A vibrating structure gyroscope includes a permanent magnet, a structure arranged in a magnetic field of the permanent magnet and arranged to vibrate under stimulation from at least one primary drive electrode and a drive system that includes: one primary drive electrode arranged at least one primary sense electrode arranged to sense motion in the vibrating structure and a drive control loop controlling the primary drive electrode dependent on the primary sense electrode. The structure also includes a compensation unit arranged to receive a signal from the drive system representative of a gain in the drive control loop and arranged to output a scale factor correction based on that signal. As the magnet degrades (e.g. naturally over time as the material ages), the magnetic field weakens. To compensate for this, the primary drive control loop will automatically increase the gain.

An inertial sensor includes a substantially planar, rotationally symmetric proof mass, a capacitive pick-off circuit connected to the proof mass, an electrical drive circuit connected to the four pairs of electrodes. The drive circuit is arranged to apply first in-phase and anti-phase pulse width modulation (PWM) drive signals with a first frequency to the first and third electrode pairs, such that one electrode in each pair is provided with in-phase PWM drive signals and the other electrode in each pair is provided with anti-phase PWM drive signals and to apply second in-phase and anti-phase PWM drive signals with a second frequency, different to the first frequency, to the second and fourth electrode pairs, such that one electrode in each pair is provided with in-phase PWM drive signals and the other electrode in each pair is provided with anti-phase PWM drive signals.

A single proof-mass, dual-axis gyroscope apparatus comprises a resonating body member and first and second electrodes each capacitively coupled to the resonating body member by a respective lateral capacitive air gap and a vertical capacitive air gap. The width of one of the lateral capacitive air gap of the first electrode is substantially smaller than the vertical capacitive air gap. The width of one of the vertical capacitive air gap of the second electrode is substantially smaller than the lateral capacitive air gap. The apparatus claimed can address the process variation such as vertical and lateral dimension variation by electrostatic tuning method.

A single proof-mass, dual-axis gyroscope apparatus comprises a resonating body member and first and second electrodes each capacitively coupled to the resonating body member by a respective lateral capacitive air gap and a vertical capacitive air gap. The width of one of the lateral capacitive air gap of the first electrode is substantially smaller than the vertical capacitive air gap. The width of one of the vertical capacitive air gap of the second electrode is substantially smaller than the lateral capacitive air gap. The apparatus claimed can address the process variation such as vertical and lateral dimension variation by electrostatic tuning method.

A method of demodulating a MEMS sensor pickoff signal from a vibrating resonator of said sensor, the method comprising: sampling the pickoff signal with an asynchronous ADC at a sampling rate of at least 50 times the resonant frequency of the resonator to generate a stream of samples; generating a first value by combining samples from said stream of samples according to a selected operation, said operation being selected in dependence on a synchronous clock signal that is synchronous to the resonant frequency of the resonator, said synchronous clock signal having a frequency at least twice the resonant frequency of the resonator; and counting the number of samples contributing to the first value. The increased sampling rate of the pickoff signal allows a much higher number of samples to be taken into account, thereby reducing noise. However, the ADC asynchronously from the resonator of the MEMS sensor.

A method of demodulating a MEMS sensor pickoff signal from a vibrating resonator of said sensor, the method comprising: sampling the pickoff signal with an asynchronous ADC at a sampling rate of at least 50 times the resonant frequency of the resonator to generate a stream of samples; generating a first value by combining samples from said stream of samples according to a selected operation, said operation being selected in dependence on a synchronous clock signal that is synchronous to the resonant frequency of the resonator, said synchronous clock signal having a frequency at least twice the resonant frequency of the resonator; and counting the number of samples contributing to the first value. The increased sampling rate of the pickoff signal allows a much higher number of samples to be taken into account, thereby reducing noise. However, the ADC asynchronously from the resonator of the MEMS sensor.

The present invention is related to a triaxial micro-electromechanical gyroscope, comprising: a ring-shaped detection capacitor located at the center; two sets of driving capacitors located at outer sides of the ring-shaped detection capacitor and symmetrically distributed at two sides of an origin along a y-axis; two sets of second detection capacitors located at the outer sides of the ring-shaped detection capacitor respectively and symmetrically distributed at the two sides of the origin along an x-axis; and a linkage part connected with movable polar plates of the driving capacitors, movable polar plates of the second detection capacitors, and an outer edge of ring-shaped upper polar plates of the ring-shaped detection capacitor, respectively. The triaxial micro-electromechanical gyroscope provided by the present invention adopts a single structure design, and integrates capacitive electrostatic driving and differential capacitive detection.

A bulk acoustic wave resonator apparatus includes a resonator member, at least one anchor structure coupling the resonator member to a substrate, and a comb-drive element connected to the resonator member. The comb-drive element includes first comb fingers protruding from the resonator member, and second comb fingers of a different material than the first comb fingers interdigitated with the first comb fingers to define sub-micron capacitive gaps therebetween. Respective sidewalls of the first comb fingers are oppositely-tapered relative to respective sidewalls of the second comb fingers along respective lengths thereof, such that operation of the comb-drive element varies the sub-micron capacitive gaps at the respective sidewalls thereof. Respective tuning electrodes, which are slanted at respective angles parallel to an angle of respective sidewalls of the resonator member, may also be provided for quadrature tuning between different resonance modes of the resonator member. Related devices and fabrication methods are also discussed.

An on-chip strain measurement device that uses precision frequency measurements to precisely extract sub-nm displacements, allowing residual strain measurements in a given structural film. Strain-induced gap changes to resonance frequencies use differential strategies to remove bias uncertainty, allowing measurement of sub-nm displacements. Gap-dependent electrical stiffness is used to shift resonance frequencies as structural elements stretch or shrink to relieve strain. An output based on differential frequencies between two proximal structures with unequal stress arm lengths removes uncertainty on the initial gap spacing. The ability to precisely measure the frequency of the high-Q structures allows lifetime stress correction of micromechanical circuits, such as oscillators and filters.

A gyroscope assembly includes a sense proof mass and a compensation proof mass. The sense proof mass has a sense frequency response in a sense dimension and is configured to move in a drive dimension in response to a drive signal, and to move in the sense dimension in response to experiencing an angular velocity about a sense input axis while moving in the drive dimension. And the compensation proof mass has, in the sense dimension, a compensation frequency response that is related to the sense frequency response.