Frequency-domain evaluation of the adjoint Floquet eigenvectors for oscillator noise characterisation

F. L. Traversa, F. Bonani

Research output: Contribution to journalArticleResearchpeer-review

18 Citations (Scopus)


The calculation of orbital fluctuations and of the phase-orbital correlation within Floquet-based noise analysis of autonomous systems requires the availability of all the direct and adjoint Floquet eigenvectors associated with the noiseless limit cycle. Here the authors introduce a novel numerical technique for their frequency domain determination. The algorithm is entirely based on the Jacobian matrices already available from the harmonic balance-based calculation of the limit cycle, thus avoiding any time-domain integration. The Floquet eigenvalues and adjoint eigenvectors are calculated from a generalised eigenvalue problem, thus making the approach readily implementable into CAD tools provided that the Jacobian matrices are made available. © 2011 The Institution of Engineering and Technology.
Original languageEnglish
Pages (from-to)46-51
JournalIET Circuits, Devices and Systems
Issue number1
Publication statusPublished - 1 Jan 2011


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