Still More on the 1/f2 Phase Noise Performance of Harmonic Oscillators
(2016) In IEEE Transactions on Circuits and Systems II: Express Briefs 63(6). p.538-542- Abstract
Modeling tank losses in a harmonic oscillator by means of an equivalent parallel resistance may lead to an optimistic estimate of phase noise, as recently experienced in a class-D CMOS oscillator. The discrepancy is significant if two conditions are fulfilled: The single-ended portion of the tank capacitance displays a non-negligible loss, and the loop gain of the oscillator is very large; in the latter case, a phase noise boost is likely to occur. In this brief, we derive phase noise equations that capture such behavior in a class-B oscillator, which is easier to approach than a class-D oscillator. The results, however, are (qualitatively) valid in general. Furthermore, the phase noise caused by the oscillator active core is always... (More)
Modeling tank losses in a harmonic oscillator by means of an equivalent parallel resistance may lead to an optimistic estimate of phase noise, as recently experienced in a class-D CMOS oscillator. The discrepancy is significant if two conditions are fulfilled: The single-ended portion of the tank capacitance displays a non-negligible loss, and the loop gain of the oscillator is very large; in the latter case, a phase noise boost is likely to occur. In this brief, we derive phase noise equations that capture such behavior in a class-B oscillator, which is easier to approach than a class-D oscillator. The results, however, are (qualitatively) valid in general. Furthermore, the phase noise caused by the oscillator active core is always proportional to the phase noise caused by the tank losses independently of the amount of phase noise boost. The agreement between theoretical and simulation results is excellent.
(Less)
- author
- Pepe, Federico LU and Andreani, Pietro LU
- organization
- publishing date
- 2016-06-01
- type
- Contribution to journal
- publication status
- published
- subject
- keywords
- Impulse sensitivity function (ISF), oscillators, phase noise
- in
- IEEE Transactions on Circuits and Systems II: Express Briefs
- volume
- 63
- issue
- 6
- article number
- 7407326
- pages
- 5 pages
- publisher
- IEEE - Institute of Electrical and Electronics Engineers Inc.
- external identifiers
-
- scopus:84973324719
- wos:000378424300006
- ISSN
- 1549-7747
- DOI
- 10.1109/TCSII.2016.2530438
- language
- English
- LU publication?
- yes
- id
- f5131d67-ca51-4da4-8b3f-ec583004ab61
- date added to LUP
- 2016-06-23 07:38:22
- date last changed
- 2024-06-14 10:04:30
@article{f5131d67-ca51-4da4-8b3f-ec583004ab61, abstract = {{<p>Modeling tank losses in a harmonic oscillator by means of an equivalent parallel resistance may lead to an optimistic estimate of phase noise, as recently experienced in a class-D CMOS oscillator. The discrepancy is significant if two conditions are fulfilled: The single-ended portion of the tank capacitance displays a non-negligible loss, and the loop gain of the oscillator is very large; in the latter case, a phase noise boost is likely to occur. In this brief, we derive phase noise equations that capture such behavior in a class-B oscillator, which is easier to approach than a class-D oscillator. The results, however, are (qualitatively) valid in general. Furthermore, the phase noise caused by the oscillator active core is always proportional to the phase noise caused by the tank losses independently of the amount of phase noise boost. The agreement between theoretical and simulation results is excellent.</p>}}, author = {{Pepe, Federico and Andreani, Pietro}}, issn = {{1549-7747}}, keywords = {{Impulse sensitivity function (ISF); oscillators; phase noise}}, language = {{eng}}, month = {{06}}, number = {{6}}, pages = {{538--542}}, publisher = {{IEEE - Institute of Electrical and Electronics Engineers Inc.}}, series = {{IEEE Transactions on Circuits and Systems II: Express Briefs}}, title = {{Still More on the 1/f<sup>2</sup> Phase Noise Performance of Harmonic Oscillators}}, url = {{http://dx.doi.org/10.1109/TCSII.2016.2530438}}, doi = {{10.1109/TCSII.2016.2530438}}, volume = {{63}}, year = {{2016}}, }