Noise Analysis of Oscillators

  • Franz X. Kärtner


The existing theories about noise in oscillators do not allow the simulation of the noise behaviour of real oscillator circuits. In this paper a numerical method for the determination of the phase fluctuations of oscillator circuits is presented. The oscillator is described by a set of nonlinear differential equations with intrinsic noise sources. The stationary solution of the system without noise sources corresponds to a limit cycle in the phase space of the system. By time discretisation with the help of Poincare maps and linearisation of the system of differential equations in the vicinity of the unperturbed limit cycle, we can derive discrete relations for the amplitude and phase fluctuations of an oscillator. From that the phase noise of an oscillator is determined.


Phase Noise Noise Source Phase Fluctuation Oscillator Circuit Floquet Exponent 
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Copyright information

© Springer-Verlag Berlin, Heidelberg 1987

Authors and Affiliations

  • Franz X. Kärtner
    • 1
  1. 1.Lehrstuhl für HochfrequenztechnikTechnische Universität MünchenMünchen 2Germany

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