Time-varying root-locus of large-signal LC oscillators

  • Authors:

  • Svetozar S. Broussev;Nikolay T. Tchamov

  • Affiliations:

  • Radio-Frequency Communication Circuits Laboratory, Department of Communications Engineering, Tampere University of Technology, Tampere, Finland;Radio-Frequency Communication Circuits Laboratory, Department of Communications Engineering, Tampere University of Technology, Tampere, Finland

  • Venue:
  • IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems
  • Year:
  • 2010

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Abstract

Time-varying root-locus of a large-signal LC oscillator is obtained via semi-symbolic analysis, where the complex frequency s is a symbol. The steady-state circuit behavior is modeled by its time-varying small-signal admittance matrix within one oscillation period. The roots of the characteristic equation are computed with the QZ method. The time-varying root-locus analysis capabilities are demonstrated on a GHz range 130 nm complementary metal-oxide-semiconductor crosscoupled LC oscillator, and they complement the results obtained with the traditional numerical computer-aided design methods.