operations for its analysis. We show that the analysis induced by E is very imprecise. Hence, in Section 5 we refine the domain E into the more precise domain ER for escape analysis. In Section 6, we discuss our prototype implementation and experimental results. Section 7 concludes the paper by highlighting the differences between previous proposals and our own approach. Section 8 contains the ...

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...