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The Gardner problem and cycle slipping bifurcation for type 2 phase-locked loops
Nikolay V. Kuznetsov, Dmitry G. Arseniev, Mikhail V. Blagov, Mik · 2021-12-03 · via eess.SP updates on arXiv.org

In the present work, a second-order type 2 PLL with a piecewise-linear phase detector characteristic is analysed. An exact solution to the Gardner problem on the lock-in range is obtained for the considered model. The solution is based on a study of cycle slipping bifurcation and improves well-known engineering estimates.

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