4.28 The imperfect second-order PLL is defined as a PLL with the loop filter s+a F(s) = + da in which A is the offset of the pole from the origin rela- tive to the zero location. In practical implementations A is small but often cannot be neglected. Use the linear model of the PLL and derive the transfer function for 0(s)/@(s). and in terms of K,, a, and A. Derive expressions for o,
4.28 The imperfect second-order PLL is defined as a PLL with the loop filter s+a F(s) = + da in which A is the offset of the pole from the origin rela- tive to the zero location. In practical implementations A is small but often cannot be neglected. Use the linear model of the PLL and derive the transfer function for 0(s)/@(s). and in terms of K,, a, and A. Derive expressions for o,
Introductory Circuit Analysis (13th Edition)
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KVL and KCL
KVL stands for Kirchhoff voltage law. KVL states that the total voltage drops around the loop in any closed electric circuit is equal to the sum of total voltage drop in the same closed loop.
Sign Convention
Science and technology incorporate some ideas and techniques of their own to understand a system skilfully and easily. These techniques are called conventions. For example: Sign conventions of mirrors are used to understand the phenomenon of reflection and refraction in an easier way.
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Transcribed Image Text:4.28 The imperfect second-order PLL is defined as a
PLL with the loop filter
s+a
F(s) =
+ la
in which A is the offset of the pole from the origin rela-
tive to the zero location. In practical implementations À is
small but often cannot be neglected. Use the linear model
of the PLL and derive the transfer function for 0(s)/@(s).
Derive expressions for o, and in terms of K,, a, and A.
imperfect
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