Abstract
This chapter presents the fundamentals of the oscillation of harmonic oscillators first. It is followed with a close examination of the noise spectrum of harmonic oscillators. The modeling of injection-locked harmonic oscillators using a nonlinear system and the first-harmonic injection-locking of harmonic oscillators are investigated. Both linear and nonlinear approaches capable of deriving the lock range of harmonic oscillators are studied. The chapter also investigates the superharmonic injection-locking of harmonic oscillators. Both the second-order and third-order superharmonic injection-locking of harmonic oscillators are studied. Divide-by-2 and divide-by-3 injection-locked frequency dividers, which are the representative applications of the superharmonic injection-locking of harmonic oscillators, are studied in detail. The subharmonic injection-locking of harmonic oscillators is investigated. The intrinsic relations among the lock range of harmonic oscillators in first-harmonic, superharmonic, and subharmonic injection-locking are explored. Finally, the phase noise of injection-locked harmonic oscillators is studied.
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