Design and Analysis of ΔΣ Modulator Analogous Bang-Bang Digital PLL

Abstract

This paper presents the analysis and design methodology of a second-order ΔΣ modulator analogous bang-bang digital phase-locked loop (DSBPLL). When the bang-bang-based digital PLL (BB-DPLL) cannot fully track the DCO jitter, the jitter slewing effect exacerbates the in-band noise. The proposed DSBPLL can increase the PLL filter order without using a high-order loop filter, thereby mitigating the in-band noise caused by input tracking jitter. Theoretical noise analysis confirmed that the proposed DSBPLL can reduce 54.3% of the integrated jitter from 100 kHz to 100 MHz, consistent with the measurement results. © 2025 John Wiley & Sons Ltd.