Aspects of the present disclosure are directed to radar signal processing apparatuses and methods. As may be implemented in accordance with one or more embodiments, digital signals representative of received reflections of radar signals transmitted towards a target are mathematically processed to provide or construct a matrix pencil based on or as a function of a forward-backward matrix. Eigenvalues of the matrix pencil are computed and an estimation of the direction of arrival (DoA) of the target is output based on the computed eigenvalues.

The present invention relates to an apparatus for determining the position of objects in two-dimensional space having a first dimension and a second dimension, the direction vector of which is orthogonal to the direction vector of the first dimension, containing at least one transmitter (I) having at least one transmitting antenna (3) and an imaging receiver circuit (2) having at least one receiving antenna array (Rx Array) with rows (6) of receiving antennas for scanning the first dimension by means of digital beam shaping, wherein the receiving antenna array has a linear array, a sparse array or an array with an enlarged aperture, and wherein the rows (6) of receiving antennas in the receiving antenna array of the receiver circuit (2) are linearly arranged in the first dimension according to a curve function or according to the contour of a two-dimensional geometric object and are spread out in the second dimension, and to a method using the apparatus.

The present invention relates to an apparatus for determining the position of objects in two-dimensional space having a first dimension and a second dimension, the direction vector of which is orthogonal to the direction vector of the first dimension, containing at least one transmitter (I) having at least one transmitting antenna (3) and an imaging receiver circuit (2) having at least one receiving antenna array (Rx Array) with rows (6) of receiving antennas for scanning the first dimension by means of digital beam shaping, wherein the receiving antenna array has a linear array, a sparse array or an array with an enlarged aperture, and wherein the rows (6) of receiving antennas in the receiving antenna array of the receiver circuit (2) are linearly arranged in the first dimension according to a curve function or according to the contour of a two-dimensional geometric object and are spread out in the second dimension, and to a method using the apparatus.

A method for determining angle information about a direction of a target object in a radar system for a vehicle, wherein the following steps are performed: providing a first item of sensing information for a first modulation mode of the radar system, providing at least one second item of sensing information for at least a second modulation mode of the radar system, and combining the sensing information for the different modulation modes in order to perform the determination of the angle information on the basis of the combined sensing information.

A method for determining angle information about a direction of a target object in a radar system for a vehicle, wherein the following steps are performed: providing a first item of sensing information for a first modulation mode of the radar system, providing at least one second item of sensing information for at least a second modulation mode of the radar system, and combining the sensing information for the different modulation modes in order to perform the determination of the angle information on the basis of the combined sensing information.

A technique for tracking objects includes: determining a set of detected measurements based on a received return signal; determining a group that includes a set of group measurements and a set of group tracks; creating a merged factor, including a merged set of track state hypotheses associated with a merged set of existing tracks including a first set of existing tracks and a second set of existing tracks, by calculating the cross-product of a first set of previous track state hypotheses and a second set of previous track state hypotheses; determining a first new factor and a second new factor; calculating a first set of new track state hypotheses for the first new factor based on a first subset of the group measurements; and calculating a second set of new track state hypotheses for the second new factor based on a second subset of the group measurements.

Technologies for calibrating radars and tracking space objects. Some of such technologies enable a technique for calibrating a radar based on using -A- an elemental antenna (308), which can be embedded on a housing hosting a set of antenna elements, or -B- an antenna (146) mounted to a reflector. Some of such technologies enable a radar site containing a first 1D phased array (112) and a second 1D phased array (112), where the first 1D phased array sends a set of signals and receives a set of reflections based on the set of signals, and the second 1D phased array receives the set of reflections.

Technologies for calibrating radars and tracking space objects. Some of such technologies enable a technique for calibrating a radar based on using -A- an elemental antenna (308), which can be embedded on a housing hosting a set of antenna elements, or -B- an antenna (146) mounted to a reflector. Some of such technologies enable a radar site containing a first 1D phased array (112) and a second 1D phased array (112), where the first 1D phased array sends a set of signals and receives a set of reflections based on the set of signals, and the second 1D phased array receives the set of reflections.

Systems and methods for identifying a synthetic track are provided. In one embodiment, a method can include receiving, by one or more computing devices, a plurality of emissions from one or more platforms. The emissions can be generated in an emission sequence and are generated to create a track indicative of an object travel path. The method can further include determining, by the one or more computing devices, whether an irregularity associated with the track exists based at least in part on one or more of the emissions. The method can include rejecting, by the one or more computing devices, the track as an actual object travel path when it is determined that the irregularity associated with the track exists.

The invention discloses a golf ball tracking system, which includes a distributed sensor and processor system adapted to simultaneously track the trajectories of multiple golf balls hit by one of more golfers. The system is adapted to keep track of the location of the golfers to enable the allocation of shots to the correct golfer. The system is operated at a golf driving range, where multiple players can hit balls from anywhere within a designated area and/or fixed hitting bay locations. Multilateration is used to determine the location of multiple targets in 3D space, based on the reported range and Doppler from distributed radar sensors.