Oscillation quenching in third order phase locked loop coupled by mean field diffusive coupling

On the Effect of Mutually Coupled Autonomous Chaotic Third-Order Phase-Locked Loop

A third order Phase locked loop, PLL, is widely used in communication systems. Lately, researcher had found that under certain conditions, such as gain, PLL is experiencing chaotic oscillations. For a single PLL, studies have shown that when the gain of PLL increases, it will encounter a chaotic behavior. To see the mutual effect of two coupled PLL, this paper will derive the mathematical dynam...

Route to chaos in a third-order phase-locked loop network

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 third-order PLLs can exhibit stationary, periodic and chaotic behaviors, when the value of a single parameter is varied. Hopf, period-doubling and saddle–saddle bifurcations are found. Chaos appears in dissipative and non-d...

Estimation of Third - Order Correlationswithin Mean Field

High Speed Delay-Locked Loop for Multiple Clock Phase Generation

In this paper, a high speed delay-locked loop (DLL) architecture ispresented which can be employed in high frequency applications. In order to design the new architecture, a new mixed structure is presented for phase detector (PD) and charge pump (CP) which canbe triggered by double edges of the input signals. In addition, the blind zone is removed due to the elimination of reset signal. Theref...

Synchronization Design of a Coupled Phase-Locked Loop

Coupled phase-locked loops (CPLLs) are introduced as novel circuits for phased-array antennas. Successful implementation relies on characterizing the synchronization behavior of CPLL circuits over a broad range of circuit parameters. Considering inherent time delay in the phase-locked loop demonstrates the degradation in the pull-in and hold-in ranges, as well as circuit instabilities, suggesti...