An Extension of Viterbi's Analysis of the Cycle Slipping in a First-Order Phase-Locked Loop |
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Authors: | Bozzoni EA Marchetti G Mengali U Russo F |
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Institution: | Dipartimento di Elettrotecnica ed Elettronica University of di Pisa Pisa, Italy; |
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Abstract: | The phenomenon of cycle slipping in a first-order phase-locked loop is reconsidered and a simple expression for the expected number ? of cycles slipped per second is given in the form of a rapidly converging series. In this way the computation of ? becomes much easier than with previously known formulas. A formula allowing the computation of the expected number of cycles gained or lost per second is also given. These results are obtained by extending a technique used by Viterbi. The outcome of experimental verifications of the theory is also reported. |
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