A Compact Phase-Domain Delta–Sigma Time-to-Digital Converter With 8.5-ps Resolution for LiDAR Applications

This letter introduces a compact, high-resolution time-to-digital converter (TDC) for lidar applications. In contrast to a conventional histogram-based peak detection method, this letter proposes a mean detection method using a highly digitized phase-domain delta–sigma (PD
$\Delta \Sigma$
) TDC. The proposed TDC operates in an incremental
$\Delta \Sigma $
manner for a compact implementation and utilizing a digital integrator as a loop filter that facilitates an extended counting, resulting in significantly improved resolution. By utilizing a dual gated-ring oscillator (GRO) structure, time-quantization noise due to a residue phase of GRO is effectively mitigated. To address the issue of single-photon avalanche diode (SPAD) signals due to their stochastic nature, a dual time window is proposed to compensate for counting error when SPAD trigger missing occurs. Fabricated in a 65-nm CMOS process, the prototype TDC occupies only an area of
$2000~\mu \text{m}~^{\mathrm{ 2}}$
. It achieves a noise level of 27.6 ps for the number of cycles of 32. When the cycle is 1000, it achieves a maximum integral nonlinearity (INL) of 80 ps (+53 ps/-27 ps) with a resolution of 8.5 ps.