The MEMS gyroscope has a mobile mass carried by a supporting structure to move in a driving direction and in a first sensing direction, perpendicular to each other. A driving structure governs movement of the mobile mass in the driving direction at a driving frequency. A movement sensing structure is coupled to the mobile mass and detects the movement of the mobile mass in the sensing direction. A quadrature-injection structure is coupled to the mobile mass and causes a first and a second movement of the mobile mass in the sensing direction in a first calibration half-period and, respectively, a second calibration half-period. The movement-sensing structure supplies a sensing signal having an amplitude switching between a first and a second value that depend upon the movement of the mobile mass as a result of an external angular velocity and of the first and second quadrature movements. The first and second values of the sensing signal are subtracted from each other and compared with a stored difference value to supply information of variation of the scale factor.

The MEMS gyroscope has a mobile mass carried by a supporting structure to move in a driving direction and in a first sensing direction, perpendicular to each other. A driving structure governs movement of the mobile mass in the driving direction at a driving frequency. A movement sensing structure is coupled to the mobile mass and detects the movement of the mobile mass in the sensing direction. A quadrature-injection structure is coupled to the mobile mass and causes a first and a second movement of the mobile mass in the sensing direction in a first calibration half-period and, respectively, a second calibration half-period. The movement-sensing structure supplies a sensing signal having an amplitude switching between a first and a second value that depend upon the movement of the mobile mass as a result of an external angular velocity and of the first and second quadrature movements. The first and second values of the sensing signal are subtracted from each other and compared with a stored difference value to supply information of variation of the scale factor.

An inertial sensor includes a substrate, a first inertial sensor element provided on the substrate, a lid bonded to the substrate so as to cover the first inertial sensor element, a first drive signal terminal that is provided outside the lid and is for a drive signal to be applied to the first inertial sensor element, and a first detection signal terminal that is provided outside the lid and is for a detection signal output from the first inertial sensor element, in which, in plan view of the substrate, the first drive signal terminal and the first detection signal terminal are provided with the lid interposed therebetween.

An angular rate sensor includes first, second, third, and fourth proof masses spaced apart from a surface of a substrate, each of the first, second, third, and fourth proof masses being configured to move along first and second transverse axes parallel to the surface of the substrate. A first coupling structure is interposed between and interconnects the first and second proof masses. A second coupling structure is interposed between and interconnects the second and third proof masses. A third coupling structure is interposed between and interconnects the third and fourth proof masses. A fourth coupling structure is interposed between and interconnects the fourth and first proof masses. The first, second, third, and fourth coupling structures are configured to constrain an in-phase motion of adjacent ones of the first, second, third, and fourth proof masses along the first and second transverse axes.

A frequency modulation MEMS triaxial gyroscope, having two mobile masses; a first and a second driving body coupled to the mobile masses through elastic elements rigid in a first direction and compliant in a second direction transverse to the first direction; and a third and a fourth driving body coupled to the mobile masses through elastic elements rigid in the second direction and compliant in the first direction. A first and a second driving element are coupled to the first and second driving bodies for causing the mobile masses to translate in the first direction in phase opposition. A third and a fourth driving element are coupled to the third and fourth driving bodies for causing the mobile masses to translate in the second direction and in phase opposition. An out-of-plane driving element is coupled to the first and second mobile masses for causing a translation in a third direction, in phase opposition. Movement-sensing electrodes generate frequency signals as a function of external angular velocities.

A frequency modulation MEMS triaxial gyroscope, having two mobile masses; a first and a second driving body coupled to the mobile masses through elastic elements rigid in a first direction and compliant in a second direction transverse to the first direction; and a third and a fourth driving body coupled to the mobile masses through elastic elements rigid in the second direction and compliant in the first direction. A first and a second driving element are coupled to the first and second driving bodies for causing the mobile masses to translate in the first direction in phase opposition. A third and a fourth driving element are coupled to the third and fourth driving bodies for causing the mobile masses to translate in the second direction and in phase opposition. An out-of-plane driving element is coupled to the first and second mobile masses for causing a translation in a third direction, in phase opposition. Movement-sensing electrodes generate frequency signals as a function of external angular velocities.

A gyro sensor includes a plurality of beams connected via a turnaround part. A groove is provided on a main surface of at least one beam of the plurality of beams. Wall thicknesses on the main surface of two sidewalls facing each other of the groove in a direction orthogonal to a longitudinal direction of the beam satisfy 0.9≤T1/T2≤1.1, where T1 is the wall thickness of one sidewall and T2 is the wall thickness of the other sidewall.

A gyro sensor includes a plurality of beams connected via a turnaround part. A groove is provided on a main surface of at least one beam of the plurality of beams. Wall thicknesses on the main surface of two sidewalls facing each other of the groove in a direction orthogonal to a longitudinal direction of the beam satisfy 0.9≤T1/T2≤1.1, where T1 is the wall thickness of one sidewall and T2 is the wall thickness of the other sidewall.

Systems and methods for suppressing bias in a non-degenerate vibratory structure are provided. In certain embodiments, a vibratory structure includes a first proof mass; a second proof mass, wherein the first proof mass and the second proof mass are driven into motion along a first axis, wherein the first proof mass and the second proof mass move in anti-phase along a second axis, wherein the motion of the first proof mass and the second proof mass along the second axis is such that the centers of mass of the first proof mass and the second proof mass move collinearly along a same axis.

Systems and methods for suppressing bias in a non-degenerate vibratory structure are provided. In certain embodiments, a vibratory structure includes a first proof mass; a second proof mass, wherein the first proof mass and the second proof mass are driven into motion along a first axis, wherein the first proof mass and the second proof mass move in anti-phase along a second axis, wherein the motion of the first proof mass and the second proof mass along the second axis is such that the centers of mass of the first proof mass and the second proof mass move collinearly along a same axis.