Obscurities of oscillator noise

Abstract

Because of the particular nature of CO(W) and eo(w), these expressions are near P,(wo), Ptr(w0), C(WO), Q(wo), respectively. (In these expressions and those following, * denotes complex conjugate and the range of the integral is -50, m in the continuous time case and -r, r in the discrete time case.) If in addition one assumes that the processes involved are Gaussian, then one may show that /a + B\ . I Co(a)2.0(8) -2.o(a)Co(B) If ' (Pz(a)P,(B)fzu(alf,*(B) Idads, where T is the length of the time average and fi,(w) = C(w) +jQ(w).Similar formulas may be derived easily for the covariances of the quantities involved.

Oscillator Phase Noise: A 50-Year Review

“…Many frequency-domain papers of this period focused on the RF spectrum of the oscillator itself, or on linewidth, rather than the power spectrum of phase [36]- [42]. Predicted theoretical spectra were not in complete agreement with observed spectra [43].…”