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Eliminating 1/f noise in oscillators.

Eyal Kenig1, M C Cross1

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Summary
This summary is machine-generated.

We demonstrate that 1/f and narrow-bandwidth noise in precision oscillators can be eliminated by adjusting controllable parameters like feedback phase. This noise is represented by a single vector in phase space, enabling its cancellation.

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Area of Science:

  • Physics
  • Electrical Engineering
  • Signal Processing

Background:

  • Precision oscillators rely on high-quality factor resonators and feedback systems.
  • Noise, particularly 1/f and narrow-bandwidth types, degrades oscillator performance.
  • Oscillator dynamics are typically modeled using amplitude and phase variables.

Purpose of the Study:

  • To analyze the representation of low-frequency feedback noise in precision oscillators.
  • To identify methods for eliminating 1/f and narrow-bandwidth noise.
  • To present specific parameter tuning for noise cancellation.

Main Methods:

  • Modeling oscillator dynamics using amplitude and phase variables.
  • Representing low-frequency feedback noise as a single vector in phase space.
  • Identifying controllable parameters, such as feedback phase, for noise manipulation.

Main Results:

  • Low-frequency feedback noise is shown to be a single noise vector in phase space.
  • Demonstrated that 1/f and narrow-bandwidth noise can be eliminated through parameter tuning.
  • Provided specific parameter values and noise source examples for noise cancellation.

Conclusions:

  • 1/f and narrow-bandwidth noise in precision oscillators are controllable and can be eliminated.
  • Phase space analysis provides a framework for understanding and mitigating oscillator noise.
  • Tuning feedback parameters offers a practical method for enhancing oscillator precision.