Abstract: An autonomous oscillator synchronizes to an external harmonic force only when the forcing frequency lies within a certain interval, known as the synchronization range, around the oscillator's natural frequency. Under ordinary conditions, the width of the synchronization range decreases when the oscillation amplitude grows, which constrains synchronized motion of micro- and nano-mechanical resonators to narrow frequency and amplitude bounds. The present invention shows that nonlinearity in the oscillator can be exploited to manifest a regime where the synchronization range increases with an increasing oscillation amplitude. The present invention shows that nonlinearities in specific configurations of oscillator systems, as described herein, are the key determinants of the effect. The present invention presents a new configuration and operation regime that enhances the synchronization of micro- and nano-mechanical oscillators by capitalizing on their intrinsic nonlinear dynamics.

Abstract: A stress compensated oscillator circuitry comprises a sensor arrangement for providing a sensor output signal SSensor, wherein the sensor output signal SSensor is based on an instantaneous stress or strain component ? in the semiconductor substrate, a processing arrangement for processing the sensor output signal SSensor and providing a control signal SControl depending on the instantaneous stress or strain component ? in the semiconductor substrate, and an oscillator arrangement for providing an oscillator output signal Sosc having an oscillator frequency fosc based on the control signal SControl, wherein the control signal SControl controls the oscillator output signal Sosc, and wherein the control signal SControl reduces the influence of the instantaneous stress or strain component ? in the semiconductor substrate onto the oscillator output signal Sosc, so that the oscillator circuitry provides a stress compensated oscillator output signal.

Abstract: A nano-electro-mechanical systems (NEMS) oscillator can include an insulating substrate, a source electrode and a drain electrode, a metal local gate electrode, and a micron-sized, atomically thin graphene resonator. The source electrode and drain electrode can be disposed on the insulating substrate. The metal local gate electrode can be disposed on the insulating substrate. The graphene resonator can be suspended over the metal local gate electrode and define a vacuum gap between the graphene resonator and the metal local gate electrode.

Abstract: A method for controlling a semiconductor circuit, including forming an inductor and a capacitor on a substrate, which are inductively coupled to one another. The inductor has an inductance value while the capacitor has a capacitance value. The inductor and capacitor make up an oscillator circuit with two terminals. Eddy currents are generated through the capacitor when an operating current flows along the inductor. These eddy currents influence, by inductive coupling, the inductance value and performance of the oscillator circuit, thus simultaneously tuning the inductance and capacitance of the oscillator circuit.

Abstract: An apparatus comprises a digitally controlled circuit having a variable capacitance and a controller configured to adjust a magnitude of the variable capacitance of the digitally controlled circuit. The digitally controlled circuit comprises a plurality of gain elements, the plurality of gain elements comprising one or more positive voltage-to-frequency gain elements and one or more negative voltage-to-frequency gain elements. The controller is configured to adjust the magnitude of the capacitance by adjusting the gain provided by respective ones of the gain elements in an alternating sequence of the positive voltage-to-frequency gain elements and the negative voltage-to-frequency gain elements.

Abstract: A method for generating a CPT resonance, includes applying an electric current to a laser light-emitting element, to emit laser light having at least two wavelengths. The value of a direct current component of the electric current applied to the laser light-emitting element in a first period is greater than an oscillation threshold for the laser light-emitting element, and the value of the direct current component of the electric current applied to the laser light-emitting element in a second period, following the first period, is less than the value of the direct current component of the electric current in the first period. An alkali metal atom is irradiated with the laser light, the laser light generated in the first period and the laser light generated in the second period entering the alkali metal atom repeatedly a plurality of times to generate a Ramsey resonance.

Abstract: Methods and apparatus for anchoring resonators, such as microelectromechanical systems (MEMS) resonators. A resonator may include a substrate, a mechanical resonating structure, and at least one anchor. The mechanical resonating structure may be configured to resonate in a resonance mode of vibration at a frequency. The anchor may couple the mechanical resonating structure to the substrate. The anchor may be configured to exhibit an acoustic bandgap at the frequency of the resonance mode of vibration of the mechanical resonating structure. The anchor may be oriented in a direction substantially parallel to a direction of propagation of the resonance mode of vibration of the mechanical resonating structure.

Abstract: A frequency synthesizer comprising a first phase locked loop (PLL) circuit coupled to receive a reference frequency signal from a reference oscillator, the first PLL circuit comprising a first voltage controlled oscillator (VCO) having a bulk acoustic wave (BAW) resonator and a first fractional feedback divider circuit, the first PLL circuit outputting a first tuned frequency signal and a first plurality of integer divider circuits coupled to receive the first tuned frequency signal from the first PLL circuit and each of the first plurality of integer-only post-PLL divider circuits to provide one of a plurality of output frequency signals of the frequency synthesizer.

Abstract: Aspects of the present disclosure involve an audio clocking device including high-frequency crystal oscillators capable of consistent low jitter and phase noise. The audio clocking device ensures that any low-jitter and low-noise signals are maintained as the signal propagates through circuitry of the audio clocking device.

Abstract: A circuit including an amplitude detector. The amplitude detector includes an input to receive a signal having an amplitude voltage and a first pair of transistors configured in parallel. The input is coupled to the control terminal of at least one transistor of the first pair. The amplitude detector includes a first node providing a voltage indicative of the amplitude voltage. The first node is in series with each of the first pair of transistors. The circuit includes a compensation circuit. The compensation circuit includes a second pair of transistors configured in parallel and a second node. The second node is coupled in series with each transistor of the second pair. The circuit includes an amplifier including a first amplifier input coupled to the first node and a second amplifier input coupled to the second node.

Abstract: A method includes forming a resonator comprising a plurality of switched impedances spatially distributed within the resonator, selecting a resonant frequency for the resonator, and distributing two or more transconductance elements within the resonator based on the selected resonant frequency. Distributing the two or more transconductance elements may include non-uniformly distributing the two or more transconductance elements within the resonator.

Abstract: A method includes forming a resonator comprising a plurality of switched impedances spatially distributed within the resonator, selecting a resonant frequency for the resonator, and distributing two or more transconductance elements within the resonator based on the selected resonant frequency. Distributing the two or more transconductance elements may include non-uniformly distributing the two or more transconductance elements within the resonator.

Abstract: A voltage controlled oscillator (VCO) is disclosed. The VCO includes an amplifier that receives a control signal and a feedback signal and generates an amplified output signal based on the difference between the control signal and the feedback signal. The VCO also includes circuitry to generate an oscillating output signal based on the amplifier output signal. Additionally, the VCO includes a feedback amplifier that generates the feedback signal based on the output of the amplifier. The feedback amplifier includes a first resistor connected in parallel with a second resistor, the second resistor having an adjustable resistance.

Abstract: A method and circuitry for generating a trigger signal based on an oscillation signal and associated non-transitory computer program product are provided. The method includes following steps. Firstly, a calibration value is obtained according to a reference frequency and a frequency of the oscillation signal, and a counting value is gradually altered from a first initial value to a breakpoint value. Secondly, the counting value is updated to a second initial value when the counting value is equal to the breakpoint value. Then, the counting value is gradually altered from the second initial value to a final value, and the trigger signal is generated when the counting value is equal to the final value.

Abstract: An oscillator includes an oscillation source, multiple temperature control elements, and a controller adapted to perform control to suppress an increase in current consumed in one or more of the temperature control elements during at least part of a period from when operation of the oscillation source initiates to when the oscillation source reaches a specified temperature.

Abstract: An oscillator circuit that includes a Wien bridge oscillator circuit, a full-wave rectifier circuit, coupled to an output of the Wien bridge oscillator circuit, an integrator circuit, coupled to an output of the full-wave rectifier circuit, and a multiplier circuit. The multiplier circuit may include a first input coupled to the output of the Wien bridge oscillator circuit, and a second input, coupled to an output of the integrator, wherein the multiple signals are configured to provide dynamic gain control to the Wien bridge oscillator circuit.

Abstract: A master voltage controlled oscillator (VCO) produces an output signal at an operating frequency of at least 100 gigaHertz (GHz). A buffer VCO injection-locked to an output of the master VCO produces an output signal at the operating frequency with a voltage swing greater than 50% of an output voltage swing of the master VCO output signal. The buffer VCO operates without pulling, and can drive a load of at least three times greater than a nominal load. Phase noise in the output of the buffer VCO is as much as ?96 decibels (dB) relative to the carrier (dBc) per Hertz (Hz) at 125 GHz with a 1 megaHertz (MHz) offset.

Abstract: An atomic oscillator includes an atom cell having an internal space in which alkali metal is encapsulated, a first light source section for making a resonance light pair, which is circularly polarized in the same direction as each other and resonates the alkali metal, enter the internal space using light from a first light source, a second light source for making adjustment light, which is circularly polarized in a rotational direction opposite to the direction of the resonance light pair and resonates the alkali metal, enter the internal space from the same side as the resonance light pair using light from a second light source, and an aperture member disposed between the internal space, and the first light source and the second light source.

Abstract: A crystal unit includes: a crystal substrate; and a pair of excitation electrodes formed respectively on both surfaces of the crystal substrate, wherein at least one of the pair of excitation electrodes has a pattern serving as both of an excitation electrode and a coil. An oscillator includes a package and a crystal unit accommodated in the package. The crystal unit includes a crystal substrate, and a pair of excitation electrodes formed respectively on both surfaces of the crystal substrate. At least one of the pair of excitation electrodes has a pattern serving as both of an excitation electrode and a coil. An oscillation circuit is accommodated in the package and electrically connected to the crystal unit.

Abstract: A piezoelectric device package may include: a case having a plurality of terminals formed on a lower surface thereof; a piezoelectric device formed in the case; a temperature measuring device formed on the lower surface of the case and having a thin film form; and a cover member enclosing an upper portion of the case.