  In this paper, we investigate the modification of our expressions developed
for the model-independent data analysis procedure of the reconstruction of the
(time-averaged) one-dimensional velocity distribution of Galactic Weakly
Interacting Massive Particles (WIMPs) with a non-negligible experimental
threshold energy. Our numerical simulations show that, for a minimal
reconstructable velocity of as high as O(200) km/s, our model-independent
modification of the estimator for the normalization constant could provide
precise reconstructed velocity distribution points to match the true WIMP
velocity distribution with a <~ 10% bias.
