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

Access Full Text

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

For access to this article, please select a purchase option:

Buy article PDF
£12.50
(plus tax if applicable)
Buy Knowledge Pack
10 articles for £75.00
(plus taxes if applicable)

IET members benefit from discounts to all IET publications and free access to E&T Magazine. If you are an IET member, log in to your account and the discounts will automatically be applied.

Learn more about IET membership 

Recommend Title Publication to library

You must fill out fields marked with: *

Librarian details
Name:*
Email:*
Your details
Name:*
Email:*
Department:*
Why are you recommending this title?
Select reason:
 
 
 
 
 
IET Circuits, Devices & Systems — Recommend this title to your library

Thank you

Your recommendation has been sent to your librarian.

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.

Inspec keywords: Jacobian matrices; eigenvalues and eigenfunctions; noise; oscillators

Other keywords: oscillator noise characterisation; harmonic balance-based calculation; autonomous systems; adjoint eigenvectors; frequency-domain evaluation; adjoint Floquet eigenvectors; noiseless limit cycle; Floquet eigenvalues; generalised eigenvalue; Jacobian matrices; Floquet-based noise analysis; phase-orbital correlation

Subjects: Oscillators; Linear algebra (numerical analysis)

References

    1. 1)
      • F.L. Traversa , F. Bonani . Oscillator noise: a nonlinear perturbative theory including orbital fluctuations and phase-orbital correlation. IEEE Trans. Circuits Syst. I, Regul. Pap.
    2. 2)
    3. 3)
    4. 4)
    5. 5)
      • G.H. Golub , C.F. Van Loan . (1989) Matrix computations.
    6. 6)
      • Y.A. Kuznetsov . (1995) Elements of applied bifurcation theory.
    7. 7)
    8. 8)
    9. 9)
    10. 10)
    11. 11)
      • A. Hajimiri , T.H. Lee . (1999) The design of low noise oscillators.
    12. 12)
      • Traversa, F.L., Bonani, F.: `Oscillator noise: a rigorous analysis including orbital fluctuations', Proc. Integrated Nonlinear Microwave and Millimetre-wave Circuits, Göteborg, April 2010, Sweden, p. 126–129.
    13. 13)
    14. 14)
    15. 15)
      • K.S. Kundert , J.K. White , A. Sangiovanni-Vincentelli . (1990) Steady-state methods for simulating analog and microwave circuits.
    16. 16)
    17. 17)
    18. 18)
    19. 19)
      • Traversa, F.L., Bonani, F.: `A novel numerical approach for the frequency-domain calculation of oscillator noise', Proc. 20th Int. Conf. on Noise and Fluctuations, June 2009, Pisa, Italy, p. 497–500.
http://iet.metastore.ingenta.com/content/journals/10.1049/iet-cds.2010.0138
Loading

Related content

content/journals/10.1049/iet-cds.2010.0138
pub_keyword,iet_inspecKeyword,pub_concept
6
6
Loading