4.1 A 16GHz, $41\text{kHz}_{\text{rms}}$ Frequency Error, Background-Calibrated, Duty-Cycled FMCW Charge-Pump PLL

FMCW radars are the key components for contactless range and motion sensing in industrial and healthcare applications. The radar-sensor performance, such as chirp bandwidth $(\text{BW}_{\mathrm{c}\text{hi}\text{rp}})$ , chirp slope, and frequency-modulation (FM) linearity, are determined by the FMCW chirp generator. When battery powered, the radar should be able to operate in a duty-cycled mode with minimal overhead, i.e., fast startup, fast lock at the start of every chirp burst, and minimal reset time in-between chirps, without degrading the radar range and Doppler performance. This work presents a robust fast-lock-acquisition charge-pump (CP)-PLL with a PFO for duty-cycled chirp generation. A fractional-N CP-PLL in a two-point-modulation (TPM) architecture breaks the trade-off between the PLL bandwidth and fast-chirp synthesis [1], [2]. A time-domain sign-extraction by using a 1 b TOC [3] enables the background calibration. A phase-offset-compensating digital-to-time converter (POC-OTC) assists the sign-extraction by compensating the positive/negative phase offsets generated within the type-Il PLL loop.