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
Patent
Tunable frequency, low phase noise and low thermal drift oscillator
Ulrich L. Rohde,Ajay Kumar Poddar +1 more
- 06 Aug 2004
TL;DR: An oscillator comprising a three-terminal device and circuitry coupled across a first terminal and a second terminal of the device is used to bias the device and feedback a select amount of noise generated by the device into the device so as to reduce a proportional amount of phase noise present at a third terminal as discussed by the authors.
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A simple, unified phase noise model for injection-locked oscillators
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TL;DR: In this paper, the authors present a unified phase noise model for injection-locked oscillators (ILO) and show that an ILO is identical to a type-I first-order PLL in its noise behavior within the lock range.
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W-band HEMT-oscillator MMICs using subharmonic injection locking
TL;DR: In this paper, high-order subharmonic injection locking was applied to stabilize high-frequency oscillators based on GaAs pseudomorphic-HEMT technology for W-band applications.
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A Variable-Phase Ring Oscillator and PLL Architecture for Integrated Phased Array Transceivers
TL;DR: The principles of operation of the VPRO and PLL architecture in transmit and receive modes are presented, along with a detailed theoretical treatment of critical performance metrics such as linearity and sensitivity.
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On the dynamics of two-dimensional array beam scanning via perimeter detuning of coupled oscillator arrays
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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.
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