Analysis of Current Efficiency for CMOS Class-B $LC$ Oscillators

This paper focuses on the study of current efficiency in CMOS class-B LC oscillators. Exact expressions for current efficiency have been derived for the class-B oscillator. Theoretically, to achieve optimal figure-of-merit (FoM), the current efficiency in class-B oscillators is between 0.60 and 0.85, which revises the common assumption that current efficiency in all class-B oscillators is equal to 2/π. According to the theoretical analysis, the character of the tail capacitance and the boundary between current-limited regime and voltage-limited regime are discussed as well. A closed-form FoM expression is given with comparisons among different oscillators (including the traditional class-B, the AC-coupled class-B and the class-C), which show that the current efficiency of the two kinds of class-B oscillators is identical and the current efficiency of class-C oscillators is between 0.85 and 1. It is also shown that the main difference between the performances of these oscillators lies in voltage efficiency rather than current efficiency.

[1]  Pietro Andreani,et al.  A Power-Scalable DCO for Multi-Standard GSM/WCDMA Frequency Synthesizers , 2014, IEEE Journal of Solid-State Circuits.

[2]  A. Mazzanti,et al.  Class-C Harmonic CMOS VCOs, With a General Result on Phase Noise , 2008, IEEE Journal of Solid-State Circuits.

[3]  Pietro Andreani,et al.  Class-D CMOS Oscillators , 2013, IEEE Journal of Solid-State Circuits.

[4]  D. O. Pederson,et al.  Analysis of MOS transformer-coupled oscillators , 1987 .

[5]  To-Po Wang,et al.  A Low-Voltage Low-Power Wide-Tuning-Range Hybrid Class-AB/Class-B VCO With Robust Start-Up and High-Performance ${\rm FOM}_{ T}$ , 2014, IEEE Transactions on Microwave Theory and Techniques.

[6]  A. Fard,et al.  A study of phase noise in colpitts and LC-tank CMOS oscillators , 2005, IEEE Journal of Solid-State Circuits.

[7]  Pietro Andreani,et al.  A 6.7-to-9.2GHz 55nm CMOS hybrid Class-B/Class-C cellular TX VCO , 2012, 2012 IEEE International Solid-State Circuits Conference.

[8]  Charles Sodini,et al.  The impact of device type and sizing on phase noise mechanisms , 2003, IEEE Journal of Solid-State Circuits.

[9]  Qiuting Huang Exact calculation of oscillation amplitude and predicting power consumption for CMOS Colpitts oscillators , 1997, Proceedings of 1997 IEEE International Symposium on Circuits and Systems. Circuits and Systems in the Information Age ISCAS '97.

[10]  A. Abidi,et al.  Varactor characteristics, oscillator tuning curves, and AM-FM conversion , 2003, IEEE J. Solid State Circuits.

[11]  A. Hajimiri,et al.  Design issues in CMOS differential LC oscillators , 1999, IEEE J. Solid State Circuits.

[12]  P.R. Kinget,et al.  Tail Current-Shaping to Improve Phase Noise in LC Voltage-Controlled Oscillators , 2006, IEEE Journal of Solid-State Circuits.

[13]  A. Abidi,et al.  Physical processes of phase noise in differential LC oscillators , 2000, Proceedings of the IEEE 2000 Custom Integrated Circuits Conference (Cat. No.00CH37044).

[14]  Pietro Andreani,et al.  More on the Phase Noise Performance of CMOS , 2006 .

[15]  A. Abidi,et al.  The designer's guide to high-purity oscillators , 2004 .

[16]  A. Fard,et al.  More on the $1/{\rm f}^{2}$ Phase Noise Performance of CMOS Differential-Pair LC-Tank Oscillators , 2006, IEEE Journal of Solid-State Circuits.

[17]  Ali Hajimiri,et al.  A general theory of phase noise in electrical oscillators , 1998 .

[18]  Pietro Andreani,et al.  A Push–Pull Class-C CMOS VCO , 2013, IEEE Journal of Solid-State Circuits.

[19]  Antonio Liscidini,et al.  An Intuitive Analysis of Phase Noise Fundamental Limits Suitable for Benchmarking LC Oscillators , 2014, IEEE Journal of Solid-State Circuits.

[20]  Kenichi Okada,et al.  Class-C VCO With Amplitude Feedback Loop for Robust Start-Up and Enhanced Oscillation Swing , 2013, IEEE Journal of Solid-State Circuits.

[21]  D. Leeson A simple model of feedback oscillator noise spectrum , 1966 .

[22]  Massoud Tohidian,et al.  Dual-core high-swing class-C oscillator with ultra-low phase noise , 2013, 2013 IEEE Radio Frequency Integrated Circuits Symposium (RFIC).

[23]  Pietro Andreani,et al.  Highly Efficient Class-C CMOS VCOs, Including a Comparison With Class-B VCOs , 2013, IEEE Journal of Solid-State Circuits.

[24]  Robert B. Staszewski,et al.  A Class-F CMOS Oscillator , 2013, IEEE Journal of Solid-State Circuits.

[25]  Massoud Tohidian,et al.  High-swing class-C VCO , 2011, 2011 Proceedings of the ESSCIRC (ESSCIRC).

[26]  Robert B. Staszewski,et al.  An Ultra-Low Phase Noise Class-F 2 CMOS Oscillator With 191 dBc/Hz FoM and Long-Term Reliability , 2015, IEEE Journal of Solid-State Circuits.