How Low Can They Go?: Oscillator Phase Noise Model, Theoretical, Experimental Validation, and Phase Noise Measurements

Noise is associated with all the components of the oscillator circuit; however, the major contribution of the noise in an oscillator is from the active device, which introduces amplitude modulation (AM) and phase modulation (PM) noise. The conventional wisdom is to ignore AM component of the noise because the gain limiting effects of the active device operating under saturation, allowing only little variation in the output amplitude due to the noise in comparison to PM noise component, which directly affects the frequency stability of the oscillator and creates noise sidebands. But in reality, many oscillator topologies create significant AM noise, therefore effective noise contribution is the combination of 1/f spectrum with the 1/f 2 effect in all PM, makes the low-frequency noise much greater, and that's where the information in most modulated signals resides.

[1]  Ajay K. Poddar,et al.  Voltage controlled crystal oscillator , 2009, 2009 IEEE Sarnoff Symposium.

[2]  A. Hajimiri,et al.  The Design of Low Noise Oscillators , 1999 .

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

[4]  G. Coram A simple 2-D oscillator to determine the correct decomposition of perturbations into amplitude and phase noise , 2001 .

[5]  Robert W. Dutton,et al.  Lumped, inductorless oscillators: how far can they go? [phase noise reduction limit] , 2003, Proceedings of the IEEE 2003 Custom Integrated Circuits Conference, 2003..

[6]  Warren F. Walls Practical Problems Involving Phase Noise Measurements , 2001 .

[7]  Georg Böck,et al.  The Design of Modern Microwave Oscillators for Wireless Applications : Theory and Optimization , 2005 .

[8]  Lei Zhu,et al.  Guided-wave characteristics of periodically nonuniform coupled microstrip lines-even and odd modes , 2005, IEEE Transactions on Microwave Theory and Techniques.

[9]  Keng L. Wong,et al.  A PLL clock generator with 5 to 110 MHz of lock range for microprocessors , 1992 .

[10]  E. Ngoya,et al.  Rigorous RF and microwave oscillator phase noise calculation by envelope transient technique , 2000, 2000 IEEE MTT-S International Microwave Symposium Digest (Cat. No.00CH37017).

[11]  Bosco Leung,et al.  PLL-based frequency discriminator using the loop filter as an estimator , 2002 .

[12]  C. M. Felton,et al.  Extending the range and accuracy of phase noise measurements , 1988, Proceedings of the 42nd Annual Frequency Control Symposium, 1988..

[13]  Zhinian Shu,et al.  A 2.4-GHz ring-oscillator-based CMOS frequency synthesizer with a fractional divider dual-PLL architecture , 2004, IEEE Journal of Solid-State Circuits.

[14]  T.H. Lee,et al.  Oscillator phase noise: a tutorial , 1999, IEEE Journal of Solid-State Circuits.

[15]  Franco Mastri,et al.  General noise analysis of nonlinear microwave circuits by the piecewise harmonic-balance technique , 1994 .

[16]  Bosco Leung,et al.  Comparison of phase noise models on a class of ring oscillators using low voltage swing fully differential delay cells , 2009 .

[17]  M. Horowitz,et al.  Precise delay generation using coupled oscillators , 1993, 1993 IEEE International Solid-State Circuits Conference Digest of Technical Papers.

[18]  Nelson Lam,et al.  Dynamic Quadrant Swapping Scheme Implemented in a Post Conversion Block for I, Q Mismatch Reduction in a DQPSK Receiver , 2010, IEEE Journal of Solid-State Circuits.

[19]  Bosco H. Leung,et al.  Investigation of phase noise of ring oscillators with time-varying current and noise sources by time-scaling thermal noise , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[20]  Michael J. Lancaster,et al.  Aperture-coupled microstrip open-loop resonators and their applications to the design of novel microstrip bandpass filters , 1999 .

[21]  Yao-Huang Kao,et al.  A Low Phase-Noise Voltage-Controlled SAW Oscillator With Surface Transverse Wave Resonator for SONET Application , 2005, IEEE Transactions on Microwave Theory and Techniques.

[22]  F. Ramirez,et al.  Analysis of Near-Carrier Phase-Noise Spectrum in Free-Running Oscillators in the Presence of White and Colored Noise Sources , 2010, IEEE Transactions on Microwave Theory and Techniques.

[23]  Morteza Nick,et al.  New Q-Enhanced Planar Resonators for Low Phase-Noise Radio Frequency Oscillators , 2011 .

[24]  W. Marsden I and J , 2012 .

[25]  Franz X. Kärtner,et al.  Analysis of white and f-α noise in oscillators , 1990, Int. J. Circuit Theory Appl..

[26]  Ajay Kumar Poddar A Novel Approach for Designing Integrated Ultra Low Noise Microwave Wideband Voltage-Controlled Oscillators , 2005 .

[27]  Ajay K. Poddar,et al.  Configurable Ultra Low Noise Ultra Wideband Power Efficient VCOs , 2005 .

[28]  Giorgio Ferrari,et al.  Spectrum analyzer with noise reduction by cross-correlation technique on two channels , 1999 .

[29]  R. G. Medhurst,et al.  Topics in the Theory of Random Noise , 1969 .

[30]  S. Ver Hoeye,et al.  Techniques for oscillator nonlinear optimization and phase-noise analysis using commercial harmonic-balance software , 2000, 2000 IEEE MTT-S International Microwave Symposium Digest (Cat. No.00CH37017).

[31]  K. O.,et al.  Switched resonators and their applications in a dual-band monolithic CMOS LC-tuned VCO , 2006, IEEE Transactions on Microwave Theory and Techniques.

[32]  M. Tiebout,et al.  Phase noise in a differential CMOS voltage-controlled oscillator for RF applications , 2000 .

[33]  N. Nomura,et al.  Small packaged VCSO for 10[Gbit] Ethernet application , 2004, Proceedings of the 2004 IEEE International Frequency Control Symposium and Exposition, 2004..

[34]  Y. Tsividis Operation and modeling of the MOS transistor , 1987 .

[35]  Xudong Cao,et al.  Phase noise in coupled oscillators: theory and experiment , 1997 .

[36]  Enrico Mach,et al.  FOR LOW POWER , 1997 .

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

[38]  Ulrich L. Rohde A New and Efficient Method of Designing Low Noise Microwave Oscillators , 2004 .

[39]  U. L. Rohde,et al.  Techniques minimize the phase noise in crystal oscillator circuits , 2012, 2012 IEEE International Frequency Control Symposium Proceedings.

[40]  A. Hajimiri,et al.  Jitter and phase noise in ring oscillators , 1999, IEEE J. Solid State Circuits.

[41]  U. L. Rohde,et al.  Latest Technology, Technological Challenges, and Market Trends for Frequency Generating and Timing Devices [Application Notes] , 2012, IEEE Microwave Magazine.

[42]  Jiasheng Hong,et al.  Couplings of microstrip square open-loop resonators for cross-coupled planar microwave filters , 1996 .

[43]  Chris J. M. Verhoeven,et al.  A new low-noise 100-MHz balanced relaxation oscillator , 1990 .

[44]  Asad A. Abidi,et al.  How Phase Noise Appears in Oscillators , 1997 .

[45]  To-Po Wang,et al.  Phase-Noise Reduction of $X$-Band Push–Push Oscillator With Second-Harmonic Self-Injection Techniques , 2007, IEEE Transactions on Microwave Theory and Techniques.

[46]  Almudena Suarez,et al.  Analytical comparison between time- and frequency-domain techniques for phase-noise analysis , 2002 .

[47]  Ajay K. Poddar,et al.  Harmonics induced uncertainty in phase noise measurements , 2012, 2012 IEEE/MTT-S International Microwave Symposium Digest.

[48]  U.L. Rohde,et al.  Ultrawideband (UWB) RF Signal Source , 2005, 2005 2nd International Symposium on Wireless Communication Systems.

[49]  A. Demir,et al.  Phase noise and timing jitter in oscillators , 1998, Proceedings of the IEEE 1998 Custom Integrated Circuits Conference (Cat. No.98CH36143).

[50]  Robert W. Dutton,et al.  An analytical formulation of phase noise of signals with Gaussian-distributed jitter , 2005, IEEE Transactions on Circuits and Systems II: Express Briefs.

[51]  Ajay K. Poddar,et al.  Reconfigurable wideband VCOs , 2005, 2005 IEEE 16th International Symposium on Personal, Indoor and Mobile Radio Communications.

[52]  A.A. Abidi,et al.  Phase Noise and Jitter in CMOS Ring Oscillators , 2006, IEEE Journal of Solid-State Circuits.

[53]  U.L. Rohde,et al.  Ultra low noise low cost multi octave band VCO , 2005, IEEE/Sarnoff Symposium on Advances in Wired and Wireless Communication, 2005..

[54]  Algie L. Lance,et al.  Automating Phase Noise Measurements in the Frequency Domain , 1977 .

[55]  Behzad Razavi,et al.  A study of phase noise in CMOS oscillators , 1996, IEEE J. Solid State Circuits.

[56]  Milos Jankovic,et al.  Phase noise in microwave oscillators and amplifiers , 2010 .

[57]  A. Demir,et al.  Phase noise in oscillators: a unifying theory and numerical methods for characterization , 2000 .

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

[59]  S. Shreve,et al.  Stochastic differential equations , 1955, Mathematical Proceedings of the Cambridge Philosophical Society.

[60]  M. Prigent,et al.  Phase noise in oscillators - Leeson formula revisited , 2003 .

[61]  Michael M. Driscoll Modeling phase noise in multifunction subassemblies , 2011 .

[62]  K. Hoffmann,et al.  Active resonator , 2001, EUROCON'2001. International Conference on Trends in Communications. Technical Program, Proceedings (Cat. No.01EX439).

[63]  A. Abidi,et al.  Noise in relaxation oscillators , 1983 .

[64]  Bosco H. Leung,et al.  A novel model on phase noise of ring oscillator based on last passage time , 2004, IEEE Transactions on Circuits and Systems I: Regular Papers.

[65]  W. F. Walls Cross-correlation phase noise measurements , 1992, Proceedings of the 1992 IEEE Frequency Control Symposium.

[66]  Bosco H. Leung,et al.  Phase Noise of a Class of Ring Oscillators Having Unsaturated Outputs With Focus on Cycle-to-Cycle Correlation , 2009, IEEE Transactions on Circuits and Systems I: Regular Papers.

[67]  R. Dutton,et al.  Minimum achievable phase noise of RC oscillators , 2005, IEEE Journal of Solid-State Circuits.

[68]  Ajay K. Poddar,et al.  Microwave switch using MEMS-technology , 2000, 8th IEEE International Symposium on High Performance Electron Devices for Microwave and Optoelectronic Applications (Cat. No.00TH8534).

[69]  W. P. Robins,et al.  Phase Noise in Signal Sources , 1984 .

[70]  U.L. Rohde,et al.  Configurable adaptive ultra low noise wideband VCOs , 2005, 2005 IEEE International Conference on Ultra-Wideband.

[71]  Robert W. Dutton,et al.  The physical phenomena responsible for excess noise in short-channel MOS devices , 2002, International Conferencre on Simulation of Semiconductor Processes and Devices.

[72]  R. Lutwak,et al.  Low-power, 4.6-GHz, Stable Oscillator for CSAC. , 2006, 2006 IEEE International Frequency Control Symposium and Exposition.