IEEE Custom Integrated Circuits Conference 2006 2006
DOI: 10.1109/cicc.2006.320928
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Analysis of Oscillators Locked by Large Injection Signals: Generalized Adler's Equation and Geometrical Interpretation

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Cited by 44 publications
(24 citation statements)
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“…The more practically-inclined Adler ( [2]) re-visited these differential equations for the special case of weak injection, and found expressions for the frequency range over which it locks the oscillator. Recent work [3] generalizes Adler's results to large injections. Other work [4][5] [6] formulates pulling and locking in more precise mathematical terms, but while the results may help in the development of better simulators, they leave design engineers wanting for a simple, fast, and handy method to see how an oscillator responds to various possible injections.…”
Section: Introductionmentioning
confidence: 74%
See 1 more Smart Citation
“…The more practically-inclined Adler ( [2]) re-visited these differential equations for the special case of weak injection, and found expressions for the frequency range over which it locks the oscillator. Recent work [3] generalizes Adler's results to large injections. Other work [4][5] [6] formulates pulling and locking in more precise mathematical terms, but while the results may help in the development of better simulators, they leave design engineers wanting for a simple, fast, and handy method to see how an oscillator responds to various possible injections.…”
Section: Introductionmentioning
confidence: 74%
“…The differential current flowing into the LC tank is then i = sgn(v out )I 0 , where sgn is the signum function. The two injection currents can always be decomposed into differential and common mode parts, and since the common mode is only important with a large nonlinear output capacitance when it converts AM into PM [3], it is neglected here. We assume that pulling arises mainly from the differential component.…”
Section: Introductionmentioning
confidence: 99%
“…III. INJECTION LOCKING Injection-locking phenomenon has recently gained considerable attention in on-chip applications [8]- [11]. The impact of injection locking in phase noise reduction in onchip applications is studied previously [9], [10].…”
Section: Clock Jittermentioning
confidence: 99%
“…As the VCO inherent frequency is sweeping with time, the average beat frequency can be obtained by replacing in (13) and (15) with and shown as…”
Section: B Sensing Principlementioning
confidence: 99%