This paper is presented 10 GHz voltage controlled ring oscillator for high speed application. The voltage controlled ring oscillator was designed and fabricated in 0.13μm CMOS technology. The oscillator is 7-stages ring oscillator with one inverter replaced by NAND-gate for shutting down in the ring oscillator during idle mode.. We also used of several techniques such as transistor sizing to im...

1 Model equations 2 1.1 A simple model of the two-switch negative feedback oscillator (Design I) . . . . . . . . . . . . . . . . . 2 1.1.1 Two-dimensional simple models . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 6 1.2 A simple model of the amplified negative feedback oscillator (Design II) . . . . . . . . . . . . . . . . . 7 1.3 A simple model of the three-switch ri...

Beyond the rotating-wave approximation, the dynamics of a quantum oscillator interacting strongly and off-resonantly with a two-level system exhibit beatings, whose period equals the revival time of the two-level system. On a longer time scale, the quantum oscillator shows collapses, revivals and fractional revivals, which are encountered in oscillator observables like the mean number of oscill...

Oscillator Architectures and Enhanced Frequency Synthesizer. (December 2009) Sang Wook Park, B.S., Yonsei University, Korea; M.S., Yonsei University, Korea Chair of Advisory Committee: Dr. Edgar Sánchez-Sinencio A voltage controlled oscillator (VCO) that generates a periodic signal whose frequency is tuned by a voltage is a key building block in any integrated circuit system. A sine wave oscill...

Because the choice of oscillator resonant circuit parameters depends mostly on experience, we propose nonlinear differential equations to describe an oscillator based on an equivalent circuit of the oscillator and then to describe the internal electrical noise of the oscillator by introducing a stochastic term that establishes a nonlinear stochastic differential equation to analyse the oscillat...

78 Abstract— In this paper we introduce an ultra low power CMOS LC oscillator and analyze a method to design a low power low phase noise complementary CMOS LC oscillator. A 1.8GHz oscillator is designed based on this analysis. The circuit has power supply equal to 1.1 V and dissipates 0.17 mW power. The oscillator is also optimized for low phase noise behavior. The oscillator phase noise is -12...

In this paper we introduce an ultra low power CMOS LC oscillator and analyze a method to design a low power low phase noise complementary CMOS LC oscillator. A 1.8GHz oscillator is designed based on this analysis. The circuit has power supply equal to 1.1 V and dissipates 0.17 mW power. The oscillator is also optimized for low phase noise behavior. The oscillator phase noise is -126.2 dBc/Hz an...

In this paper, we present a comparative study between the Adomian decomposition method and two classical well-known Runge-Kutta and central difference methods for the solution of damped forced oscillator problem. We show that the Adomian decomposition method for this problem gives more accurate approximations relative to other numerical methods and is easier to apply. 

in the present paper the linear oscillator in r3 with z =constanthas been considered. the aim is to determine the necessary conditions forthe persistence of periodic solutions under discontinuous perturbations. a newapproach based on a computational method has been used. at the end weapply our method on an example.