Title
Quadrature VCOs based on direct second harmonic locking: Theoretical analysis and experimental validation
Abstract
We propose a theoretical analysis of the class of quadrature VCOs (QVCOs) based on two LC‐oscillators directly coupled by means of the second harmonic. The analysis provides the conditions for the existence and stability of steady‐state quadrature oscillations and a simplified model for the phase noise (PN) transfer function with respect to a noise source in parallel to the tank. We show that the figure of merit defined as the product between PN and current equals that of the single VCO, confirming that quadrature generation is achieved by this class of QVCO without degrading that figure of merit. An analytical model for the phase quadrature error due to tank mismatches is also proposed. The validity of all analytical models is discussed against numerical simulations. A practical implementation at 3.26 GHz with ±20% tuning range in a 0.13µm CMOS technology is also presented, confirming the main theoretical findings. Copyright © 2009 John Wiley & Sons, Ltd. © 2010 Wiley Periodicals, Inc.
Year
DOI
Venue
2010
10.1002/cta.612
I. J. Circuit Theory and Applications
Keywords
Field
DocType
analytical model,main theoretical finding,wiley periodicals,experimental validation,quadrature generation,state quadrature oscillation,phase quadrature error,phase noise,noise source,john wiley,quadrature vcos,theoretical analysis,second harmonic
Oscillation,Control theory,Phase noise,Harmonic,Voltage-controlled oscillator,Electronic engineering,CMOS,Figure of merit,Transfer function,Quadrature (mathematics),Mathematics
Journal
Volume
Issue
ISSN
38
10
0098-9886
Citations 
PageRank 
References 
5
0.54
13
Authors
5
Name
Order
Citations
PageRank
Paola Tortori150.54
Davide Guermandi2295.89
Marco Guermandi3518.14
Eleonora Franchi4183.42
Antonio Gnudi55823.00