A Charge-Sharing Locking Technique With a General Phase Noise Theory of Injection Locking
Yizhe Hu, Xi Chen, Teerachot Siriburanon, Jianglin Du, Vivek Govindaraj, Anding Zhu, Robert Bogdan Staszewski
Abstract
This article presents a millimeter-wave (mmW) frequency synthesizer based on a new charge-sharing locking (CSL) technique. A charge-preset capacitor is introduced for charge sharing with a resonant <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">LC</i> -tank for phase correction, while the resulting charge residue on the sharing capacitor is processed by a digital frequency-tracking loop (FTL) against the process, voltage, and temperature (PVT) variations. Furthermore, a general phase noise (PN) theory of CSL, with injection locking (IL) being a special case, is proposed based on a unified multirate <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${z}$ </tex-math></inline-formula> -domain model, supporting any frequency division ratio <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">${N}$ </tex-math></inline-formula> and CSL (or IL) strength <inline-formula xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink"> <tex-math notation="LaTeX">$\beta $ </tex-math></inline-formula> . The new theory sheds light not only on all IL-like PN phenomena (chiefly, its “loop” bandwidth being up to half of the reference frequency, and the oscillator PN increasing 3 dB beyond the “loop” cutoff frequency) but also on how to choose the CSL bandwidth via the sharing capacitor in order to optimize the rms jitter performance. The prototype in 28-nm CMOS achieves 77-fs rms jitter in 21.75—26.25 GHz while consuming 16.5 mW for mmW quadrature frequency generation.