3D Position Sensing Using the Differences in the Time-of-flights from a Wave Source to Various Receivers
3D positioning systems typically use actual time-of-flights for triangulation to determine the position of a wave source. Problems, such as inherent time delays and synchronization of the receiver/transmitter pairs are prevalent in these systems. This paper presents a novel formulation for the estimation of the coordinates of an ultrasonic wave source based on the differences in the time-of-flights (TOFs) to various receivers fixed in an inertial frame of reference. A thorough analysis of the formulation and a 1D prototype are presented. Typical applications benefiting from this technology are position sensing systems that may be used in robotics, AGV guidance and navigation, virtual reality, and vibrations.
Walworth, Maurice and Mahajan, Ajay, "3D Position Sensing Using the Differences in the Time-of-flights from a Wave Source to Various Receivers" (1997). Mechanical Engineering Faculty Research. 418.