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....

In this paper, a different topology for ultra-low voltage oscillators is presented. It is based on a classical common-gate Colpitts Oscillator, but with additional positive feedback provided by an inductive gate degeneration. This increase in the positive feedback decreases the required transconductance in order to start-up the circuit, which is used here to reduce the minimum supply voltage. T...

This paper describes the development of a micromachined silicon platform fabricated using the dissolved wafer process that supports: (1) high self-resonance frequency and quality factor inductors suspended on a dielectric membrane, (2) low-loss thin-film capacitors, and (3) polysilicon resistors. The process uses deep boron diffusion to create silicon anchors, which support a stress compensated...

This paper presents a new quadrature voltage-controlled oscillator (QVCO), which consists of two p-core Colpitts cross-coupled voltage-controlled oscillators (VCOs) with an LC ring resonator to provide the quadrature outputs. The proposed CMOS QVCO has been implemented with the TSMC 0.18μm CMOS technology and the die area is 0.478×0.82mm2. At the supply voltage of 1.5V, the total power consumpt...

The computer-aided design community is in need of novel methodologies for the verification of analog circuits because of the growing importance of such circuits in embedded system designs. This paper demonstrates a verification flow of analog circuit functional properties. In the proposed approach, system equations are automatically extracted from an analog circuit description by means of bond ...