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Non-Linear Time Varying Modeling for Phase Noise in Oscillators Based On a Discrete Recursive Approach

<p> A unique approach for the modeling of phase noise is examined in this thesis. In
previous work regarding phase noise theory, the memory property of phase is virtually
ignored. The thesis introduces the Discrete Recursive Procedure (DRP): a systematic
approach or methodology to predict phase noise using a discrete recursive algorithm
taking into account the memory property of phase. This discrete recursive algorithm is a
general extension of the Linear Time Varying (LTV) model and is referred to as the NonLinear
Time Varying (NLTV) model. </p> <p> Simulations are performed using the DRP method. Phase fluctuation comparisons
are made between the LTV and the NLTV models for an ideal oscillator. The simulation
results show that the NLTV model taking into account the memory property of phase
makes more realistic phase noise predictions than the LTV model for asymmetrical
Impulse Sensitivity Function (ISF) cases. Phase noise simulation results using the NLTV
model are given for a modified 810-MHz CMOS cross-coupled LC oscillator design. At
90kHz offset, the simulation prediction (-89 dBc/Hz) and the measurement readings (-93
dBc/Hz) are closely matched with a difference of approximately 4 dBc/Hz while the CAD
simulation prediction ( -101. 8) has a difference of 9 dBc/Hz from the measurements. In the
phase noise simulation for the 62-MHz BIT Colpitts oscillator design, the NLTV model
predicts a -26 dBc/decade and -19.5 dBc/decade for the flicker noise and thermal noise
regions in accordance with the theoretical -30 dBc/decade and -20 dBc/decade slopes. </p> / Thesis / Master of Applied Science (MASc)

Identiferoai:union.ndltd.org:mcmaster.ca/oai:macsphere.mcmaster.ca:11375/21867
Date07 1900
CreatorsLeung, Andrew
ContributorsChen, C. H., Electrical and Computer Engineering
Source SetsMcMaster University
LanguageEnglish
Detected LanguageEnglish

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