The effect of reference clock jitter on the all-digital phase-locked loop (ADPLL) is considered. The analog-to-digital interface [e.g., a time-to-digital converter (TDC)] is considered only briefly. For the digital-to-analog interface [e.g., a digitally controlled oscillator (DCO)], the analysis is studied in detail. The power spectral density and the integrated power of the ADPLL's output phase noise are assessed for two types of reference clock jitter: 1) small correlated jitter (such as for a typical reference oscillator) and 2) uncorrelated jitter. Uncorrelated clock jitter (intentionally added at the DCO), which is uniformly spread over a sampling interval, is shown to nearly remove the digital images at the ADPLL output, which significantly lowers the minimum reference clock frequency in wireless designs.