This paper reports time-dependent now characteristics or a turbulent water
jet impinging vertically upward upon a water-air interface. Mexican-hat wav
elet transform was applied to the time-dependent velocity fluctuations obta
ined in the region near to the air-water interface in order to analyze spat
iotemporal turbulent structure at different time scales. The further unders
tanding of the physical meanings of the wavelet transforms was tried by the
analysis using logarithmic expectation and information entropy of informat
ion theory. It has been found that the near-interface turbulent structure i
s constituted not only by the impingement of the large-scale structure of t
he approaching turbulent jet but also by the time-dependent deformation of
the surface bump. Time-series images of the surface bump visualized by an a
rgon laser sheet technique showed some periodical regulation of the surface
bump coming from the large-scale structure of the impinging jet.