Definition of phase spectral density of a crystal resonator through its equivalent parameter 1/f noises

This paper addresses to the crystal resonator phase and amplitude spectral density definition through its parameter 1/f flicker noises. The approach is based on the Leeson´s oscillator open loop model allowing detailed consideration of the both Butler and Colpitts modes of operation with assumption of a resonator inter noise correlation. Examples are given as an illustration of a good agreement of the data with theoretical curves