Jan 5, 2020
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1. Field of the Invention
The present invention relates to a PLL circuit.
2. Description of the Related Art
In the past, PLL circuits have been widely used for various purposes such as in frequency multiplication circuits or in phase comparison circuits. Among these PLL circuits, for example, there are known those that generate a plurality of clock signals with the same phase by dividing the frequency of a reference clock signal (for example, see Japanese Laid-Open Patent Application Publication No. 2004-292662).
Furthermore, among these PLL circuits, there are known those that generate a plurality of clock signals having the same phase by canceling out a second harmonic component or more included in the reference clock signal (for example, see Japanese Laid-Open Patent Application Publication Nos. 2006-166060, 2004-328621, and H05-278825).
However, the PLL circuits described in Japanese Laid-Open Patent Application Publication Nos. 2004-292662 and 2006-166060 are disadvantageous in that since they do not take into account the amplitude of the reference clock signal, it is impossible to control the phase when the amplitude of the reference clock signal changes.
Furthermore, the PLL circuits described in Japanese Laid-Open Patent Application Publication Nos. 2004-328621 and H05-278825 are disadvantageous in that since they generate a plurality of clock signals by canceling out the second harmonic component or more included in the reference clock signal, it is necessary to control a high-frequency PLL circuit in accordance with the change in the power supply voltage, thereby causing a problem in that it is impossible to control the phase of the reference clock signal....Nonlinear Dynamics as a Mathematical Theory and Its ApplicationsIvan KochubeiDepartment of Mathematics The Catholic University of AmericaNewark, New Jersey, USAIf the classical theories of mathematics and their applications in physics had not been nonlinear dynamics, perhaps it would not exist. Much of the success of nonlinear dynamics has come from its applica-tions in physics.
...Arbitrary Bounded Operators and Functional Analysis and Its ApplicationsIvan KochubeiDepartment of Mathematics The Catholic University of AmericaNewark, New Jersey, USATheoretical and applied research in nonlinear dynamics is connected to many parts of mathematics and physical sciences. In ac619d1d87
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