Optimally overlapped ultrasonic sensor ring design for minimal positional uncertainty in obstacle detection

This paper presents the optimal overlapping arrangement of a circular array of ultrasonic sensors for minimal positional uncertainty in obstacle detection. First, it is shown that beam overlap among three adjacent ultrasonic sensors leads to significant reduction of positional uncertainty. Second, the positional uncertainty of an overlapped ultrasonic sensor ring is compared to a single ultrasonic sensor in terms of a collision-free region with obstacles. Third, the optimal design index for an overlapped ultrasonic sensor ring is defined as the area closest between the non-overlapped and overlapped sensing sub-zones. Fourth, using commercial low directivity ultrasonic sensors, an optimally overlapped ultrasonic sensor ring is given along with its prototype installed on top of a mobile robot. Finally, experimental results are given to demonstrate the validity and performance of our overlapped ultrasonic sensor ring prototype.