A frequency synthesiser architecture for millimetre-wave applications is proposed. The architecture is based on a triple-push oscillator, which functions both as a divider and oscillator. Thus, the proposed architecture eliminates the need for injection locked frequency dividers that are the main contributors to the limited tuning capability of millimetre-wave phase-locked loops. Since the prop...

The temperature of an oscillator coupled to the vacuum state of a heat bath via Ohmic coupling is non-zero, as measured by the reduced density matrix of the oscillator. This study shows that the actual temperature, as measured by a thermometer, is still zero (or, in the thermal state of the bath, the temperature of the bath). The decoherence temperature is due to 'false-decoherence', with a cor...

We construct electronic oscillator from acellular slime mould Physarum polycephalum. The slime mould oscillator is made of two electrodes connected by a protoplasmic tube of the living slime mould. A protoplasmic tube has an average resistance of 3 MOhm. The tube’s resistance is changing over time due to peristaltic contractile activity of the tube. The resistance of the protoplasmic tube oscil...

Several lines of evidence suggest that the circadian clock is constructed of multiple molecular feedback oscillators that function to generate robust rhythms in organisms. However, while core oscillator mechanisms driving specific behaviors are well described in several model systems, the nature of other potential circadian oscillators is not understood. Using genetic approaches in the fungus N...

Low noise oscillators are critical building blocks in a wide range of commercial electronics. Increased levels of integration have created a strong need for integrated oscillator solutions despite generally inferior noise performance. The development of non-linear noise models that can accurately and efficiently predict noise in ring oscillators aids designers in optimizing noise performance in...

-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 noncommutative harmonic oscillator in arbitrary dimension is examined. It is shown that the ⋆-genvalue problem can be decomposed into separate harmonic oscillator equations for each dimension. The noncommutative plane is investigated in greater detail. The constraints for rotationally symmetric solutions and the corresponding twodimensional harmonic oscillator are solved. The angular moment...

We define the “maximally integrable” isotropic oscillator on I CP and discuss its various properties, in particular, the behaviour of the system with respect to a constant magnetic field. We show that the properties of the oscillator on I CP qualitatively differ in the N > 1 and N = 1 cases. In the former case we construct the “axially symmetric” system which is locally equivalent to the oscill...

A completely monolithic high-Q oscillator, fabricated via a combined CMOS plus surface micromachining technology, is described, for which the oscillation frequency is controlled by a polysilicon micromechanical resonator with the intent of achieving high stability. The operation and performance of micromechanical resonators are modeled, with emphasis on circuit and noise modeling of multiport r...

We define the “maximally integrable” isotropic oscillator on I CP and discuss its various properties, in particular, the behaviour of the system with respect to a constant magnetic field. We show that the properties of the oscillator on I CP qualitatively differ in the N > 1 and N = 1 cases. In the former case we construct the “axially symmetric” system which is locally equivalent to the oscill...