A fractional lower-order, moment-based adaptive algorithm for estimati
ng the time difference of arrival between signals received at two spat
ially separated sensors in the presence of impulsive noise modelled as
a stable process is proposed. The method is computationally efficient
and is a generalisation of the simplified explicit time delay estimat
or. Convergence of the algorithm is analysed and simulation results ar
e included to evaluate its estimation performance for both static and
nonstationary delays.