Timing recovery in hard-disk-drive data transfer is an increasingly critica
l problem due to the growing data rate to be supported. We present a novel
approach to the stability analysis of a high-order digital phase-locked loo
p (PLL), addressing the specific application. We find the value of the inte
grating and proportional open-loop gain leading to stable behavior. The ana
lysis was developed in both the digital and analog domains and the obtained
results are compared. The stability analysis in the unified transforms dom
ain is also developed, showing that it matches the results obtained with bo
th discrete and continuous-time analysis.