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Following Gardner's results, by analogy with the Egan conjecture on the pull-in range of type 2 APLL, Amr M. Fahim conjectured in his book [8]: 6 that in order to have an infinite pull-in(capture) range, an active filter must be used for the loop filter in CP-PLL (Fahim-Egan's conjecture on the pull-in range of type II CP-PLL).
English: The loop architecture of a Phase Locked Loop inside a CDR is defined by its order and type number as long as the loop can be considered a linear system (also because these loops are all of the unity feedback type). If one or two blocks -as is often the case in practice- of the loop exhibit hard non-linearities, still the two numbers ...
A phase-locked loop or phase lock loop (PLL) is a control system that generates an output signal whose phase is fixed relative to the phase of an input signal. Keeping the input and output phase in lockstep also implies keeping the input and output frequencies the same, thus a phase-locked loop can also track an input frequency.
Two-stage charge pump with DC voltage supply and a pump control signal S 0 Dickson charge pump with diodes Dickson charge pump with MOSFETs PLL charge pump. A charge pump is a kind of DC-to-DC converter that uses capacitors for energetic charge storage to raise or lower voltage. Charge-pump circuits are capable of high efficiencies, sometimes ...
Floyd M. Gardner introduced "a lock-in range concept" for PLLs and posed the problem on its formalization (known as the Gardner problem on the lock-in range [5] [6]).In the 1st edition of his book he introduced a lock-in frequency concept for the PLL in the following way: [1]: 40 "If, for some reason, the frequency difference between input and VCO is less than the loop bandwidth, the loop will ...
The delay line avoids a dead band. On the right is a charge pump with a filter at its output. A phase detector or phase comparator is a frequency mixer, analog multiplier or logic circuit that generates a signal which represents the difference in phase between two signal inputs. The phase detector is an essential element of the phase-locked ...
Pull-in range guarantees that PLL will eventually synchronize, however this process may take a long time. Such long acquisition process is called cycle slipping. If difference between initial and final phase deviation is larger than 2 π {\displaystyle 2\pi } , we say that cycle slipping takes place.
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