Skip to main content
SpringerLink
Log in

Injection Locking

  • Chapter
  • First Online:
Quadrature RC−Oscillators

Part of the book series: Analog Circuits and Signal Processing ((ACSP))

  • 598 Accesses

Abstract

In this chapter, we have study the oscillator in driven mode, in which the oscillator is connected to an external periodic signal generator (a nonzero input). We use the van der Pol oscillator (VDPO) to study the coupling and derive the equations for the oscillation frequency, amplitude and phase. We consider both the series and parallel topologies of the VDPO, since we want to apply the results to the study of the coupled RC-oscillator (which is modeled by the series VDPO) and the two-integrator oscillator (modeled by the parallel VDPO).

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Log in via an institution
Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 109.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Hardcover Book
USD 139.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

References

  1. R. Adler, A study of locking phenomena in oscillators. Proc. Inst. Radio Eng. 34(6), 351–357 (1946)

    Google Scholar 

  2. K. Kurokawa, An Introduction to the Theory of Microwave Circuits (Academic, New York, 1969)

    Google Scholar 

  3. L. Paciorek, Injection locking of oscillators. Proc. IEEE 53(11), 1723–1727 (1965)

    Article  Google Scholar 

  4. B. Razavi, A study of injection locking and pulling in oscillators. IEEE J. Solid State Circuits 39(9), 1415–1424 (2004)

    Article  Google Scholar 

  5. A. Buonomo, A. Lo Schiavo, M. Awan, M. Asghar, M. Kennedy, A CMOS injection-locked frequency divider optimized for divide-by-two and divide-by-three operation. IEEE Trans. Circuits Syst. I 60(12), 3126–3135 (2013)

    Article  Google Scholar 

  6. D.W. Jordan, P. Smith, Nonlinear Ordinary Differential Equations: An Introduction for Scientists and Engineers, 4th edn. (Oxford University Press, New York, 2007)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Instituto Politécnico de Lisboa, ISEL-Inst Sup de Engenharia de Lisboa, Lisboa, Portugal

    João Carlos Ferreira de Almeida Casaleiro

  2. Universidade Nova de Lisboa, Caparica, Portugal

    Luís Augusto Bica Gomes Oliveira

  3. University of Alberta, Edmonton, AB, Canada

    Igor M. Filanovsky

Authors
  1. João Carlos Ferreira de Almeida Casaleiro
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Luís Augusto Bica Gomes Oliveira
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Igor M. Filanovsky
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Switzerland AG

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Casaleiro, J.C.F.d.A., Oliveira, L.A.B.G., Filanovsky, I.M. (2019). Injection Locking. In: Quadrature RC−Oscillators. Analog Circuits and Signal Processing. Springer, Cham. https://doi.org/10.1007/978-3-030-00740-9_4

Download citation

  • DOI: https://doi.org/10.1007/978-3-030-00740-9_4

  • Published:

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-030-00739-3

  • Online ISBN: 978-3-030-00740-9

  • eBook Packages: EngineeringEngineering (R0)

Publish with us

Policies and ethics

Search

Navigation