A novel digital oscillator topology for microelectromechanical systems (MEMS) based on bandpass sigma–delta modulation is presented. Short pulses of force of the same amplitude maintain the oscillation and the associated bit-stream output serves to know the oscillation frequency which, for low mechanical losses, is very close to the natural frequency of the MEMS resonator. Position-sensing requ...

-In integrated circuits, ring oscillator (RO) has many applications. In these applications, how to obtain the accurate oscillation frequency is an important issue for the design. In this paper, we explore the feedback problem of a N-stage ring oscillator. This paper proposes a more rigorous approach to analyze the ring oscillator. It can be approximated that the feedback system of a ring oscill...

The frequency of a voltage-controlled oscillator (VCO) varies with the voltage applied to its tuning port. Operating in a phase-locked loop (PLL), the VCO provides a stable local oscillator (LO) for frequency conversion in superheterodyne receivers. VCOs are also used in transmit chains, where they upconvert the baseband signal to a radio frequency (RF) suitable for transmission over the airwav...

A PLL Design Based on a Standing Wave Resonant Oscillator. (August 2010) Vinay Karkala, B. Tech., Indian Institute of Technology Madras, India Chair of Advisory Committee: Dr. Sunil P. Khatri In this thesis, we present a new continuously variable high frequency standing wave oscillator and demonstrate its use in generating the phase locked clock signal of a digital IC. The ring based standing w...

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...

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....

The linearly damped oscillator equation is considered with the damping term generalized to a Caputo fractional derivative. The order of the derivative being considered is 0 ≤ v ≤ 1. At the lower end v 0 the equation represents an undamped oscillator and at the upper end v 1 the ordinary linearly damped oscillator equation is recovered. A solution is found analytically, and a comparison with the...

In this paper, He’s amplitude frequency formulation is used to obtain a periodic solution for a nonlinear oscillator with fractional potential. By calculation and computer simulations, compared with the exact solution shows that the result obtained is of high accuracy. Keywords—He’s amplitude frequency formulation; Periodic solution; Nonlinear oscillator; Fractional potential.

All Digital Phase locked loops (ADPLL) plays a major role in System on Chips (SoC). Many EDA tools are used to design such complicated ADPLLs. It operates on two modes such as frequency acquisition mode and phase acquisition mode. Frequency acquisition mode is faster compared to Phase acquisition, hence frequency synthesis is performed. The CMOS technology is used to design such a complex desig...

Sensors based on nanoelectromechanical systems vibrating at high and ultrahigh frequencies are capable of levels of performance that surpass those of larger sensors. Nanoelectromechanical devices have achieved unprecedented sensitivity in the detection of displacement, mass, force and charge. To date, these milestones have been achieved with passive devices that require external periodic or imp...