Journal Article10.1109/PROC.1973.9292
A study of locking phenomena in oscillators
R. Adler
- 01 Oct 1973
- Vol. 61, Iss: 10, pp 1380-1385
965
TL;DR: In this article, a differential equation is derived which gives the oscillator phase as a function of time, and with the aid of this equation, the transient process of "pull-in" as well as the production of distorted beat note are described in detail.
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Abstract: Impression of an external signal upon an oscillator of similar fundamental frequency affects both the instantaneous amplitude and instantaneous frequency. Using the assumption that time constants in the oscillator circuit are small compared to the length of one beat cycle, a differential equation is derived which gives the oscillator phase as a function of time. With the aid of this equation, the transient process of "pull-in" as well as the production of a distorted beat note are described in detail. It is shown that the same equation serves to describe the motion of a pendulum suspended in a viscous fluid inside a rotating container. The whole range of locking phenomena is illustrated with the aid of this simple mechanical model.
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Citations
A 10Gb/s injection-locked clock recovery circuit in 47GHz f/sub T/ SiGe BiCMOS
J.-H.C. Zhan,J.S. Duster,Kevin Kornegay +2 more
- 12 Dec 2005
TL;DR: An injection-locked clock recovery (CR) unit capable of extracting the clock from random binary sequences is presented and correctly recovers a 10.3GHz clock from a 2/sup 31/ - 1 PRBS data stream.
3
An 8Gb/s 0.75mW/Gb/s injection-locked receiver with constant jitter tracking bandwidth and accurate quadrature clock generation in 40nm CMOS
Shuai Chen,Qi Ao,Hua Jing,Xiaobing Shi,Shiguang Meng,Xinke Chen +5 more
- 01 Dec 2014
TL;DR: An energy-efficient forwarded-clock receiver in 40nm CMOS process that adopts injection-locked ring oscillator (ILRO) to implement jitter filtering and phase deskew and cascaded ILROs enable the receiver to maintain a constant jitter tracking bandwidth (JTB) for good jitter tolerance.
3
A 90-nm CMOS 144 GHz Injection Locked Frequency Divider with Inductive Feedback
TL;DR: In this article, a 144 GHz divide-by-2 injection locked frequency divider (ILFD) with inductive feedback developed in a commercial 90-nm Si RFCMOS technology was demonstrated.
3
Closed-Form expression of frequency pulling in unlocked-driven nonlinear oscillators
Paolo Maffezzoni,Lorenzo Codecasa,D. D'Amore,M. Santomauro +3 more
- 01 Aug 2007
TL;DR: This paper provides an original closed-form expression of frequency-pulling phenomenon in unlocked-driven nonlinear oscillators that employs the Floquet eigenvector that projects external perturbation into phase-domain and has the peculiarity to be very general being applicable to any oscillator topology.
3
References
A Frequency-Dividing Locked-in Oscillator Frequency-Modulation Receiver
G.L. Beers
- 01 Dec 1944
TL;DR: In this article, a new type of frequency-modulation receiving system is described in which a continuously operating local oscillator is frequency-mated by the received signal at one fifth the intermediate frequency.
15
On the Synchronization of Oscillators
TL;DR: In this paper, a nonlinear transformation is introduced in which the state variables are directly related to the quantities to be controlled, and an efficient control structure is devised based on the new state variables which are slowly varying.
5