Phase Locked Loops Design And Analysis
Phase Locked Loops Design And Analysis
Phase Locked Loops Design And Analysis
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4 COSTAS LOOP<br />
Consider now a block diagram of the Costas loop (Fig. 7)<br />
OSC master<br />
OSC slave<br />
Figure 7: Costas loop<br />
Here all denotations are the same as in Fig. 1, 90 o – is a quadrature component. As before, we consider<br />
here the case of the high-frequency harmonic and impulse signals fj(t).<br />
However together with the assumption that conditions (2) and (4) are valid we assume also that (3) is<br />
satisfied for the signal of the type (1) and the relation<br />
Filter<br />
|ω1(τ) − 2ω2(τ)| ≤ C1, ∀ τ ∈ [0, T ], (23)<br />
is valid for the signal of the type (5).<br />
Applying the similar approach we can obtain differential equation for the Costas loop.<br />
...<br />
It follows that for deterministic (when the noise is lacking) description of the Costas loops the conventional<br />
introduction of additional filters turns out unnecessary. Here a central filter plays their role.<br />
References<br />
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[Best Ronald E. (2003)] Best Ronald, E. (2003). <strong>Phase</strong>-Lock <strong>Loops</strong>: <strong>Design</strong>, Simulation and Application,<br />
McGraw Hill, 5 ed .<br />
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Processor Fundamentals Architecture and Features, IEE Press. New York.<br />
[Leonov G.A., Reitmann V. and V.B. Smirnova (1992)] Leonov, G., Reitmann, V., Smirnova, V. (1992).<br />
Nonlocal Methods for Pendulum-Like Feedback Systems, Teubner Verlagsgesselschaft. Stuttgart; Leipzig.<br />
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