Detection Bound of an UWB Data Packet in the Presence of Clock Offset

Autonomous sensors that transmit small packets of telemetry data based on UWB modulation are being considered for indoor short range applications. An issue is the detection of these packets at the access node receiver due to channel noise and multipath. Detection is further compromised by the likely clock offset of the sensor transmitter. In this paper the detectability of such a packet is analyzed based on the generalized likelihood ratio test (GLRT) formulation and asymptotic detection bound is derived. The detectability of the packets is quantified through plots of the receiver operating curves (ROC) for a single path channel and compared to the theoretical performance bound.