Analysis of the envelope and the instantaneous phase and frequency of superregenerative oscillators

Previously published results on the operation of superregenerative receivers rely on some approximations to obtain analytic results. In this paper we investigate the linear superregenerative receiver in the sinusoidal steady state without any approximations. A frequency-domain formulation allows us to efficiently compute the relevant waveforms in the time and the frequency domains. One of the main results is the ability to efficiently predict the exact envelope and the instantaneous phase and frequency of the generated waveforms. This approach is used to analyze the receiver under various operating conditions. A comparison of the results with those obtained with prior techniques is provided.