Abstract: A device has a resonator coupled to input and output nodes, the resonator being characterized by a transducer to drive the output node, and further characterized by a feedthrough capacitance such that portions of the input signal bypass the transducer to allow a spurious signal to reach the output node. The device includes a compensation capacitor coupled to the output node to define a compensation capacitance in accordance with the feedthrough capacitance. A phase inversion circuit is coupled to the compensation capacitance to generate a compensation signal and coupled to the output node such that the spurious signal is offset by the compensation signal. In some cases, a differential amplifier of the phase inversion circuit has the compensation capacitance in a feedback path to offset the feedthrough capacitance. In these and other cases, the compensation capacitance and the feedthrough capacitance may be unmatched to avoid overcompensation.

Abstract: Disclosed herein are devices and methods for generating a modulated signal with a MEMS resonator, or microresonator. A bias, or polarization, voltage for activating the MEMS resonator is determined by a control signal, or input voltage, indicative of information to be carried by the modulated signal. In some cases, the MEMS resonator may be driven by an oscillator circuit to facilitate operation of the MEMS resonator. The control signal may include an amplitude modulated voltage or a digital data stream such that output signals of the MEMS resonator or oscillator circuit may carry information via frequency modulation, such as frequency shift keying modulation.

Abstract: A device has a resonator coupled to input and output nodes, the resonator being characterized by a transducer to drive the output node, and further characterized by a feedthrough capacitance such that portions of the input signal bypass the transducer to allow a spurious signal to reach the output node. The device includes a compensation capacitor coupled to the output node to define a compensation capacitance in accordance with the feedthrough capacitance. A phase inversion circuit is coupled to the compensation capacitance to generate a compensation signal and coupled to the output node such that the spurious signal is offset by the compensation signal. In some cases, a differential amplifier of the phase inversion circuit has the compensation capacitance in a feedback path to offset the feedthrough capacitance. In these and other cases, the compensation capacitance and the feedthrough capacitance may be unmatched to avoid overcompensation.

Abstract: A signal generation technique is based on a reference frequency provided by a MEMS resonator. The signal generation technique compensates for temperature- and fabrication process-induced frequency variations collectively. In some embodiments, a device implementing the disclosed signal generation technique includes a fractional-N synthesizer, a temperature sensor, calibration data, and a sigma-delta modulator to adjust the reference frequency of the MEMS resonator to a desired frequency value while compensating for the temperature variation of the MEMS resonator.

Abstract: Disclosed herein is a timing device that includes a resonator device to generate a resonator output signal at a frequency offset from a desired frequency, a counter configured to generate an extraction signal in accordance with the frequency offset, and a timing signal generator configured to track time with a count based on the resonator output signal and modified by the extraction signal downward to reach the desired frequency.

Abstract: A device and method for fabricating the device is disclosed. The device includes a substrate having an active layer disposed on a sacrificial layer. A trench is formed in the active layer to electrically isolate first and second regions in the active layer, and a non-conductive material is deposited on the substrate such that the non-conductive material fills the trench to form a substantially planar surface for support of further components of the device. In some cases, the non-conductive material fills only a portion of the trench sufficient to form the substantially planar surface. The non-conductive material may include silicon nitride.

Abstract: Disclosed herein is a signal generation technique based on a reference frequency provided by a MEMS resonator. The signal generation technique compensates for temperature- and fabrication process-induced frequency variations collectively. In some embodiments, a device implementing the disclosed signal generation technique includes a fractional-N synthesizer, a temperature sensor, calibration data, and a sigma-delta modulator to adjust the reference frequency of the MEMS resonator to a desired frequency value while compensating for the temperature variation of the MEMS resonator.

Abstract: A method for modifying the resonance frequency of a micro-mechanical resonator, and resonators on which the method is practiced. A packaged resonator is trimmed by directing electromagnetic energy to the resonator through a transparent portion of the package. The removal of mass (by the energy) affects the resonance frequency of the resonator in a predictable manner. In some embodiments, the energy is sourced from a femtosecond laser. In some variations of the illustrative embodiment, the amount of mass to be removed is determined as a function of its location on the resonator. A mass-trimming map is developed that identifies a plurality of potential mass-trimming sites on the resonator. A site can be classified as a fine-tuning site or a coarse-tuning site as a function of the degree to which mass removal at those sites affects the resonance frequency. The sites can also be characterized as a function of their position relative to features of the resonator (e.g., nodal lines, etc.).

Abstract: A method for modifying the resonance frequency of a micro-mechanical resonator, and resonators on which the method is practiced. A packaged resonator is trimmed by directing electromagnetic energy to the resonator through a transparent portion of the package. The removal of mass (by the energy) affects the resonance frequency of the resonator in a predictable manner. In some embodiments, the energy is sourced from a femtosecond laser. In some variations of the illustrative embodiment, the amount of mass to be removed is determined as a function of its location on the resonator. A mass-trimming map is developed that identifies a plurality of potential mass-trimming sites on the resonator. A site can be classified as a fine-tuning site or a coarse-tuning site as a function of the degree to which mass removal at those sites affects the resonance frequency. The sites can also be characterized as a function of their position relative to features of the resonator (e.g., nodal lines, etc.).

Abstract: A method for modifying the resonance frequency of a micro-mechanical resonator, and resonators on which the method is practiced. A packaged resonator is trimmed by directing electromagnetic energy to the resonator through a transparent portion of the package. The removal of mass (by the energy) affects the resonance frequency of the resonator in a predictable manner. In some embodiments, the energy is sourced from a femtosecond laser. In some variations of the illustrative embodiment, the amount of mass to be removed is determined as a function of its location on the resonator. A mass-trimming map is developed that identifies a plurality of potential mass-trimming sites on the resonator. A site can be classified as a fine-tuning site or a coarse-tuning site as a function of the degree to which mass removal at those sites affects the resonance frequency. The sites can also be characterized as a function of their position relative to features of the resonator (e.g., nodal lines, etc.).

Abstract: A method for modifying the resonance frequency of a micro-mechanical resonator, and resonators on which the method is practiced. A packaged resonator is trimmed by directing electromagnetic energy to the resonator through a transparent portion of the package. The removal of mass (by the energy) affects the resonance frequency of the resonator in a predictable manner. In some embodiments, the energy is sourced from a femtosecond laser. In some variations of the illustrative embodiment, the amount of mass to be removed is determined as a function of its location on the resonator. A mass-trimming map is developed that identifies a plurality of potential mass-trimming sites on the resonator. A site can be classified as a fine-tuning site or a coarse-tuning site as a function of the degree to which mass removal at those sites affects the resonance frequency. The sites can also be characterized as a function of their position relative to features of the resonator (e.g., nodal lines, etc.).

Abstract: The illustrative embodiment of the present invention is a vertical-mode, free-free beam resonator, and micromechanical circuits that include one or more such resonators. In accordance with the illustrative embodiment, the resonator comprises a movable beam that overlies a drive electrode. The movable beam is supported by a plurality of supports, the length of which is substantially less than one-quarter of a wavelength of the resonant frequency of the resonator.