Linear domain operation
Phase-locked loop

– It is assumed that the signal :

• At t = 0, the loop is therefore hooked with ϕ _e = ϕ _s = ϕ = 0, u ₁ = u ₂ = 0.

• For t > 0, we apply ϕ _e (t ) and propose to determine the response ϕ _s under the assumption that the phase error ϕ is limited to the linearity zone of the phase comparator (linear zone around 0).

We can then make the approximation...