John Stensby

False lock and bifurcation in the phase locked loop

New results are given on the phenomenon of false lock in phase locked loops (PLL). First, it is proved that for small values of closed loop gain

An approximation of the pull-out frequency parameter in a second-order PLL

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Saddle node bifurcation at a nonhyperbolic limit cycle in a phase locked loop

, there is only one function

Near real-time signal processing in the classroom using a sound card equipped personal computer

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THE HALF-PLANE PULL-IN RANGE OF A SECOND-ORDER PHASE-LOCKED LOOP

which represents the frequency error in a false locked Type I PLL. That is, there is only one false lock equilibrium point for

Radar Target Pointing Error Reduction Using Extended Kalman Filtering

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Stability of false lock states in a class of phase-lock loops

in a neighborhood of the origin. Furthermore, this equilibrium point is stable. The proof establishes that bifurcation of periodic solutions does not occur at

A new lock detector for phase-lock receivers

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Lock detection in phase-locked loops

in the nonlinear differential equation which describes the classical Type I PLL. This differs from the currently accepted theory presented in the literature. The existing theory claims that a multiplicity of such frequency error functions can exist for

An improved lock detector for phase-locked communication receivers

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