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An equation-based method for phase noise analysis [oscillator examples]

B.N. Limketkai, R.W. Brodersen

Open publisher page 2 citations

Abstract

A method for calculating phase noise based on a particle diffusion model in the phase plane is introduced. This approach allows for the derivation of closed-form solutions, which can be used to see the explicit dependencies of phase noise on circuit component values. The theory is applied to the Van der Pol and Colpitts oscillators, and comparisons to simulations show close matching.

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What this paper is about

A method for calculating phase noise based on a particle diffusion model in the phase plane is introduced. This approach allows for the derivation of closed-form solutions, which can be used to see the explicit dependencies of phase noise on circuit component values. The theory is applied to the Van der Pol and Colpitts oscillators, and comparisons to simulations show close matching.

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Available abstract

A method for calculating phase noise based on a particle diffusion model in the phase plane is introduced. This approach allows for the derivation of closed-form solutions, which can be used to see the explicit dependencies of phase noise on circuit component values. The theory is applied to the Van der Pol and Colpitts oscillators, and comparisons to simulations show close matching.

Key concepts: Colpitts oscillator, Phase noise, Noise (video), Phase plane, Phase (matter), Component (thermodynamics), Plane (geometry), Oscillator phase noise

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