Page 78 - Phase-Locked Loops Design, Simulation, and Applications

MIXED-SIGNAL PLL ANALYSIS Ronald E. Best 55

Figure 3.7 A mechanical analogy illustrating the linear and nonlinear performance of the
PLL. (Symbols defined in text.)

■ The torque J generated by the gravity of the weight G; J = rG, where r is the radius of
A A
the cylinder.

Introducing these individual torques into Eq. (3.45) yields

(3.46)

As in the case of the PLL, we can write this equation in a normalized form. If we introduce
the substitutions

(3.47)