Carrier-to-envelope resonances, quasi periodicity and 1/f frequency noise in an injection-locked oscillator

In our recent work (see IEEE Trans. on UFFC, vol. 43, p. 326, 1996) we reported on a new multiscale processing of the time series of frequency deviations. It allowed us to demonstrate global correlations in the time sequence and to conjecture a possible determinism behind them. In this paper we extend that work in demonstrating experimentally synchronization phenomenon concerning an electronic carrier signal and its low frequency modulations. The effect is termed carrier-to-envelope resonance since it manifests itself at subharmonics pf₀/q (p and q integers, p<q) of the angular carrier frequency f₀. It is obtained from an original pulse modulating technique in which the pulse duration is slaved to the carrier and the envelope frequencies. In contrast to the conventional phase locked loop scheme, the new set-up gives rise to synchronization states concerning both the amplitude and the frequency of oscillations. This is similar to the energy quantization in quantum mechanics. Thus the carrier-to-envelope frequency ratio is quantized at integer and rational numbers depending on the excitation power