Journal ArticleDOI
Angle Modulation Limits of a Noise-Free Phase Lock Loop
F. Gardner,J. Heck +1 more
TLDR
Methods are presented for determining the modulation limits of phase lock loop (PLL) FM demodulators, which establish the maximum deviation that the PLL can support (i.e., remain "inlock") based on the loop design parameters.Abstract:
Methods are presented for determining the modulation limits of phase lock loop (PLL) FM demodulators These limits establish the maximum deviation that the PLL can support (ie, remain "inlock") based on the loop design parameters The modulation limits are derived from experimental data on first and second order loops using sinusoidal and Gaussian noise modulation The analysis of each PLL is broken into two regions, low frequency and high frequency modulation It is shown that the deviation limit remains constant with modulation frequency for a first order loop in the low frequency region In the high frequency region the deviation limit increases with increasing modulation frequency for both first and second order loops The deviation limit in a second order loop increases with decreasing modulation frequency in the low frequency region and is a function of the loop dampingread more
Citations
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Journal ArticleDOI
Chaos from phase-locked loops
T. Endo,Leon O. Chua +1 more
TL;DR: In this paper, the chaotic dynamics observed for the second-order phase-locked loop (PLL) operating as a frequency-modulated (FM) demodulator are studied theoretically as well as experimentally.
Proceedings ArticleDOI
Chaos from phase-locked loops
T. Endo,Leon O. Chua +1 more
TL;DR: In this paper, the authors present a rigorous analysis and a detailed experimental study of a chaotic attractor observed from a widely-used practical circuit: namely, a second-order phase-locked loop as an FM demodulation.
Journal ArticleDOI
Harmonic Distortion of a PLL FM Demodulator for Periodic Signals
Y. Takahashi,H. Ohmori +1 more
TL;DR: A method which evaluates the harmonic distortion of the phase-locked FM demodulator in the absence of noise and calculates the steady-state phase error and harmonic distortion is presented.
Journal ArticleDOI
PLL FM demodulator performance under Gaussian modulation
TL;DR: A widespread test of the phase-locked loop (PLL) FM demodulator under Gaussian modulation is simulated using the Monte Carlo method, and a lower bound on the loop noise bandwidth is found by minimizing the output click rate for given IM distortion specifications.
Book ChapterDOI
Accurate Optical-Frequency Synthesis
TL;DR: It is demonstrated that the long-hoped-for goal of optical synthesis at the fractional frequency level of 10 �15 (≈ 1 Hz)level is readily achievable with present-day technology.
References
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Journal ArticleDOI
Phase Error Characteristics of a Second-Order Phase-Lock Loop
TL;DR: An analytical expression for the phase error characteristics of a second-order phase-lock loop (PLL) is determined using the results of a previous nonlinear analysis, and the characteristics determined are for sinusoidal FM in the absence of noise.