New equations are proposed for frequency and amplitude of a ring oscillator. The method is general enough to be used for all types of delay stages. Using exact largesignal circuit analysis, closed form equations for estimating the frequency and amplitude of a high frequency ring oscillator are derived as an example. The method takes into account the effect of various parasitic capacitors to...

the dynamical behaviour of the forced escape oscillator, which depends on the parameter values we considered, have been studied numerically using the techniques of phase portraits and poincar'{e} sections. also, we employed perturbation methods such as lindstedt's method to obtain the frequency-amplitude relation of escape oscillator.

In this research, a new explanation and design crystal oscillator based on injection locking phenomenon is proposed. The crystal oscillator is viewed as a regular oscillator whereas is ac small input signal is its forced function. In this work, a crystal is considered to be a very small sinusoidal signal generator. To guarantee that the injection locking phenomenon is occurred the frequency of ...

This paper proposes a high frequency ring oscillator with low power consumption. The proposed ring oscillator is based on Gated Ring Oscillator (GRO) by applying boot strap technique. Simulation results indicate that the FoM (Power Consumption /Oscillation Frequency) of the proposed ring oscillator is greater than that of the conventional ring oscillator. Figure 1 shows delay element using boot...

 In this work, time domain analysis is used to solve Adler’s equation in order to obtain the required time, for an oscillator under external injection, reaching the steady-state condition. Mathematical approach has been applied to fully describe the transient of frequency acquisition in injection-locked LC and Ring oscillators considering their time-varying nature. Then, the analysis is verifie...

An experimental method, employing a scanning tunneling microscope ~STM! as an actuator and a scanning electron microscope ~SEM! as a motion detector, was developed to study microelectromechanical systems ~MEMS! and has been applied to study microfabricated cantilever beams. Vibrations actuated by an ac voltage applied to the piezodrive are transferred to the sample by the STM tip, which also pr...

Adaptive oscillators are a type of nonlinear oscillator that capable learning and storing information in plastic states. Here, typical mechanical pendulum is modified to have an adjustable rod length create adaptive frequency oscillator. Since the resonance function length, this allows learn encode from external source. An experimental designed constructed, its performance compared numerical si...

A theoretical spectroscopic analysis of a microwave driven superconducting charge qubit Cooper-pair box coupled to an RLC oscillator model is performed. By treating the oscillator as a probe through the backreaction effect of the qubit on the oscillator circuit, we extract frequency splitting features analogous to the AutlerTownes effect from quantum optics, thereby extending the analogies betw...