Article | REF: E328 V1

Phase-locked loop

Author: André PACAUD

Publication date: August 10, 2006, Review date: April 16, 2015

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4. Linear domain operation

– It is assumed that the signal :

y e = A sin ω 0 t

• 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...

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Linear domain operation