Practical considerations for lc differntial oscillators design

Abstract

Practical design of LC differential oscillators faces several challenges - achievement of sufficient output power, reliable start-up of the oscillator, low power consumption and etc. This paper attempts to give analytical expressions for these quantities with the aim to facilitate the design of LC differential oscillators. The paper presents derivation of the Van der Pol differential equation for LC differential oscillators. The condition for reliable start-up is formulated using the Van der Pol equation. Analytical expression for the output amplitude based on a simple oscillator model is also derived. Comparison between the analytical and simulated results is done and it shows a very good agreement.