Abstract:The full-rate linear phase detector (PD) has not only phase detection capability but also single-sided frequency detection capability intrinsically. Previously, this fact has been discovered by researching the phase and frequency characteristics of the combined full-rate linear PD and charge pump (CP) under the condition that the ratio of the received data frequency (f DATA ) and the recovered clock frequency (f CLK ) is set as an integer number. In this paper, for completeness of the theory, the phase and frequency characteristics of the combined full-rate linear PD and CP are studied again while the ratio of f DATA and f CLK is set as a general rational number. Additionally, theoretical analyses of the lock-in range and the lock time of the referenceless single-loop clock and data recovery (CDR) including the full-rate linear PD are newly developed and verified. The calculated lock times by the analysis results agree well with the measured lock times from the MATLAB Simulink simulations.