oscillator instability based upon structure functions
Abstract
Characterization of oscillator frequency and phase instability is developed via Nthorder 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, twosample and Lsample Allan variance, transformations from taudomain to frequency domain are discussed, and an appendix summarizes operations with structure functions of random processes with stationary Nthorder 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