A robotic mapping and tracking system including a robot and boundary posts are disclosed. The robot includes an ultrasonic transmitter, a processor and a camera component. The boundary posts are configured to be placed adjacent to a boundary of a working region. Each boundary post of the plurality of boundary posts includes an ultrasonic receiver. Time-of-flights of the ultrasonic waves are measured to identify distances in between the robot and boundary posts. The camera component of the robot captures an image of an environment of the robot. The processor of the robot analyzes the image of the environment and identifies at least a portion of the working region in front of the robot from the image. The processor of the robot determines a moving route based on the identified portion of the working region in front of the robot and the distances in between the robot and the boundary posts.

A robotic mapping and tracking system including a robot and boundary posts are disclosed. The robot includes an ultrasonic transmitter, a processor and a camera component. The boundary posts are configured to be placed adjacent to a boundary of a working region. Each boundary post of the plurality of boundary posts includes an ultrasonic receiver. Time-of-flights of the ultrasonic waves are measured to identify distances in between the robot and boundary posts. The camera component of the robot captures an image of an environment of the robot. The processor of the robot analyzes the image of the environment and identifies at least a portion of the working region in front of the robot from the image. The processor of the robot determines a moving route based on the identified portion of the working region in front of the robot and the distances in between the robot and the boundary posts.

Apparatus and methods for enhanced wireless determination of a position and direction of a smart device are describe which support the display of a virtual tag upon a user interface of the smart device. Wireless transceivers controlled by the smart device communicate with reference point transceivers to generate data sufficient to determine relative positions of the wireless transceivers and a direction of interest. Operation of LIDAR may be operative to verify the position and direction of the Smart Device as well as a topography of the environment.

Apparatus and methods for enhanced wireless determination of a position and direction of a smart device are describe which support the display of a virtual tag upon a user interface of the smart device. Wireless transceivers controlled by the smart device communicate with reference point transceivers to generate data sufficient to determine relative positions of the wireless transceivers and a direction of interest. Operation of LIDAR may be operative to verify the position and direction of the Smart Device as well as a topography of the environment.

Methods, apparatuses, and systems for calculating time delays by a Wasserstein approach are provided. A plurality of signals are recorded by a plurality of sensors (three or more), respectively, and received at a controller. The plurality of signals recorded by the plurality of sensors are generated in response to a signal emitted by a source. The plurality of signals are converted into a plurality of probability density functions. A cumulative distribution transform for each of the plurality of probability density functions is calculated. A time delay for each unique pair of the plurality of sensors is calculated by minimizing a Wasserstein distance between two cumulative distribution transforms corresponding to the unique pair of the plurality of sensors

An ultrawide band two-way ranging based positioning system includes a number of active tags each having a position, and a number of beacons configured for location of a position of a tag of the plurality of active tags. The active tags and the beacons are synchronized continuously to a common time base.

An ultrawide band two-way ranging based positioning system includes a number of active tags each having a position, and a number of beacons configured for location of a position of a tag of the plurality of active tags. The active tags and the beacons are synchronized continuously to a common time base.

Time of flight between two or more ultrasonic transceivers is measured using known delays. First and second transceivers are duty cycled, each having a respective receive period that is less than a measurement period during which the transceivers are configured to receive transmissions. An ultrasonic trigger pulse is transmitted by the first transceiver. The second transceiver, upon receiving the trigger pulse, transmits an ultrasonic response pulse after a first predefined delay time that is known to the first transceiver and greater than the receive period of the second transceiver. Subsequently, the first transceiver receives the ultrasonic response pulse and determines a receive time. The first transceiver determines the distance between the first transceiver and the second transceiver from a speed of sound, an elapsed time between the time of transmission of the trigger pulse and the receive time, and the first predetermine delay time.

Time of flight between two or more ultrasonic transceivers is measured using known delays. First and second transceivers are duty cycled, each having a respective receive period that is less than a measurement period during which the transceivers are configured to receive transmissions. An ultrasonic trigger pulse is transmitted by the first transceiver. The second transceiver, upon receiving the trigger pulse, transmits an ultrasonic response pulse after a first predefined delay time that is known to the first transceiver and greater than the receive period of the second transceiver. Subsequently, the first transceiver receives the ultrasonic response pulse and determines a receive time. The first transceiver determines the distance between the first transceiver and the second transceiver from a speed of sound, an elapsed time between the time of transmission of the trigger pulse and the receive time, and the first predetermine delay time.

A tracking method includes displaying visual content on a screen of a head mounted display (HMD). One or more base stations may be stationary with respect to the screen while the visual content is being displayed. In contrast, one or more objects may move with respect to the screen while the visual content is being displayed. Time-difference-of-arrival (TDoA) and/or time-of-flight (ToF) may be measured for one or more ultrasonic pulses transmitted from the base station, one or more objects, or HMD. Position and orientation of the objects and HMD may be calculated based on the TDoA and ToF. Different frequencies of pulses may be used to locate the HMD and the objects. An electromagnetic synchronization signal from the HMD and/or base station may be used to measure TDoA. Position and orientation measurements may be fused with outputs from IMUS (inertial measurement units) to reduce jitter.