Mathematical model of the phase-locked loop with a current detector

The mathematical model of the pulses phase-locked loop (PLL) with a frequency-phase detector and a current pump, which is represented as a set of difference and transcendental equations and relies on the dynamics of the given deterministic system (in the general case, an arbitrary-order loop filter)...

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Bibliographic Details
Published in:Journal of communications technology & electronics 2014-10, Vol.59 (10), p.1061-1068
Main Authors: Shakhtarin, B. I., Timofeev, A. A., Sizykh, V. V.
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Automation
Communications Engineering
Communications technology
Computer simulation
Differential equations
Dynamical systems
Dynamics
Electronics
Engineering
Flat panel displays
Mathematical analysis
Mathematical models
Networks
Phase locked loops
Pumps
Sensors
Signal processing
Studies
Technology
Theory and Methods of Signal Processing
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Summary:The mathematical model of the pulses phase-locked loop (PLL) with a frequency-phase detector and a current pump, which is represented as a set of difference and transcendental equations and relies on the dynamics of the given deterministic system (in the general case, an arbitrary-order loop filter) described by an automation with a finite number of components and combined differential equations, is examined. An algorithm describing the operation of the in-lock indicator of the given PLL is proposed. The particular cases of the first- and second-order loop filters are discussed. PLL simulation is performed under transient conditions.
ISSN:1064-2269
1555-6557
DOI:10.1134/S1064226914100064