The problem of estimating the subsample time delay between two noise-c
orrupted narrowband signals is considered. Significant improvements to
two previously proposed estimators, the MXS and MSX, are made. The pe
rformance of the revised estimators is assessed through simulation ove
r a range from -10 to 20 dB, with four well known estimators, two of w
hich are asymptotically maximum likelihood (the direct correlator and
the average square difference function) and the other two are windowed
versions of them (the generalized cross-correlator and generalized le
ast squares). Also, the estimators are applied to ultrasonic experimen
tal data at three different SNRs. At low SNR, the MXS/MSX estimators a
re shown to exhibit a significant reduction in the variance of the est
imates.