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A general theory of phase noise in transconductor-based harmonic oscillators

Pepe, Federico LU and Andreani, Pietro LU (2017) In IEEE Transactions on Circuits and Systems I: Regular Papers 64(2). p.432-445
Abstract

We present a rigorous phase noise analysis of a generic harmonic oscillator where the active core can be modeled as a transconductor. Phase noise equations are derived without any specific assumption on the nature of the resonator in the oscillator; furthermore, we provide closed-form 1/f2 phase noise equations when the resonator consists of an arbitrary number of cascaded LC tanks, each tuned at a different harmonic of the oscillation frequency. We also show that the phase noise caused by transconductor white noise is always proportional to the phase noise caused by resonator losses, and that no flicker noise from the transconductor is up-converted into phase noise in an oscillator with an odd-symmetric voltage waveform. The... (More)

We present a rigorous phase noise analysis of a generic harmonic oscillator where the active core can be modeled as a transconductor. Phase noise equations are derived without any specific assumption on the nature of the resonator in the oscillator; furthermore, we provide closed-form 1/f2 phase noise equations when the resonator consists of an arbitrary number of cascaded LC tanks, each tuned at a different harmonic of the oscillation frequency. We also show that the phase noise caused by transconductor white noise is always proportional to the phase noise caused by resonator losses, and that no flicker noise from the transconductor is up-converted into phase noise in an oscillator with an odd-symmetric voltage waveform. The phase noise for a number of different oscillators/resonators has been simulated, always obtaining an exceedingly good agreement between theoretical predictions and numerical results.

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author
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
Harmonic oscillators, impulse sensitivity function, phase noise
in
IEEE Transactions on Circuits and Systems I: Regular Papers
volume
64
issue
2
pages
14 pages
publisher
IEEE--Institute of Electrical and Electronics Engineers Inc.
external identifiers
  • scopus:84994381625
  • wos:000395487900016
ISSN
1549-8328
DOI
10.1109/TCSI.2016.2604008
language
English
LU publication?
yes
id
7dc46872-a760-4026-8bc9-a523ad4dfd1e
date added to LUP
2017-02-20 09:59:51
date last changed
2018-05-29 11:07:45
@article{7dc46872-a760-4026-8bc9-a523ad4dfd1e,
  abstract     = {<p>We present a rigorous phase noise analysis of a generic harmonic oscillator where the active core can be modeled as a transconductor. Phase noise equations are derived without any specific assumption on the nature of the resonator in the oscillator; furthermore, we provide closed-form 1/f<sup>2</sup> phase noise equations when the resonator consists of an arbitrary number of cascaded LC tanks, each tuned at a different harmonic of the oscillation frequency. We also show that the phase noise caused by transconductor white noise is always proportional to the phase noise caused by resonator losses, and that no flicker noise from the transconductor is up-converted into phase noise in an oscillator with an odd-symmetric voltage waveform. The phase noise for a number of different oscillators/resonators has been simulated, always obtaining an exceedingly good agreement between theoretical predictions and numerical results.</p>},
  articleno    = {7723864},
  author       = {Pepe, Federico and Andreani, Pietro},
  issn         = {1549-8328},
  keyword      = {Harmonic oscillators,impulse sensitivity function,phase noise},
  language     = {eng},
  month        = {02},
  number       = {2},
  pages        = {432--445},
  publisher    = {IEEE--Institute of Electrical and Electronics Engineers Inc.},
  series       = {IEEE Transactions on Circuits and Systems I: Regular Papers},
  title        = {A general theory of phase noise in transconductor-based harmonic oscillators},
  url          = {http://dx.doi.org/10.1109/TCSI.2016.2604008},
  volume       = {64},
  year         = {2017},
}