In this paper we propose a model of noisy oscillator to describe the effects of white noise sources on amplitude and phase noise spectrum that can be applied to linear and non-linear structures. This work proposes an extension of previous works to take into account deeper considerations about Analytical Signal and Averaging methodologies to extract a new model for oscillator dynamics. The Noisy Oscillator model has shown an excellent agreement to literature works, and results obtained with the proposed model have been compared to simulations performed with SpectreRF in Cadence 4.4.3 on a LC oscillator, in order to provide model validation.