Injection-locked oscillators (ILO's) are investigated in a new theoretical approach. A first-order differential equation is derived for the noise dynamics of ILO's. A single-ended injection-locked frequency divider (SILFD) is designed in a 0.5m CMOS technology operating at 1.8 GHz with more than 190 MHz locking range while consuming 3 mW of power. A differential injection-locked frequency divider (DILFD) is designed in a 0.5-m CMOS technology operating at 3 GHz and consuming 0.45 mW, with a 190 MHz locking range. A locking range of 370 MHz is achieved for the DILFD when the power consumption is increased to 1.2 mW.
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