Perturbation Analysis of Stable Oscillators

  • Amit Mehrotra
  • Alberto Sangiovanni-Vincentelli


As pointed out in Chapter 2, noise analysis in electrical circuits is based on perturbation analysis. It is well known that linear perturbation analysis is not valid for oscillatory circuits. In order to develop a noise analysis technique for oscillators we first need to develop a rigorous perturbation analysis technique. In this chapter we first show that traditional linear perturbation analysis is not valid for oscillators. This also helps us introduce the notations which we use when we describe our perturbation analysis technique. We show that this incorrect linearization leads to nonphysical results such as infinite oscillator output phase noise power in presence of white noise. We then describe our perturbation analysis technique in detail. This analysis is not limited to any specific type electrical oscillator. In fact this analysis is valid for any autonomous system of equations with oscillatory solution. We also demonstrate our technique with an example.


Periodic Solution Perturbation Analysis Fundamental Matrix Noise Analysis State Transition Matrix 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Copyright information

© Springer Science+Business Media New York 2004

Authors and Affiliations

  • Amit Mehrotra
    • 1
  • Alberto Sangiovanni-Vincentelli
    • 2
  1. 1.University of Illinois at Urbana-ChampaignUSA
  2. 2.University of CaliforniaUSA

Personalised recommendations