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In this paper, we propose a low-power all digital phase-locked loop with a wide input range, and a high resolution TDC that uses phase-interpolator and a time amplifier. The resolution of the proposed TDC is improved by using a phase-interpolator which divides the inverter delay time and the time amplifier which extends the time difference between the reference frequency and the DCO clock. The phase noise of the proposed ADPLL is improved by using a fine resolution DCO with an active inductor. In order to control the frequency of the DCO, the transconductance of the active inductor is tuned digitally. To cover the wide tuning range and to operate at a lowpower, a three-step coarse tuning scheme is used. In addition, the DCO gain needs to be calibrated digitally in order to compensate for gain variations. The die area of the ADPLL is 0.8 mm 2 using 0.13 lm CMOS technology. The frequency resolution of the TDC is 1 ps. The DCO tuning range is 58% at 2.4 GHz and the effective DCO frequency resolution is 0.14 kHz. The phase noise of the ADPLL output at 2.4 GHz is -120.5 dBc/Hz with a 1 MHz offset. The total power consumption of the ADPLL is 12 mW from a 1.2 V supply voltage.Keywords All-digital phase-locked loop (ADPLL) Á Time-to-digital converter (TDC) Á Phase-interpolator Á Time amplifier Á Wide tuning range frequency Á Active inductor Á Fine-resolution Á Digitally controlled oscillator (DCO)