In this work we propose a self-adaptive clock based on a ring oscillator as the solution for the increasing uncertainty in the critical path delay. This uncertainty increase forces to add more safety margins to the clock period which produces a circuit performance downgrade. We evaluate three self-adaptive clock systems: free running ring oscillator, infinite impulse response filter controlled ...

In this paper, a Van der Pol oscillator containing a periodic oscillator is considered. A simple and effective iteration procedure to search the solution of the modified Van der Pol oscillator equation is proposed. This procedure is a powerful tool for determination of periodic solution of a non-linear equation of motion. The solutions obtained using the present iteration procedure are in good ...

Abstract. We consider a spin-boson model in which a spin 1 system is coupled to an oscillator. A unitary transformation is applied which allows a separation of terms responsible for the Bloch-Siegert shift, and terms responsible for the level splittings at anticrossings associated with Bloch-Siegert resonances. When the oscillator is highly excited, the system can maintain resonance for sequent...

A CMOS standard three-stage ring oscillator is examined in UMC 0.13 m technologies. As the ring oscillator is a part of IR-UWB (Impulse Radio Ultra Wide Band) pulse generator, its oscillating frequency determines the central frequency of the pulse spectrum and has significant effect on spectrum fitting within UWB FCC mask. The influence of inverter feedback resistors on the ring oscillator freq...

This paper presents a Low power consumption & Low phase Noise Voltage Controlled Ring Oscillator (VCRO) operated at 2.45 GHz. Frequency implemented in 0.18 μm complementary metal-oxide semiconductor (CMOS) technology with the unique differential delay cell. The Voltage Controlled Ring Oscillator is design in Tanner Tool Version 13 environment. Power Consumption should be reduced to improve the ...

MEMS Oscillator design for high frequency application is approached in this project and its gain, noise and power are analyzed. The CMOS Micro Electro Mechanical System resonator structure is modeled using its RLC equivalent circuit where all passive components are extracted by COMSOL Mutiphysics tool. MEMS based oscillator requires to be combined with amplifier circuits to improve the performa...

We perform a 1-parameter family of self-adjoint extensions characterized by the parameter ω0. This allows us to get generic boundary conditions for the quantum oscillator on N dimensional complex projective space(CP N ) and on its non-compact version i.e., Lobachewski space(LN ) in presence of constant magnetic field. As a result, we get a family of energy spectrums for the oscillator. In our f...

In this paper, the problem of a 1D elastic distributed system coupled with a moving linear oscillator, often referred to as the ‘‘moving oscillator’’ problem, is studied. The problem is formulated using a ‘‘relative displacement’’ model, which shows that, in the limiting case of infinite oscillator stiffness, the moving mass problem is recovered. The coupled equations of motion are recast into ...

We define a Wigner distribution function for a one-dimensional finite quantum system, in which the position and momentum operators have a finite (multiplicity-free) spectrum. The distribution function is thus defined on discrete phase-space, i.e. on a finite discrete square grid. These discrete Wigner functions possess a number of properties similar to the Wigner function for a continuous quant...

The calculation of the oscillation condition is one of the main points of oscillator analysis. Its determination in finite term allows one to calculate the steady state amplitude and frequency of the oscillator. Symbolic solutions provide an additional insight into the behavior of the circuit. As an example the sensitivity of the oscillator to parameter change can be expressed in an exact form....