In 1981, famous engineer William F. Egan conjectured that a higher-order type 2 PLL with
an infinite hold-in range also has an infinite pull-in range, and supported his conjecture with …

Various oscillating (periodic and chaotic) circuits and systems show interesting responses
whose nature changes with varying parameters. It often happens that a change of one …

Transmission and switching in digital telecommunication networks require distribution of
precise time signals among the nodes. Commercial systems usually adopt a master-slave …

The dynamics of a third order phase locked loop (PLL) with a resonant low pass filter (LPF)
has been studied numerically in the parameter space of the system. The range of stable …

The atomic force microscope (AFM) introduced the surface investigation with true atomic
resolution. In the frequency modulation technique (FM-AFM) both the amplitude and the …

In this letter, we propose a new approach to the design of a digital phase-locked loop
(DPLL) with a finite impulse response (FIR) structure, deadbeat property, and H∞ …

The dynamics of a phase-locked loop (PLL), an essential component for the electronic
synchronization processes, is described by an ordinary nonlinear differential equation with …

The double-frequency jitter is one of the main problems in clock distribution networks. In
previous works, some analytical and numerical aspects of this phenomenon were studied …

Phase-locked loops (PLLs) are widely used in applications related to control systems and
telecommunication networks. Here we show that a single-chain master–slave network of …

Clock signal distribution in telecommunication commercial systems usually adopts a master-
slave architecture, with a precise time basis generator as a master and phase-locked loops …