Abstract: Systems and methods are described herein for extracting inertial information from nonlinear periodic signals. A system for determining an inertial parameter can include circuitry configured for receiving a first periodic analog signal from a first sensor that is responsive to motion of a proof mass, converting the first periodic analog signal to a first periodic digital signal, determining a result of trigonometrically inverting a quantity, the quantity based on the first periodic digital signal, and determining the inertial parameter based on the result.

Abstract: Systems and methods are described herein for extracting inertial information from nonlinear periodic signals. A system for determining an inertial parameter can include circuitry configured for receiving first and second analog signals from first and second sensors, each sensor responsive to motion of a proof mass. The system can include circuitry configured for determining a difference between the first and second analog signals, determining a plurality of timestamps corresponding to times at which the difference crosses a threshold, and determining a plurality of time intervals based on the timestamp. The system can include circuitry configured for determining a result of applying a trigonometric function to a quantity, the quantity based on the plurality of time intervals and determining the inertial parameter based on the result.

Abstract: Systems and methods are disclosed herein for extracting system parameters from nonlinear periodic signals from sensors. A sensor such as an inertial device includes a first structure and a second structure that is springedly coupled to the first structure. The sensor is configured to generate an output voltage based on a current between the first and second structures. Monotonic motion of the second structure relative to the first structure causes a reversal in direction of the current.

Abstract: Systems and methods are disclosed herein for extracting system parameters from nonlinear periodic signals from sensors. A sensor such as an inertial device includes a first structure and a second structure that is springedly coupled to the first structure. The sensor is configured to generate an output voltage based on a current between the first and second structures. Monotonic motion of the second structure relative to the first structure causes a reversal in direction of the current.

Abstract: System and methods are disclosed herein for converting rotational motion to linear motion. A system comprising a rotational drive can be connected to a proof mass by a first structure comprising a coupling spring. An anchor can be connected to the proof mass by a second structure comprising a drive spring. The coupling spring and the drive spring can be configured to cause the proof mass to move substantially along a first axis when the rotational drive rotates about a second axis.

Abstract: Systems and methods are disclosed herein for determining rotation. A gyroscope includes a drive frame and a base, the drive frame springedly coupled to the base. The gyroscope includes a drive structure configured for causing a drive frame to oscillate along a first axis. The gyroscope includes a sense mass springedly coupled to the drive frame. The gyroscope includes a sense mass sense structure configured for measuring a displacement of the sense mass along a second axis orthogonal to the first axis. The gyroscope includes measurement circuitry configured for determining a velocity of the drive frame, extracting a Coriolis component from the measured displacement, and determining, based on the determined velocity and extracted Coriolis component, a rotation rate of the gyroscope.

Abstract: Systems and methods are disclosed herein for determining rotation. A gyroscope includes a drive frame and a base, the drive frame springedly coupled to the base. The gyroscope includes a drive structure configured for causing a drive frame to oscillate along a first axis. The gyroscope includes a sense mass springedly coupled to the drive frame. The gyroscope includes a sense mass sense structure configured for measuring a displacement of the sense mass along a second axis orthogonal to the first axis. The gyroscope includes measurement circuitry configured for determining a velocity of the drive frame, extracting a Coriolis component from the measured displacement, and determining, based on the determined velocity and extracted Coriolis component, a rotation rate of the gyroscope.

Abstract: Sensors and systems are described herein for out-of-plane sensing. In particular, the sensors and systems relate to vibratory inertial sensors implementing time-domain sensing techniques with linear combinations of multiple signals. In out-of-plane sensing, these multiple signals may be produced from a single sense mass oscillation. Time intervals produced from linear combinations of these multiple signals can be used to measure inertial parameters, such as acceleration, and other values of interest.

Abstract: Systems and methods are described herein for extracting inertial information from nonlinear periodic signals. A system for determining an inertial parameter can include circuitry configured for receiving first and second analog signals from first and second sensors, each sensor responsive to motion of a proof mass. The system can include circuitry configured for determining a difference between the first and second analog signals, determining a plurality of timestamps corresponding to times at which the difference crosses a threshold, and determining a plurality of time intervals based on the timestamp. The system can include circuitry configured for determining a result of applying a trigonometric function to a quantity, the quantity based on the plurality of time intervals and determining the inertial parameter based on the result.

Abstract: Systems and methods are disclosed herein for extracting system parameters from nonlinear periodic signals from sensors. A sensor such as an inertial device includes a first structure and a second structure that is springedly coupled to the first structure. The sensor is configured to generate an output voltage based on a current between the first and second structures. Monotonic motion of the second structure relative to the first structure causes a reversal in direction of the current.

Abstract: Systems and methods are described herein for extracting inertial information from nonlinear periodic signals. A system for determining an inertial parameter can include circuitry configured for receiving a first periodic analog signal from a first sensor that is responsive to motion of a proof mass, converting the first periodic analog signal to a first periodic digital signal, determining a result of trigonometrically inverting a quantity, the quantity based on the first periodic digital signal, and determining the inertial parameter based on the result.

Abstract: Systems and methods are disclosed herein for extracting system parameters from nonlinear periodic signals from sensors. A sensor such as an inertial device includes a first structure and a second structure that is springedly coupled to the first structure. The sensor is configured to generate an output voltage based on a current between the first and second structures. Monotonic motion of the second structure relative to the first structure causes a reversal in direction of the current.

Abstract: Systems and methods are disclosed herein for determining rotation. A gyroscope includes a drive frame and a base, the drive frame springedly coupled to the base. The gyroscope includes a drive structure configured for causing a drive frame to oscillate along a first axis. The gyroscope includes a sense mass springedly coupled to the drive frame. The gyroscope includes a sense mass sense structure configured for measuring a displacement of the sense mass along a second axis orthogonal to the first axis. The gyroscope includes measurement circuitry configured for determining a velocity of the drive frame, extracting a Coriolis component from the measured displacement, and determining, based on the determined velocity and extracted Coriolis component, a rotation rate of the gyroscope.

Abstract: Systems and methods are disclosed herein for extracting system parameters from nonlinear periodic signals from sensors. A sensor such as an inertial device includes a first structure and a second structure that is springedly coupled to the first structure. The sensor is configured to generate an output voltage based on a current between the first and second structures. Monotonic motion of the second structure relative to the first structure causes a reversal in direction of the current.

Abstract: Systems and methods are disclosed herein for extracting system parameters from nonlinear periodic signals from sensors. A sensor such as an inertial device includes a first structure and a second structure that is springedly coupled to the first structure. The sensor is configured to generate an output voltage based on a current between the first and second structures. Monotonic motion of the second structure relative to the first structure causes a reversal in direction of the current.

Abstract: Systems and methods are disclosed herein for extracting system parameters from nonlinear periodic signals from sensors. A sensor such as an inertial device includes a first structure and a second structure that is springedly coupled to the first structure. The sensor is configured to generate an output voltage based on a current between the first and second structures. Monotonic motion of the second structure relative to the first structure causes a reversal in direction of the current.

Abstract: Systems and methods are disclosed herein for determining rotation. A gyroscope includes a drive frame and a base, the drive frame springedly coupled to the base. The gyroscope includes a drive structure configured for causing a drive frame to oscillate along a first axis. The gyroscope includes a sense mass springedly coupled to the drive frame. The gyroscope includes a sense mass sense structure configured for measuring a displacement of the sense mass along a second axis orthogonal to the first axis. The gyroscope includes measurement circuitry configured for determining a velocity of the drive frame, extracting a Coriolis component from the measured displacement, and determining, based on the determined velocity and extracted Coriolis component, a rotation rate of the gyroscope.

Abstract: In one preferred embodiment, a semiconductor photodiode is provided which includes a substrate layer fabricated from a Si32 radioisotope of a first type of conductivity material and a thick-field oxide layer formed on the substrate layer. The oxide layer has a selectively patterned area to form an open region on the substrate layer. The semiconductor photodiode further includes a dopant material of a second conductivity material, which is different from the first conductivity material. The dopant material is formed within the open region on the substrate layer to form a photodiode junction. The semiconductor photodiode further includes an enclosure package enclosing the semiconductor diode for containing any radiation from the radioisotope.

Abstract: In one preferred embodiment, a semiconductor diode includes a first layer formed with a p-type semiconductor, a second layer formed with an n-type semiconductor, and a third active depletion layer contained between the first and second layers. The third layer is formed with a radioisotope of the p-type and n-type semiconductors (preferably Si 32) such that initial emission of beta particles begins in the active depletion region and substantially all of the emitted beta particles are contained within the first, second and third layers during operation. The p-type and n-type layers each have sufficient depth to contain substantially all of beta particles emitted from the depletion layer. The depth of each of the p-type and n-type layers is substantially equal to or greater than the maximum beta emission depth of the radioisotope.

Abstract: In one preferred embodiment, a semiconductor diode includes a first layer formed with a p-type semiconductor, a second layer formed with an n-type semiconductor, and a third active depletion layer contained between the first and second layers. The third layer is formed with a radioisotope of the p-type and n-type semiconductors (preferably Si 32) such that initial emission of beta particles begins in the active depletion region and substantially all of the emitted beta particles are contained within the first, second and third layers during operation. The p-type and n-type layers each have sufficient depth to contain substantially all of beta particles emitted from the depletion layer. The depth of each of the p-type and n-type layers is substantially equal to or greater than the maximum beta emission depth of the radioisotope.