Title :
Model Comparison for
Noise in Oscillators With and Without AM to PM Noise Conversion
Author :
Suh, Inwon ; Roblin, Patrick
Author_Institution :
Dept. of Electr. & Comput. Eng., Ohio State Univ., Columbus, OH, USA
Abstract :
A new generalized 1/f Kurokawa noise analysis applicable to both low- and high-Q oscillators is proposed for 1/f phase modulation (PM) and amplitude modulation (AM) noise. A theoretical correspondence between the new generalized Kurokawa theory and the impulse sensitivity function and the perturbation projection vector (PPV) is also derived in the absence and presence of AM to PM noise conversion. The importance of AM to PM noise conversion effect is investigated next using a modified Van der Pol oscillator with fourth-order nonlinear capacitances and a harmonic short. The same analytic solution for the phase noise is derived for both the new generalized 1/f Kurokawa and the PPV analysis and is found to match the results from the conversion matrix method in two commercial harmonic-balance circuit simulators.
Keywords :
1/f noise; CMOS analogue integrated circuits; amplitude modulation; high electron mobility transistors; matrix algebra; oscillators; phase modulation; 1/f Kurokawa noise analysis; AM-PM noise conversion; CMOS ring oscillator; PPV; Van der Pol oscillator; amplitude modulation noise; bipolar junction transmitter Colpitts oscillator; fourth-order nonlinear capacitances; harmonic-balance circuit simulators; high-Q oscillators; impulse sensitivity function; matrix conversion method; perturbation projection vector; phase modulation; transmission-line pseudomorphic HEMT oscillator; 1f noise; Analytical models; Correlation; Harmonic analysis; Integrated circuit modeling; Oscillators; Phase noise; $1/f$ noise; Correlation; Kurokawa theory; impulse sensitivity function (ISF) theory; oscillator; perturbation projection vector (PPV) theory;
Journal_Title :
Microwave Theory and Techniques, IEEE Transactions on
DOI :
10.1109/TMTT.2011.2170086