  Relative positioning between multiple mobile users is essential for many
applications, such as search and rescue in disaster areas or human social
interaction. Inertial-measurement unit (IMU) is promising to determine the
change of position over short periods of time, but it is very sensitive to
error accumulation over long term run. By equipping the mobile users with
ranging unit, e.g. ultra-wideband (UWB), it is possible to achieve accurate
relative positioning by trilateration-based approaches. As compared to vision
or laser-based sensors, the UWB does not need to be with in line-of-sight and
provides accurate distance estimation. However, UWB does not provide any
bearing information and the communication range is limited, thus UWB alone
cannot determine the user location without any ambiguity. In this paper, we
propose an approach to combine IMU inertial and UWB ranging measurement for
relative positioning between multiple mobile users without the knowledge of the
infrastructure. We incorporate the UWB and the IMU measurement into a
probabilistic-based framework, which allows to cooperatively position a group
of mobile users and recover from positioning failures. We have conducted
extensive experiments to demonstrate the benefits of incorporating IMU inertial
and UWB ranging measurements.
