Abstract: The invention, in its various aspects and embodiments, comprises a variety methods and apparatuses. The methods variously determine the delay (or phase shift) in each element of a phased array to simultaneously form, steer and/or combine a set of beam shapes. The apparatuses include apparatuses that implement the methods as well as apparatuses that employ such methods. The invention also includes a beam controlled by such methods.

Abstract: The invention, in its various aspects and embodiments, comprises a variety methods and apparatuses. The methods variously determine the delay (or phase shift) in each element of a phased array to simultaneously form, steer and/or combine a set of beam shapes. The apparatuses include apparatuses that implement the methods as well as apparatuses that employ such methods. The invention also includes a beam controlled by such methods.

Abstract: The invention, in its various aspects and embodiments, comprises a variety methods and apparatuses. The methods variously determine the delay (or phase shift) in each element of a phased array to simultaneously form, steer and/or combine a set of beam shapes. The apparatuses include apparatuses that implement the methods as well as apparatuses that employ such methods. The invention also includes a beam controlled by such methods.

Abstract: An obstacle avoidance system, apparatus, and method is described suitable for use on autonomously guided or man-in-the-loop guided vehicles such as aircraft, missiles, cars, and other types of vehicles. The system provides guidance instructions in the situation where the vehicle encounters an obstacle either directly or indirectly in its path while traveling to a desired destination or where vehicles are traveling in formation. The system can be applied not only to obstacle avoidance but also to trajectory shaping by defining obstacles, operational boundaries and/or threats which influence the trajectory of the vehicle.

Abstract: An obstacle avoidance system, apparatus, and method is described suitable for use on autonomously guided or man-in-the-loop guided vehicles such as aircraft, missiles, cars, and other types of vehicles. The system provides guidance instructions in the situation where the vehicle encounters an obstacle either directly or indirectly in its path while traveling to a desired destination or where vehicles are traveling in formation. The system can be applied not only to obstacle avoidance but also to trajectory shaping by defining obstacles, operational boundaries and/or threats which influence the trajectory of the vehicle.