In this work, time domain analysis is used to solve Adler’s equation in order to obtain the required time, for an oscillator under external injection, reaching the steady-state condition. Mathematical approach has been applied to fully describe the transient of frequency acquisition in injection-locked LC and Ring oscillators considering their time-varying nature. Then, the analysis is verifie...

We investigate the influence of a weakly nonlinear Josephson bath consisting chain junctions on dynamics small quantum system (LC oscillator). Focusing regime where charging energy is largest scale, we perturbatively calculate correlation function to leading order in divided by while keeping cosine potential exactly. When variation along ensures fast decay function, LC oscillator that and capac...

Networks of coupled LC oscillators that do not share a common ground node are studied. Both resistive coupling and inductive considered. For networks under coupling, it is shown the oscillator-coupler interconnection has to be bilayer if oscillator voltages asymptotically synchronize. Also, for architecture (when both couplers present) method proposed compute complex-valued effective Laplacian ...

An analysis of phase noise in differential cross-coupled tuned tank voltage controlled oscillators is presented. The effect of active device noise sources as well as the noise due to the passive elements are taken into account. The predictions are in good agreement with the measurements for different tail currents and supply voltages. The effect of the complementary cross-coupled pair is analyz...

Hassan Khalil’s research results and beautifully written textbook on nonlinear systems have influenced generations of researchers, including the authors of this paper. Using nonlinear systems techniques, this paper analyzes ring oscillator and cross-coupled oscillator circuits, which are essential building blocks in digital systems. The paper first investigates local and global stability proper...

This article presents a method for design of cross-coupled LC oscillators using open-loop technique and large signal scattering matrix parameters (S-parameters) in place of well known and established negative resistance approach. Thanks to the open-loop methodology, the main circuit parameters such as loaded quality factor, steady-state oscillation amplitude and signal frequency under large sig...

A multi-band CMOS LC Quadrature Voltage Control Oscillator (QVCO) with minimum power consumption is developed to meet the phase noise and frequency band requirements of RFID, Zigbee and Bluetooth standards. To accomplish the multi-band receiving architecture at low power consumption, current switching technique with optimized cross-coupled transistor sizes has been used. A comprehensive analysi...

A new design for an ultra-low power, low phase noise differential 10 GHz LC voltage-controlled oscillator (VCO) which is biased in the subthreshold regime, is presented in the 0.18 μm CMOS process, for the first time. The designed circuit topology is an NMOS only cross-coupled LC-tank VCO which has an extra symmetric centre tapped inductor between the source ends of the cross-coupled transistor...

This thesis presents a backgate coupled QVCO with current reused structure, and complementary cross-coupled differential Colpitts VCO and QVCO. The formally proposed QVCO not only dissipates significantly lower power but also improves 1/ƒ close-in phase noise, compared to the conventional QVCO. For verification of the suggested idea, the proposed QVCO designed for 2 GHz operation based on a 0.1...

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...