Sweep-Acquisition Time of Third-Order Generalized Tracking Systems

By using a quasi-stationary approximation a closed form expression is derived for the acquisition time of a third-order swept tracking system, with an arbitrary phase-detector characteristic and with nonideal as well as with ideal integrating filter, optimized for tracking or demodulation in the absence of noise with large initial detuning (relative to the noise bandwidth). For sinusoidal phase detector with ideal or nonideal filters, exact solutions confirm theoretical predictions.