Abstract
The stable operation of first and second order Zero Crossing Digital Phase Locked Loop (ZCDPLL) is extended by using a Fixed Point Iteration (FPI) method with relaxation. The non-linear components of ZCDPLL such as sampler phase detector and Digital Controlled Oscillator (DCO) lead to unstable and chaotic operation when the filter gains are high. FPI will be used to stabilize the chaotic operation and consequently extend the lock range of the loop. The proposed stabilized loop can work in higher filter gains which are needed for faster signal acquisition.
Highlights
Digital Phase Locked Loop (PLL) has been widely used and for many years in wireless and wired communications subsystems
A number of methods were proposed for chaos control [13] such as using Pyragas method to broaden the tracking range by extending the stable operation behaviour of Zero Crossing Digital Phase Locked Loop (ZCDPLL) to a larger digital filter gain, which leads to larger input frequency [11]
This paper proposes a Fixed Point Iteration (FPI) with relaxation to control the chaotic operation of the ZCDPLL
Summary
Digital Phase Locked Loop (PLL) has been widely used and for many years in wireless and wired communications subsystems It is an essential component in clock and carrier recovery, and frequency synthesizer. ZCDPLL is a closed loop system used to follow the zero crossing of the input carrier signal A number of methods were proposed for chaos control [13] such as using Pyragas method to broaden the tracking range by extending the stable operation behaviour of ZCDPLL to a larger digital filter gain, which leads to larger input frequency [11].
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