Degradation of UWB Data Packet Detectability with Finite Clock Uncertainty Range

In this paper the degradation in the detectability of an isolated UWB data packet due to an unknown clock offset of the transmitter is quantified based on the uncertainty range of the clock frequency. Receiver operating curves (ROC) of the receiver packet detection performance are presented for the ideal detection as well as practical implementations of the generalized likelihood ratio test (GLRT). As demonstrated for practical receiver implementations, there is a modest loss in the packet detectability for a clock offset uncertainty ranges typically encountered in consumer grade clock oscillators.